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"9702-topic-13-gravitational-fields/assets/9702-2021-m-42-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 12 }, "text_excerpt": "State Newton’s law of gravitation. 1 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nPlanets have been observed orbiting a star in another solar system. Measurements are made (b)\nof the orbital radius r and the time period T of each of these planets.\n3 T2 of is shown in Fig. 1.1. The variation with R\n2.6\n2.4\n2.2\nT2 year2 /\n2.0\n1.8\n1.6\n1.4\n1.2\n1.0\n0.8\n0.6\n0.4\n0.2\n0\n0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2\nR3 1034 m3 /\nFig. 1.1\n© UCLES 2021 9702/42/F/M/21\n5\nThe relationship between T and R is given by\n4π2R3 T2 =\nGM\nwhere G is the gravitational constant and M is the mass of the star.\nDetermine the mass M.\nM = .................................................... kg [3]\nA rock of mass m is also in orbit around the star in (b). The radius of the orbit is r. (c)\nExplain why the gravitational potential energy of the rock is negative. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nof the rock is given by Show that the kinetic energy E (ii)\nk\nGMm\n= . E\nk\n2r\n[2]\nUse the expression in to derive an expression for the total energy of the rock. (iii) (c)(ii)\n[2]\n[Total: 12]\n[Turn over © UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-42-q02", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 6, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_42.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_42.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2021-m-42-q02-p01.png", "9702-topic-15-ideal-gases/assets/9702-2021-m-42-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q02", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 6 }, "text_excerpt": "105 A fixed mass of an ideal gas is at a temperature of 21 °C. The pressure of the gas is 2.3 × Pa 2\n10–3 m3. and its volume is 3.5 ×\nCalculate the number N of molecules in the gas. (a) (i)\nN = ......................................................... [2]\nThe mass of one molecule of the gas is 40 u. (ii)\nDetermine the root-mean-square (r.m.s.) speed of the gas molecules.\n–1 [2] r.m.s. speed = ................................................ m s\n© UCLES 2021 9702/42/F/M/21\n7\nThe temperature of the gas is increased by 84 °C. (b)\nCalculate the value of the ratio\nnew r.m.s. speed of molecules\n.\noriginal r.m.s. speed of molecules\nratio = ......................................................... [2]\n[Total: 6]\n[Turn over © UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-42-q03", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_42.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2021-m-42-q03-p01.png", "9702-topic-14-temperature/assets/9702-2021-m-42-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q03", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 9, 10, 11 ], "marks": 8 }, "text_excerpt": "Using a simple kinetic model of matter, describe the structure of a solid. 3 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nThe specific latent heat of vaporisation is much greater than the specific latent heat of fusion (b)\nfor the same substance.\nExplain this, in terms of the spacing of molecules.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\nA heater supplies energy at a constant rate to 0.045 kg of a substance. The variation with time (c)\nof the temperature of the substance is shown in Fig. 3.1. The substance is perfectly insulated\nfrom its surroundings.\nQ 80\n60\ntemperature\n40 / °C\n20\n0\nP\n–20\n–40\n–60\n–80\n–100\n–120\n0 1 2 3 4 5 6 7 8 9 10\n/ min time\nFig. 3.1\n© UCLES 2021 9702/42/F/M/21\n9\nDetermine the temperature at which the substance melts. (i)\ntemperature = .................................................... °C [1]\nThe power of the heater is 150 W. (ii)\n–1, the specific latent heat of vaporisation L of Use data from Fig. 3.1 to calculate, in kJ kg\nthe substance.\nkg–1 L = ..............................................kJ [3]\nSuggest what can be deduced from the fact that section on the graph is less steep (iii) Q\nthan section P.\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 8]\n[Turn over © UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-42-q04", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2021-m-42-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2021-m-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 11, 12 ], "marks": 9 }, "text_excerpt": "The defining equation of simple harmonic motion is 4 (a)\n2x. ω a = –\nState the significance of the minus (–) sign in the equation.\n...................................................................................................................................................\n............................................................................................................................................. [1]\nA trolley rests on a bench. Two identical stretched springs are attached to the trolley as shown (b)\nin Fig. 4.1. The other end of each spring is attached to a fixed support.\nsupport support\n18.0 cm\nbench\ntrolley\nspring spring\nFig. 4.1\nThe unstretched length of each spring is 12.0 cm. The spring constant of each spring is\nm–1. When the trolley is in equilibrium the length of each spring is 18.0 cm. 8.0 N\nThe trolley is displaced 4.8 cm to one side and then released. Assume that resistive forces on\nthe trolley are negligible.\nShow that the resultant force on the trolley at the moment of release is 0.77 N. (i)\n[2]\n© UCLES 2021 9702/42/F/M/21\n11\nThe mass of the trolley is 250 g. (ii)\nCalculate the maximum acceleration a of the trolley.\n–2 [1] a = ................................................ m s\nUse your answer in to determine the period T of the subsequent oscillation. (iii) (ii)\nT = ...................................................... s [3]\nThe experiment is repeated with an initial displacement of the trolley of 2.4 cm. (iv)\nState and explain the effect, if any, this change has on the period of the oscillation of the\ntrolley.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 9]\n[Turn over © UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-42-q05", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-m-42-q05-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-m-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q05", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 12, 13 ], "marks": 7 }, "text_excerpt": "State what is meant by the amplitude modulation (AM) of a radio wave. 5 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nState advantages of AM transmissions when compared with frequency modulation (ii) two\n(FM) transmissions.\n1. .......................................................................................................................................\n...........................................................................................................................................\n2. .......................................................................................................................................\n...........................................................................................................................................\n[2]\nThe variation with frequency f of the amplitude A of a transmitted radio wave after amplitude (b)\nmodulation by an audio signal is shown in Fig. 5.1.\nA\n0\n1490 1510 1500\nf / kHz\nFig. 5.1\nFor this transmission, determine:\nthe wavelength of the carrier wave (i)\nwavelength = ..................................................... m [1]\nthe maximum frequency of the transmitted audio signal. (ii)\nfrequency = .................................................. kHz [1]\n© UCLES 2021 9702/42/F/M/21\n13\nAnother audio signal with the same maximum frequency is transmitted using a different (c)\ncarrier wave frequency. The lowest frequency of this modulated wave is equal to the highest\nfrequency of the modulated wave in (b).\nDetermine the frequency of this carrier wave.\nfrequency = .................................................. kHz [1]\n[Total: 7]\n[Turn over © UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-42-q06", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2021-m-42-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2021-m-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 13, 14 ], "marks": 7 }, "text_excerpt": "State a similarity between the gravitational field lines around a point mass and the electric 6 (a)\nfield lines around a point charge.\n...................................................................................................................................................\n............................................................................................................................................. [1]\nThe variation with radius r of the electric field strength E due to an isolated charged sphere in (b)\na vacuum is shown in Fig. 6.1.\n1.3\n1.2\n1.1\n105 m–1 / V E\n1.0\n0.9\n0.8\n0.7\n0.6\n0.5\n0.4\n0.3\n0.2\n0.1\n0\n0 1 2 3 4 5 6\nr / cm\nFig. 6.1\nUse data from Fig. 6.1 to:\nstate the radius of the sphere (i)\nradius = ................................................... cm [1]\n© UCLES 2021 9702/42/F/M/21\n15\ncalculate the charge on the sphere. (ii)\ncharge = ..................................................... C [2]\nUsing the formula for the electric potential due to an isolated point charge, determine the (c)\ncapacitance of the sphere in (b).\ncapacitance = ...................................................... F [3]\n[Total: 7]\n[Turn over © UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-42-q07", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_42.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-m-42-q07-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-m-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q07", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 15 ], "marks": 9 }, "text_excerpt": "Fig. 7.1 shows the circuit diagram containing an operational amplifier (op-amp). 7 (a)\nkΩ 3.6\n+ 3.0 V\n–\n+\n– 3.0 V\nV\nOUT V kΩ 0.72\nIN\nFig. 7.1\nState the name of this type of amplifier. (i)\n..................................................................................................................................... [1]\nShow that the gain of the amplifier is 6.0. (ii)\n[1]\n© UCLES 2021 9702/42/F/M/21\n17\nAt time t = 0 the input potential V is zero. V then gradually increases with time t as (iii)\nIN IN\nshown in Fig. 7.2.\n6\n5\npotential\nV /\n4\n3\n2\n1\n0\nT\nt\nFig. 7.2\nOn Fig. 7.2 sketch a line to show the variation with time t of the output potential\nfrom time t = 0 to time t = T. [2] V\nOUT\nState how the circuit of Fig. 7.1 may be changed so that the gain of the amplifier is (iv)\ndependent on light intensity.\n...........................................................................................................................................\n..................................................................................................................................... [1]\nAn op-amp is to be used to switch on a high-voltage heater. (b)\nState the name of the component used as the output device of the op-amp. (i)\n..................................................................................................................................... [1]\nComplete Fig. 7.3 using the device named in and a diode so that the heater may be (ii) (i)\nswitched on when the output of the op-amp is positive.\n+\n–\n+\n– connections to\nhigh-voltage heater\nFig. 7.3\n[3]\n[Total: 9]\n[Turn over © UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-42-q08", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2021-m-42-q08-p01.png", "9702-topic-24-medical-physics/assets/9702-2021-m-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q08", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 15, 16 ], "marks": 8 }, "text_excerpt": "Two long straight wires P and Q are parallel to each other, as shown in Fig. 8.1. There is a 8 (a)\ncurrent in each wire in the direction shown.\nThe pattern of the magnetic field lines in a plane normal to wire P due to the current in the\nwire is also shown.\nwire P wire Q\nplane\ndirection of\ncurrent\nmagnetic field\npattern\nFig. 8.1\nDraw arrows on the magnetic field lines in Fig. 8.1 around wire P to show the direction of (i)\nthe field. [1]\nDetermine the direction of the force on wire Q due to the magnetic field from wire P. (ii)\n..................................................................................................................................... [1]\nThe current in wire Q is less than the current in wire P. (iii)\nState and explain whether the magnitude of the force on wire P is less than, equal to, or\ngreater than the magnitude of the force on wire Q.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2021 9702/42/F/M/21\n19\nNuclear magnetic resonance imaging (NMRI) is used to obtain diagnostic information about (b)\ninternal structures in the human body.\nRadio waves are produced and directed towards the body. The radio waves affect the protons\nwithin the body.\nExplain why radio waves are used. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nExplain why the radio waves are applied in pulses. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 8]\n[Turn over © UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-42-q09", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_42.pdf?download=true", "source_pages": [ 20, 21, 22 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2021-m-42-q09-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2021-m-42-q09-p02.png", "9702-topic-20-magnetic-fields/assets/9702-2021-m-42-q09-p03.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q09", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 16, 17 ], "marks": 10 }, "text_excerpt": "Define magnetic flux linkage. 9 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA solenoid of diameter 6.0 cm and 540 turns is placed in a uniform magnetic field as shown in (b)\nFig. 9.1.\nsolenoid\n540 turns\ndiameter\n6.0 cm\nmagnetic field\nFig. 9.1\nThe variation with time t of the magnetic flux density is shown in Fig. 9.2.\n250\n200\nflux density\nmT /\n150\n100\n50\n0\n0 1 2 3 4 5 6 7 8\nt / s\nFig. 9.2\nCalculate the maximum magnitude of the induced electromotive force (e.m.f.) in the solenoid.\ne.m.f. = ...................................................... V [3]\n© UCLES 2021 9702/42/F/M/21\n21\nA thin copper sheet X is supported on a rigid rod so that it hangs between the poles of a (c)\nmagnet as shown in Fig. 9.3.\nrod\ncopper sheet\nX\npoles of magnet\nFig. 9.3\nSheet X is displaced to one side and then released so that it oscillates. A motion sensor is\nused to record the displacement of X.\nA second thin copper sheet Y replaces sheet X. Sheet Y has the same overall dimensions as\nX but is cut into the shape shown in Fig. 9.4.\ncopper sheet\nY\nFig. 9.4\nThe motion sensor is again used to record the displacement.\nThe graph in Fig. 9.5 shows the variation with time t of the displacement s of each copper\nsheet.\ns\n0\nt\nFig. 9.5\n[Turn over © UCLES 2021 9702/42/F/M/21\n22\nState the name of the phenomenon illustrated by the gradual reduction in the amplitude (i)\nof the dashed line.\n..................................................................................................................................... [1]\nDeduce which copper sheet is represented by the dashed line. Explain your answer (ii)\nusing the principles of electromagnetic induction.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [4]\n[Total: 10]\n© UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-42-q10", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_42.pdf?download=true", "source_pages": [ 23, 24 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-m-42-q10-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-m-42-q10-p02.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q10", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 17 ], "marks": 8 }, "text_excerpt": "The output potential difference (p.d.) of an alternating power supply is represented by 10\nπt) V = 320 sin(100\nwhere V is the p.d. in volts and t is the time in seconds.\nDetermine the root-mean-square (r.m.s.) p.d. of the power supply. (a)\nr.m.s. p.d. = ...................................................... V [1]\nDetermine the period T of the output. (b)\nT = ...................................................... s [2]\nThe power supply is connected to resistor R and a diode in the circuit shown in Fig. 10.1. (c)\nV R\nFig. 10.1\nState the name of the type of rectification produced by the diode in Fig. 10.1. (i)\n..................................................................................................................................... [1]\n[Turn over © UCLES 2021 9702/42/F/M/21\n24\nOn Fig. 10.2 sketch the variation with time t of the p.d. V across R from time t = 0 to (ii)\nR\ntime t = 40 ms.\n400\n300\nV / V\n200\n100\n0\n0 10 20 30 40\n/ ms t\n–100\n–200\n–300\n–400\nFig. 10.2\n[3]\nOn Fig. 10.1, draw the symbol for a component that may be connected to produce (iii)\n. smoothing of V\nR\n[1]\n[Total: 8]\n© UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-42-q11", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 11, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_42.pdf?download=true", "source_pages": [ 25, 26 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2021-m-42-q11-p01.png", "9702-topic-24-medical-physics/assets/9702-2021-m-42-q11-p02.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q11", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 18, 19 ], "marks": 10 }, "text_excerpt": "Electrons are accelerated through a potential difference of 15 kV. The electrons collide with a 11 (a)\nmetal target and a spectrum of X-rays is produced.\nExplain why a continuous spectrum of energies of X-ray photons is produced. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nCalculate the wavelength of the highest energy X-ray photon produced. (ii)\nwavelength = ..................................................... m [3]\n[Turn over © UCLES 2021 9702/42/F/M/21\n26\nI A beam of X-rays has an initial intensity . The beam is directed into some body tissue. After (b)\no\nI. passing through a thickness x of tissue the intensity is The graph in Fig. 11.1 shows the\n(I/I ). variation with x of ln\no\nx / cm\n0 1 2 3 4 5 6 7 8 9 10 11\n0\n–0.2\n–0.4\n–0.6\n(I/I In )\no\n–0.8\n–1.0\n–1.2\n–1.4\n–1.6\n–1.8\n–2.0\n–2.2\n–2.4\nFig. 11.1\nμ for this beam of X-rays in the Determine the linear attenuation (absorption) coefficient (i)\ntissue.\ncm–1 μ = ................................................ [2]\nDetermine the thickness of tissue that the X-ray beam must pass through so that the (ii)\nintensity of the beam is reduced to 5.0% of its initial value.\nthickness = ................................................... cm [2]\n[Total: 10]\n© UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-42-q12", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 12, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 6, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_42.pdf?download=true", "source_pages": [ 27, 28 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2021-m-42-q12-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2021-m-42-q12-p02.png" ], "answer": { "status": "available", "id": "9702-2021-m-42-q12", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_42.pdf?download=true", "source_pages": [ 19 ], "marks": 6 }, "text_excerpt": "Radioactive decay is both spontaneous and random. 12 (a)\nState what is meant by:\n1. spontaneous decay ...........................................................................................................\n...........................................................................................................................................\n2. random decay. ...................................................................................................................\n...........................................................................................................................................\n[2]\n90 Sr) is an unstable nuclide. Strontium-90 ( (b)\n38\n–9 kg of strontium-90 is 5.2 MBq. The activity of a sample of 1.0 × 10\nλ of strontium-90. Determine the decay constant (i)\ns–1 λ = ................................................... [3]\nThe activity of the sample after a time of 1.0 half lives is found to be greater than the (ii)\nexpected 2.6 MBq.\nSuggest a possible reason for this.\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 6]\n© UCLES 2021 9702/42/F/M/21\n28\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of\nCambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.\n© UCLES 2021 9702/42/F/M/21" }, { "id": "9702-2021-m-52-q01", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-m-52-q01-p01.png", "9702-practical-skills/assets/9702-2021-m-52-q01-p02.png", "9702-practical-skills/assets/9702-2021-m-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2021-m-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_52.pdf?download=true", "source_pages": [ 5, 6 ], "marks": 15 }, "text_excerpt": "A student investigates the vertical oscillations of a solid cylinder which floats in cooking oil. Fig. 1.1 1\nshows a cylinder of radius r.\nr\ncylinder\nFig. 1.1\nThe student places the cylinder of mass m in the oil. The cylinder is displaced vertically from its\nequilibrium position and released so that it oscillates. The period T of the oscillations is determined.\nA number of cylinders of different mass are available.\nIt is suggested that the relationship between T and m is\nπ m\nT = 2\n2 σ Kr\nσ where is the density of the oil and K is a constant.\nDesign a laboratory experiment to test the relationship between T and m.\nExplain how your results could be used to determine a value for K.\nYou should draw a diagram, on page 3, showing the arrangement of your equipment. In your\naccount you should pay particular attention to:\n• the procedure to be followed\n• the measurements to be taken\n• the control of variables\n• the analysis of the data\n• any safety precautions to be taken.\n© UCLES 2021 9702/52/F/M/21\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..........................." }, { "id": "9702-2021-m-52-q02", "subject": "9702", "year": 2021, "session": "March", "session_code": "m", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8, 9, 10, 11, 12 ], "local_pdf": "_source-pdfs/2021-March/qp/9702_m21_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-m-52-q02-p01.png", "9702-practical-skills/assets/9702-2021-m-52-q02-p02.png", "9702-practical-skills/assets/9702-2021-m-52-q02-p03.png", "9702-practical-skills/assets/9702-2021-m-52-q02-p04.png", "9702-practical-skills/assets/9702-2021-m-52-q02-p05.png", "9702-practical-skills/assets/9702-2021-m-52-q02-p06.png", "9702-practical-skills/assets/9702-2021-m-52-q02-p07.png", "9702-practical-skills/assets/9702-2021-m-52-q02-p08.png" ], "answer": { "status": "available", "id": "9702-2021-m-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-March/ms/9702_m21_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-March/9702_m21_ms_52.pdf?download=true", "source_pages": [ 7, 8, 9 ], "marks": 15 }, "text_excerpt": "A student investigates the collision of two gliders A and B on a linear air-track, as shown in Fig. 2.1. 2\ncard\nlight gate connected to timer\nL\nglider A glider B\nbench\nFig. 2.1\nThe light gate is connected to a timer. A card of length L is attached to glider B. The mass of glider\nB and the card is m. Glider B is initially at rest.\nThe student releases glider A so that it travels at a constant velocity u towards the stationary glider\nB. The gliders collide and then separate.\nThe card on glider B passes through the light gate. The student records the time t for the card to\npass through the light gate from the timer.\nThe student changes the mass of glider B and repeats the experiment.\nIt is suggested that the velocity v of glider B as it passes through the light gate and m are related\nby the equation\n2uA\nv =\nm + A\nwhere A is the mass of glider A.\n1\non the y-axis against m on the x-axis. A graph is plotted of (a)\nv\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2021 9702/52/F/M/21\n6\nValues of m and t are given in Table 2.1. (b)\nTable 2.1\n1 m / g t / s cm−1 / s\nv\n271 0.23 ± 0.01\n369 0.26 ± 0.01\n490 0.31 ± 0.01\n632 0.36 ± 0.01\n741 0.40 ± 0.01\n840 0.44 ± 0.01\n1\ncm−1 Calculate and record values of in Table 2.1 where / s\nv\n1 t\n=\nv L\nand L = 5.0 ± 0.1 cm.\n1\n. [2] Include the absolute uncertainties in\nv\n1\ncm−1 against m / g. / s Plot a graph of (c) (i)\nv\n1\nInclude error bars for . [2]\nv\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Both (ii)\nlines should be clearly labelled. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2021 9702/52/F/M/21\n7\n0.095\n0.090\n1\ncm–1 s /\nv\n0.085\n0.080\n0.075\n0.070\n0.065\n0.060\n0.055\n0.050\n0.045\n0.040\n200 300 400 500 600 700 800 900\nm / g\n[Turn over © UCLES 2021 9702/52/F/M/21\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine values of u and A. Include (d) (i) (c)(iii)\nappropriate units.\nu = ...............................................................\nA = ...............................................................\n[2]\nDetermine the percentage uncertainty in A. (ii)\npercentage uncertainty in A = ..................................................... % [1]\nThe experiment is repeated. Determine the mass m of glider B and the card when t has a (e)\nvalue of 0.50 s.\nm = ...................................................... g [1]\n[Total: 15]\n© UCLES 2021 9702/52/F/M/21\n9\nBLANK PAGE\n© UCLES 2021 9702/52/F/M/21\n10\nBLANK PAGE\n© UCLES 2021 9702/52/F/M/21\n11\nBLANK PAGE\n© UCLES 2021 9702/52/F/M/21\n12" }, { "id": "9702-2021-mj-41-q01", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2021-mj-41-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2021-mj-41-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 8 ], "marks": 10 }, "text_excerpt": "1024 × The Earth may be assumed to be an isolated uniform sphere with its mass of 6.0 kg 1\nconcentrated at its centre.\nA satellite of mass 1200 kg is in a circular orbit about the Earth in the Earth’s gravitational field.\nThe period of the orbit is 94 minutes.\nDefine gravitational field strength. (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nCalculate the radius of the orbit of the satellite. (b)\nradius = ..................................................... m [3]\nRockets on the satellite are fired so that the satellite enters a different circular orbit that has (c)\na period of 150 minutes. The change in the mass of the satellite may be assumed to be\nnegligible.\n6 × m. Show that the radius of the new orbit is 9.4 10 (i)\n[2]\nState, with a reason, whether the gravitational potential energy of the satellite increases (ii)\nor decreases.\n...........................................................................................................................................\n..................................................................................................................................... [1]\n© UCLES 2021 9702/41/M/J/21\n5\nDetermine the magnitude of the change in the gravitational potential energy of the (iii)\nsatellite.\nchange in potential energy = ...................................................... J [3]\n[Total: 10]\n[Turn over © UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-41-q02", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 2, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2021-mj-41-q02-p01.png", "9702-topic-16-thermodynamics/assets/9702-2021-mj-41-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q02", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 9 ], "marks": 10 }, "text_excerpt": "An ideal gas is contained in a cylinder by means of a movable frictionless piston, as illustrated in 2\nFig. 2.1.\ncylinder\nmovement\nof piston\npiston\ngas\nmolecule\nFig. 2.1\n10−3 m3 105 × × at a pressure of 3.3 Pa and a temperature of Initially, the gas has a volume of 1.8\n310 K.\n1023. × Show that the number of gas molecules in the cylinder is 1.4 (a)\n[2]\nUse kinetic theory to explain why, when the piston is moved so that the gas expands, this (b)\ncauses a decrease in the temperature of the gas.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n© UCLES 2021 9702/41/M/J/21\n7\n10−3 m3 105 × × The gas expands so that its volume increases to 2.4 at a pressure of 2.3 Pa (c)\nand a temperature of 288 K, as shown in Fig. 2.2.\n10−3 m3 10−3 m3 × × 1.8 2.4\n105 105 × × 3.3 Pa 2.3 Pa\n310 K 288 K\nFig. 2.2\nof a molecule of an ideal gas is given by The average translational kinetic energy E (i)\nK\n3\n= E kT\nK 2\nwhere k is the Boltzmann constant and T is the thermodynamic temperature.\nΔU Calculate the increase in internal energy of the gas during the expansion.\nΔU = ...................................................... J [3]\nThe work done by the gas during the expansion is 76 J. (ii)\nUse your answer in to explain whether thermal energy is transferred to or from the gas (i)\nduring the expansion.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 10]\n[Turn over © UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-41-q03", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 3, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 8, 9, 10 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2021-mj-41-q03-p01.png", "9702-topic-17-oscillations/assets/9702-2021-mj-41-q03-p02.png", "9702-topic-17-oscillations/assets/9702-2021-mj-41-q03-p03.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q03", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 10 ], "marks": 8 }, "text_excerpt": "State what is meant by simple harmonic motion. 3 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA trolley of mass m is held on a horizontal surface by means of two springs. One spring is (b)\nattached to a fixed point P. The other spring is connected to an oscillator, as shown in Fig. 3.1.\ntrolley oscillator spring spring\nP\nFig. 3.1\nm−1, are always extended. The springs, each having spring constant k of 130 N\nThe oscillator is switched off. The trolley is displaced along the line of the springs and then\nreleased. The resulting oscillations of the trolley are simple harmonic.\nThe acceleration a of the trolley is given by the expression\n⎛ ⎞ 2 k\nx a = −\n⎝ ⎠ m\nwhere x is the displacement of the trolley from its equilibrium position.\nThe mass of the trolley is 840 g.\nCalculate the frequency f of oscillation of the trolley.\nf = .................................................... Hz [3]\n© UCLES 2021 9702/41/M/J/21\n9\nThe oscillator in is switched on. The frequency of oscillation of the oscillator is varied, (c) (b)\nkeeping its amplitude of oscillation constant.\nThe amplitude of oscillation of the trolley is seen to vary. The amplitude is a maximum at the\nfrequency calculated in (b).\nState the name of the effect giving rise to this maximum. (i)\n..................................................................................................................................... [1]\nAt any given frequency, the amplitude of oscillation of the trolley is constant. (ii)\nExplain how this indicates that there are resistive forces opposing the motion of the\ntrolley.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 8]\n[Turn over © UCLES 2021 9702/41/M/J/21\n10\nBLANK PAGE\n© UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-41-q04", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 4, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 5, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 11 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2021-mj-41-q04-p01.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q04", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 10 ], "marks": 5 }, "text_excerpt": "Outline the of ultrasound to obtain diagnostic information about internal body structures. 4 use\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n.................................................................................................................................................... [5]\n[Turn over © UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-41-q05", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 5, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-mj-41-q05-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-mj-41-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q05", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 11 ], "marks": 8 }, "text_excerpt": "State what is meant by the amplitude modulation (AM) of a radio wave. 5 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA radio wave is modulated by an audio signal. (b)\nThe variation with frequency f of the amplitude of the modulated wave is shown in Fig. 5.1.\namplitude\n0\n292 300 308\nf / kHz\nFig. 5.1\nDetermine:\nthe wavelength of the carrier wave (i)\nwavelength = ..................................................... m [1]\nthe bandwidth of the modulated wave (ii)\nbandwidth = .................................................. kHz [1]\nthe maximum frequency of the audio signal. (iii)\nmaximum frequency = .................................................. kHz [1]\n© UCLES 2021 9702/41/M/J/21\n13\nThe power of a radio signal at a transmitter is P . (c)\nT\nis given by the expression At a receiver, the received power P\nR\n0.082 P\nT\nP =\nR x2\nwhere x is the distance, in metres, between the transmitter and the receiver.\nFor the transmission of this signal, the attenuation is 73 dB.\nDetermine the distance x.\nx = ..................................................... m [3]\n[Total: 8]\n[Turn over © UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-41-q06", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 6, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2021-mj-41-q06-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2021-mj-41-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q06", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 12 ], "marks": 8 }, "text_excerpt": "An isolated metal sphere of radius r is charged so that the electric field strength at its surface 6 (a)\n. is E\n0\nOn Fig. 6.1, sketch the variation of the electric field strength E with distance x from the centre\nof the sphere. Your sketch should extend from x = 0 to x = 3r.\nE\n0\nfield\nstrength E\n0\n0 r 2r 3r\ndistance x\nFig. 6.1\n[3]\nλ when its momentum is p . The de Broglie wavelength of a particle is (b)\n0 0\nλ of the On Fig. 6.2, sketch the variation with momentum p of the de Broglie wavelength\np\n0 . to p particle for values of momentum from\n0 2\n2λ\n0\nwavelengthλ\nλ\n0\n0\np 0 p\n0 0\n2\nmomentum p\nFig. 6.2\n[2]\n© UCLES 2021 9702/41/M/J/21\n15\nA radioactive isotope decays with a half-life of 15 s to form a stable product. (c)\nnuclei and no nuclei of the A fresh sample of the radioactive isotope at time t = 0 contains N\n0\nstable product.\nOn Fig. 6.3, sketch the variation with t of the number n of nuclei of the stable product for time\nt = 0 to time t = 45 s.\nN\n0\nnumber n\nN 0.5\n0\n0\n0 15 30 45\n/ s time t\nFig. 6.3\n[3]\n[Total: 8]\n[Turn over © UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-41-q07", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 7, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2021-mj-41-q07-p01.png", "9702-topic-19-capacitance/assets/9702-2021-mj-41-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q07", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 13 ], "marks": 9 }, "text_excerpt": "State what is meant by the capacitance of a parallel plate capacitor. 7 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA capacitor of capacitance C is connected into the circuit shown in Fig. 7.1. (b)\nA B\nsensitive\n+ ammeter\nA V\n–\nC\nFig. 7.1\nWhen the two-way switch is in position A, the capacitor is charged so that the potential\ndifference across it is V.\nThe switch moves to position B and the capacitor fully discharges through the sensitive\nammeter.\nThe switch moves repeatedly between A and B so that the capacitor charges and then\ndischarges with frequency f.\nI Show that the average current in the ammeter is given by the expression (i)\nI = fCV.\n[2]\n© UCLES 2021 9702/41/M/J/21\n17\nFor a potential difference V of 150 V and a frequency f of 60 Hz, the average current in (ii)\nμA. the ammeter is 4.8\nCalculate the capacitance, in pF, of the capacitor.\ncapacitance = .................................................... pF [2]\nA second capacitor, having the same capacitance as the capacitor in (b), is connected into (c)\nthe circuit of Fig. 7.1. The two capacitors are connected in series.\nState and explain the new reading on the ammeter.\nμA new reading = .........................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 9]\n[Turn over © UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-41-q08", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 8, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2021-mj-41-q08-p01.png", "9702-topic-14-temperature/assets/9702-2021-mj-41-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q08", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 14 ], "marks": 9 }, "text_excerpt": "The variation with temperature of the resistance of a thermistor is shown in Fig. 8.1. 8\n4.0\n3.0\nkΩ resistance /\n2.0\n1.0\n0\n20 0 10 30\ntemperature / °C\nFig. 8.1\nA student includes the thermistor and an ideal operational amplifier (op-amp) in the circuit of\nFig. 8.2.\nV +3.0\nkΩ 2.5\n+\n–\n+\n–\nkΩ kΩ 3.0 5.0\nFig. 8.2\n© UCLES 2021 9702/41/M/J/21\n19\n+ Calculate the potential V at the non-inverting input of the op-amp. (a)\n+ V = ...................................................... V [2]\nkΩ. At 10 °C, the resistance of the thermistor is 2.5 (b)\nState and explain whether the light-emitting diode (LED) is emitting light.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nExplain why the student’s circuit will not indicate any change in temperature above 0 °C. (c)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nkΩ The resistor of resistance 5.0 is changed to a resistor of resistance R so that the LED (d)\nswitches on or off at a temperature of 20 °C.\nkΩ. Determine R in\nkΩ R = .................................................... [3]\n[Total: 9]\n[Turn over © UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-41-q09", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 9, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2021-mj-41-q09-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2021-mj-41-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q09", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 15 ], "marks": 9 }, "text_excerpt": "State what is meant by a magnetic field. 9 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA rectangular piece of aluminium foil is situated in a uniform magnetic field of flux density B, (b)\nas shown in Fig. 9.1.\nmagnetic field,\nflux density B\nR Q\nT\naluminium\nmovement foil\nof electrons\nP S\nV W\nFig. 9.1\nThe magnetic field is normal to the face PQRS of the foil.\nElectrons, each of charge −q, enter the foil at right angles to the face PQTV.\nOn Fig. 9.1, shade the face of the foil on which electrons initially accumulate. [1] (i)\nExplain why electrons do not continuously accumulate on the face you have shaded. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n© UCLES 2021 9702/41/M/J/21\n21\nThe Hall voltage V developed across the foil in is given by the expression (c) (b)\nH\nBI\n= V\nH ntq\nI where is the current in the foil.\nState the meaning of the quantity n. (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nUsing the letters on Fig. 9.1, identify the distance t. (ii)\n..................................................................................................................................... [1]\nSuggest why, in practice, Hall probes are usually made using a semiconductor material rather (d)\nthan a metal.\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 9]\n[Turn over © UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-41-q10", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 10, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 22, 23 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2021-mj-41-q10-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2021-mj-41-q10-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q10", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 16 ], "marks": 9 }, "text_excerpt": "State Lenz’s law. 10 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA metal ring is suspended from a fixed point P by means of a thread, as shown in Fig. 10.1. (b)\nP P\nmetal\nmagnet\nring\npole piece\nmetal\nring\nN S\nFig. 10.1 Fig. 10.2\nThe ring is displaced a distance d and then released. The ring completes many oscillations\nbefore coming to rest.\nThe poles of a magnet are now placed near to the ring so that the ring hangs midway between\nthe poles of the magnet, as shown in Fig. 10.2.\nThe ring is again displaced a distance d and then released.\nExplain why the ring completes fewer oscillations before coming to rest.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [4]\n© UCLES 2021 9702/41/M/J/21\n23\nThe ring in is now cut so that it has the shape shown in Fig. 10.3. (c) (b)\nFig. 10.3\nExplain why, when the procedure in is repeated, the cut ring completes more oscillations (b)\nthan the complete ring when oscillating between the poles of the magnet.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 9]\n[Turn over © UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-41-q11", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 11, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 24, 25, 26 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2021-mj-41-q11-p01.png", "9702-topic-24-medical-physics/assets/9702-2021-mj-41-q11-p02.png", "9702-topic-24-medical-physics/assets/9702-2021-mj-41-q11-p03.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q11", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 17 ], "marks": 7 }, "text_excerpt": "State how, in a modern X-ray tube, the intensity of the X-ray beam and its hardness are 11 (a)\ncontrolled.\nintensity: ...................................................................................................................................\n...................................................................................................................................................\nhardness: ..................................................................................................................................\n...................................................................................................................................................\n[2]\nA model of a limb consists of soft tissue and bone, as illustrated in Fig. 11.1. (b)\ncm 3.0\nI I\n0 C\nincident transmitted\nintensity intensity\nI I\n0 S\nbone soft\ntissue\n9.0 cm\nFig. 11.1\nThe soft tissue has a thickness of 9.0 cm. The bone within the soft tissue has a thickness of\n3.0 cm.\nμ of X-rays in soft tissue and in bone Data for the linear attenuation (absorption) coefficient\nare shown in Table 11.1.\nTable 11.1\ncm−1 μ /\nsoft tissue 0.92\nbone 2.90\n© UCLES 2021 9702/41/M/J/21\n25\nI A parallel beam of X-rays of intensity is incident normally on the model.\n0\nI : Calculate, in terms of\n0\nI through soft tissue alone the transmitted intensity (i)\nS\nI I = ..................................................... [2]\nS 0\nI through soft tissue and bone. the transmitted intensity (ii)\nC\nI I = ..................................................... [2]\nC 0\nBy reference to your answers in (b), suggest, with a reason, whether good contrast on an (c)\nX-ray image would be obtained.\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 7]\n[Turn over © UCLES 2021 9702/41/M/J/21\n26\nBLANK PAGE\n© UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-41-q12", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 12, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_41.pdf?download=true", "source_pages": [ 27, 28 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_41.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2021-mj-41-q12-p01.png", "9702-topic-22-quantum-physics/assets/9702-2021-mj-41-q12-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-41-q12", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_41.pdf?download=true", "source_pages": [ 18 ], "marks": 8 }, "text_excerpt": "Electromagnetic radiation of a single constant frequency is incident on a metal surface. This 12 (a)\ncauses an electron to be emitted.\nExplain why the maximum kinetic energy of the electron is independent of the intensity of the\nincident radiation.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\nUltraviolet radiation of wavelength 250 nm is incident on the surface of a sheet of zinc. (b)\nThe maximum kinetic energy of the emitted electrons is 1.4 eV.\nDetermine, in eV:\nthe energy of a photon of the ultraviolet radiation (i)\nenergy = .................................................... eV [3]\nthe work function energy of the surface of the zinc. (ii)\nenergy = .................................................... eV [2]\n[Total: 8]\n© UCLES 2021 9702/41/M/J/21\n28\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of\nCambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.\n© UCLES 2021 9702/41/M/J/21" }, { "id": "9702-2021-mj-42-q01", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 6, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 5 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2021-mj-42-q01-p01.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 6 }, "text_excerpt": "Define gravitational field strength. 1 (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\n6 1023 × × m. Its mass of 6.42 kg may An isolated planet is a uniform sphere of radius 3.39 10 (b)\nbe considered to be a point mass concentrated at its centre. The planet rotates about its axis\nwith a period of 24.6 hours.\nFor an object resting on the surface of the planet at the equator, calculate, to three significant\nfigures:\nthe gravitational field strength (i)\n−1 [2] field strength = .............................................. N kg\nthe centripetal acceleration (ii)\ns−2 [2] acceleration = ................................................ m\nthe force per unit mass exerted on the object by the surface of the planet. (iii)\nkg−1 [1] force per unit mass = .............................................. N\n[Total: 6]\n[Turn over © UCLES 2021 9702/42/M/J/21" }, { "id": "9702-2021-mj-42-q02", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2021-mj-42-q02-p01.png", "9702-topic-16-thermodynamics/assets/9702-2021-mj-42-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q02", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 9 }, "text_excerpt": "10−3 m3 105 × × An ideal gas has a volume of 3.1 at a pressure of 8.5 Pa and a temperature of 2\n290 K, as shown in Fig. 2.1.\n10−3 m3 10−3 m3 × × volume 3.1 volume 6.3\n105 105 × × pressure 8.5 Pa pressure 2.7 Pa\ntemperature 290 K temperature T\nF\nFig. 2.1\n10−3 m3. × During the expansion, no thermal energy The gas suddenly expands to a volume of 6.3\n105 × Pa at temperature T , as shown in Fig. 2.1. is transferred. The final pressure of the gas is 2.7\nF\n1023. × Show that the number of gas molecules is 6.6 (a)\n[3]\nof the gas is 190 K. Show that the final temperature T (b) (i)\nF\n[1]\n© UCLES 2021 9702/42/M/J/21\n7\nThe average translational kinetic energy E of a molecule of an ideal gas is given by (ii)\nK\n3\n= E kT\nK 2\nwhere T is the thermodynamic temperature and k is the Boltzmann constant.\nΔU Calculate the increase in internal energy of the gas.\nΔU = ...................................................... J [3]\nUse the first law of thermodynamics to explain why the external work w done on the gas (c)\nduring the expansion is equal to the increase in internal energy in (b)(ii).\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 9]\n[Turn over © UCLES 2021 9702/42/M/J/21" }, { "id": "9702-2021-mj-42-q03", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2021-mj-42-q03-p01.png", "9702-topic-17-oscillations/assets/9702-2021-mj-42-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q03", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 10 ], "marks": 9 }, "text_excerpt": "A U-shaped tube contains some liquid. The liquid column in each half of the tube has length L, as 3\nshown in Fig. 3.1.\nx\nx\nL L\nFig. 3.1 Fig. 3.2\nThe liquid columns are displaced vertically. The liquid then oscillates in the tube. The liquid levels\nare displaced from the equilibrium positions as shown in Fig. 3.2.\nThe acceleration a of the liquid in the tube is related to the displacement x by the expression\n⎛ ⎞ g\nx a = −\n⎝ ⎠ L\nwhere g is the acceleration of free fall.\nExplain how the expression shows that the liquid in the tube is undergoing simple harmonic (a)\nmotion.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\nThe length L of each liquid column is 18 cm. (b)\nDetermine the period T of the oscillations.\nT = ...................................................... s [3]\n© UCLES 2021 9702/42/M/J/21\n9\nThe oscillations of the liquid in the tube are damped. (c)\nIn any one complete cycle of the oscillations, the amplitude decreases by 6.0% of its value at\nthe beginning of the oscillation.\nDetermine the ratio\nenergy of oscillations after 3 cycles\n.\ninitial energy of oscillations\nratio = ......................................................... [3]\n[Total: 9]\n[Turn over © UCLES 2021 9702/42/M/J/21" }, { "id": "9702-2021-mj-42-q04", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-mj-42-q04-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-mj-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q04", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 11 ], "marks": 8 }, "text_excerpt": "A sinusoidal carrier wave has a constant amplitude and a frequency of 1.2 MHz. The carrier 4 (a)\nwave is modulated by a signal wave such that a 1.0 V displacement of the signal wave causes\na change in frequency of 25 kHz.\nThe signal wave has frequency 8.0 kHz and amplitude 2.0 V.\nState the name of this type of modulation of the carrier wave. (i)\n..................................................................................................................................... [1]\nFor this modulated carrier wave, determine the variation, if any, in: (ii)\nits amplitude 1.\n...........................................................................................................................................\n...........................................................................................................................................\nits frequency. 2.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n[3]\n© UCLES 2021 9702/42/M/J/21\n11\nAn audio signal is transmitted by means of a modulated radio wave. (b)\nThe variation with frequency of the amplitude of the radio wave is shown in Fig. 4.1.\namplitude\n0\n225 240 255\nfrequency / kHz\nFig. 4.1\nFor this transmission, determine:\nthe wavelength, in km, of the carrier wave (i)\nwavelength = ................................................... km [2]\nthe bandwidth (ii)\nbandwidth = .................................................. kHz [1]\nthe frequency of the audio signal. (iii)\nfrequency = .................................................. kHz [1]\n[Total: 8]\n[Turn over © UCLES 2021 9702/42/M/J/21" }, { "id": "9702-2021-mj-42-q05", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2021-mj-42-q05-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2021-mj-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q05", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 12 ], "marks": 9 }, "text_excerpt": "An isolated metal sphere of radius r is charged so that the electric potential at its surface is 5 (a)\n. V\n0\nOn Fig. 5.1, sketch the variation with distance x from the centre of the sphere of the electric\npotential. Your graph should extend from x = 0 to x = 3r.\n1.0 V\n0\nelectric\npotential\n0.5 V\n0\n0\n0 r 2r 3r\nx\nFig. 5.1\n[3]\nλ are incident on a metal surface. Photons having wavelength (b)\nλ . The maximum wavelength for which there is emission of electrons is\n0\nλ\n0 For photons of wavelength , the maximum kinetic energy of the emitted electrons is E .\nMAX 2\nλ of the maximum kinetic energy for values On Fig. 5.2, sketch the variation with wavelength\nλ\n0\nλ λ λ of wavelength between = = . and\n0 3\nE 3\nMAX\nenergy\n2 E\nMAX\nE\nMAX\n0\n0 λ λ λ\n0 0 0\nλ 2 3\nFig. 5.2\n[3]\n© UCLES 2021 9702/42/M/J/21\n13\nA pure sample of a radioactive isotope contains N nuclei. The half-life of the isotope is T . (c) 1\n0 2\nThe product of the radioactive decay is stable.\nThe variation with time t of the number N of nuclei of the radioactive isotope is shown in\nFig. 5.3.\nN\n0\nnumber\nN\n0\n2\nN\n0\n0 T\ntime t\nFig. 5.3\nOn Fig. 5.3:\nand the time t = 2.0T ● label, on the time axis, the time t = 1.0T 1 1\n2 2\n● sketch the variation with time t of the number of nuclei of the decay product for time t = 0\nto time t = T.\n[3]\n[Total: 9]\n[Turn over © UCLES 2021 9702/42/M/J/21" }, { "id": "9702-2021-mj-42-q06", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2021-mj-42-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2021-mj-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 13 ], "marks": 8 }, "text_excerpt": "Two flat metal plates are held a small distance apart by means of insulating pads, as shown 6 (a)\nin Fig. 6.1.\nmetal plate\ninsulating\npad\nmetal plate\nFig. 6.1\nExplain how the plates could act as a capacitor.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nThe arrangement in Fig. 6.1 has capacitance C. (b)\nThe arrangement is connected into the circuit of Fig. 6.2.\nA B\nsensitive\nammeter\nV A\nC\nFig. 6.2\nWhen the two-way switch is moved to position A, the capacitor is charged so that the potential\ndifference across it is V. When the switch moves to position B, the capacitor fully discharges\nthrough the sensitive ammeter.\nThe switch moves repeatedly between A and B so that the capacitor charges and then\ndischarges with frequency f.\n© UCLES 2021 9702/42/M/J/21\n15\nI Show that the average current in the ammeter is given by (i)\nI = CVf.\n[2]\nFor a potential difference V of 180 V and a frequency f of switching of 50 Hz, the average (ii)\nμA. I current in the ammeter is 2.5\nCalculate the capacitance, in pF, of the parallel plates.\ncapacitance = .................................................... pF [2]\nA second capacitor is connected into the circuit of Fig. 6.2. (c)\nThe two capacitors are connected in parallel.\nState and explain the change, if any, in the average current in the ammeter.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 8]\n[Turn over © UCLES 2021 9702/42/M/J/21" }, { "id": "9702-2021-mj-42-q07", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2021-mj-42-q07-p01.png", "9702-topic-14-temperature/assets/9702-2021-mj-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q07", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 14 ], "marks": 9 }, "text_excerpt": "Two properties of an ideal operational amplifier (op-amp) are infinite input impedance and 7 (a)\ninfinite bandwidth.\nState what is meant by:\ninfinite input impedance (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\ninfinite bandwidth. (ii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nA student uses a negative temperature coefficient thermistor in the circuit of Fig. 7.1 to (b)\nindicate changes in temperature.\nkΩ 100\nΩ 1100\n+5.0 V\nkΩ 96\nX 1.5 V\n–\n+\nΩ 400 –5.0 V\nV\nFig. 7.1\nShow that the potential at point X is 0.40 V. (i)\n[1]\n© UCLES 2021 9702/42/M/J/21\n17\nkΩ The thermistor has a resistance of 360 at a particular temperature. (ii)\nFor this temperature of the thermistor, calculate the magnitude of the reading on the\nvoltmeter.\nvoltmeter reading = ...................................................... V [3]\nThe temperature of the thermistor increases. (iii)\nState and explain the effect of this change on the magnitude of the reading on the\nvoltmeter.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nExplain why the amplifier circuit will no longer indicate temperature changes when the (iv)\nmagnitude of the gain of the circuit is greater than 12.5.\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 9]\n[Turn over © UCLES 2021 9702/42/M/J/21" }, { "id": "9702-2021-mj-42-q08", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2021-mj-42-q08-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2021-mj-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q08", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 15 ], "marks": 10 }, "text_excerpt": "Define magnetic flux density. 8 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nElectrons, each of mass m and charge q, are accelerated from rest in a vacuum through a (b)\npotential difference V.\nDerive an expression, in terms of m, q and V, for the final speed v of the electrons. Explain\nyour working.\n[2]\nThe accelerated electrons in are injected at point S into a region of uniform magnetic field (c) (b)\nof flux density B, as illustrated in Fig. 8.1.\nregion of uniform\nmagnetic field,\nflux density B\nS\npath of electrons,\nradius r\nFig. 8.1\nThe electrons move at right angles to the direction of the magnetic field. The path of the\nelectrons is a circle of radius r.\n© UCLES 2021 9702/42/M/J/21\n19\nq\nof the electrons is given by the expression Show that the specific charge (i)\nm\nq 2V\n= .\n2 2 m r B\nExplain your working.\n[2]\nElectrons are accelerated through a potential difference V of 230 V. The electrons are (ii)\ninjected normally into the magnetic field of flux density 0.38 mT.\nThe radius r of the circular orbit of the electrons is 14 cm.\nUse this information to calculate a value for the specific charge of an electron.\n−1 [2] specific charge = .............................................. C kg\nSuggest why the arrangement outlined in (ii), using the same values of B and V, is not (iii)\nα-particles. practical for the determination of the specific charge of\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 10]\n[Turn over © UCLES 2021 9702/42/M/J/21" }, { "id": "9702-2021-mj-42-q09", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2021-mj-42-q09-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2021-mj-42-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q09", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 16 ], "marks": 9 }, "text_excerpt": "State situations in which a charged particle in a magnetic field does experience a 9 (a) two not\nforce.\n1. ...............................................................................................................................................\n...................................................................................................................................................\n2. ...............................................................................................................................................\n...................................................................................................................................................\n[2]\nA loosely coiled metal spring is suspended from a fixed point, as shown in Fig. 9.1. (b)\nfixed\npoint\nspring\nsmall\nmass\nflexible\nlead\nFig. 9.1\nElectrical connections are made to the ends of the spring by means of a flexible lead.\nThe length of the spring is measured before the switch is closed and then again after the\nswitch is closed.\n© UCLES 2021 9702/42/M/J/21\n21\nWhen the switch is closed, a magnetic field is set up around each coil of the spring.\nBy reference to these magnetic fields, explain why there is a change in length of the spring.\nState whether the spring extends or contracts.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [4]\nWith the switch in closed, the small mass on the free end of the spring is now made to (c) (b)\noscillate vertically.\nUse the principles of electromagnetic induction to explain why small fluctuations in the current\nin the spring are found to occur.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n................................................................................................................................." }, { "id": "9702-2021-mj-42-q10", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-mj-42-q10-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-mj-42-q10-p02.png", "9702-topic-21-alternating-currents/assets/9702-2021-mj-42-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q10", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 17 ], "marks": 8 }, "text_excerpt": "By reference to heating effect, explain what is meant by the root-mean-square (r.m.s.) value 10 (a)\nof an alternating current.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nI I and are shown in Fig. 10.1 and Fig. 10.2. The variations with time t of two currents (b)\n1 2\n3\nI / A\n1\n2\n1\n0\n0 t\n–1\n–2\n–3\nFig. 10.1\n3\nI / A\n2\n2\n1\n0\n0 t\n–1\n–2\n–3\nFig. 10.2\n© UCLES 2021 9702/42/M/J/21\n23\nI Use Fig. 10.1 to determine the peak value and the r.m.s. value of the current . (i)\n1\npeak value = ............................................................ A\nr.m.s. value = ............................................................ A\n[1]\nI Use Fig. 10.2 to determine the peak value and the r.m.s. value of the current . (ii)\n2\npeak value = ............................................................ A\nr.m.s. value = ............................................................ A\n[1]\nThe variation with time t of the supply voltage V to a house is given by the expression (c)\nV = 240 sin kt\ns−1. where V is in volts, t is in seconds and k is a constant with unit rad\nThe frequency of the supply voltage is 50 Hz. (i)\nDetermine k to two significant figures.\ns−1 k = ............................................. rad [2]\nThe supply voltage is applied to a heater. The mean power of the heater is 3.2 kW. (ii)\nCalculate the resistance of the heater.\nΩ resistance = ..................................................... [2]\n[Total: 8]\n[Turn over © UCLES 2021 9702/42/M/J/21\n24\nBLANK PAGE\n© UCLES 2021 9702/42/M/J/21" }, { "id": "9702-2021-mj-42-q11", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 11, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 6, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 25 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2021-mj-42-q11-p01.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q11", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 18 ], "marks": 6 }, "text_excerpt": "State the purpose of computed tomography (CT scanning). 11 (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nOutline the principles of CT scanning. (b)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [5]\n[Total: 6]\n[Turn over © UCLES 2021 9702/42/M/J/21" }, { "id": "9702-2021-mj-42-q12", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 12, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_42.pdf?download=true", "source_pages": [ 26, 27, 28 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2021-mj-42-q12-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2021-mj-42-q12-p02.png", "9702-topic-23-nuclear-physics/assets/9702-2021-mj-42-q12-p03.png" ], "answer": { "status": "available", "id": "9702-2021-mj-42-q12", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_42.pdf?download=true", "source_pages": [ 18, 19 ], "marks": 9 }, "text_excerpt": "State what is meant by a photon. 12 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n157 (γ-ray) Sm) emits a gamma-ray photon of energy A stationary nucleus of samarium-157 ( (b)\n62\n0.57 MeV.\nγ-ray Determine, for one photon:\nits wavelength (i)\nwavelength = ..................................................... m [2]\nits momentum. (ii)\nmomentum = ................................................... N s [2]\n© UCLES 2021 9702/42/M/J/21\n27\nUsing your answer to (b)(ii), determine the speed of the samarium-157 nucleus after (c) (i)\nemission of the photon.\ns−1 [2] speed = ................................................ m\nBy reference to your answer in (c)(i), explain quantitatively why the speed of the (ii)\nsamarium-157 nucleus may be assumed to be negligible compared with the speed of the\nphoton.\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 9]\n© UCLES 2021 9702/42/M/J/21\n28\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of\nCambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.\n© UCLES 2021 9702/42/M/J/21" }, { "id": "9702-2021-mj-43-q01", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2021-mj-43-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2021-mj-43-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 8 ], "marks": 10 }, "text_excerpt": "1024 × The Earth may be assumed to be an isolated uniform sphere with its mass of 6.0 kg 1\nconcentrated at its centre.\nA satellite of mass 1200 kg is in a circular orbit about the Earth in the Earth’s gravitational field.\nThe period of the orbit is 94 minutes.\nDefine gravitational field strength. (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nCalculate the radius of the orbit of the satellite. (b)\nradius = ..................................................... m [3]\nRockets on the satellite are fired so that the satellite enters a different circular orbit that has (c)\na period of 150 minutes. The change in the mass of the satellite may be assumed to be\nnegligible.\n6 × m. Show that the radius of the new orbit is 9.4 10 (i)\n[2]\nState, with a reason, whether the gravitational potential energy of the satellite increases (ii)\nor decreases.\n...........................................................................................................................................\n..................................................................................................................................... [1]\n© UCLES 2021 9702/43/M/J/21\n5\nDetermine the magnitude of the change in the gravitational potential energy of the (iii)\nsatellite.\nchange in potential energy = ...................................................... J [3]\n[Total: 10]\n[Turn over © UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-43-q02", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 2, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2021-mj-43-q02-p01.png", "9702-topic-16-thermodynamics/assets/9702-2021-mj-43-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q02", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 9 ], "marks": 10 }, "text_excerpt": "An ideal gas is contained in a cylinder by means of a movable frictionless piston, as illustrated in 2\nFig. 2.1.\ncylinder\nmovement\nof piston\npiston\ngas\nmolecule\nFig. 2.1\n10−3 m3 105 × × at a pressure of 3.3 Pa and a temperature of Initially, the gas has a volume of 1.8\n310 K.\n1023. × Show that the number of gas molecules in the cylinder is 1.4 (a)\n[2]\nUse kinetic theory to explain why, when the piston is moved so that the gas expands, this (b)\ncauses a decrease in the temperature of the gas.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n© UCLES 2021 9702/43/M/J/21\n7\n10−3 m3 105 × × The gas expands so that its volume increases to 2.4 at a pressure of 2.3 Pa (c)\nand a temperature of 288 K, as shown in Fig. 2.2.\n10−3 m3 10−3 m3 × × 1.8 2.4\n105 105 × × 3.3 Pa 2.3 Pa\n310 K 288 K\nFig. 2.2\nof a molecule of an ideal gas is given by The average translational kinetic energy E (i)\nK\n3\n= E kT\nK 2\nwhere k is the Boltzmann constant and T is the thermodynamic temperature.\nΔU Calculate the increase in internal energy of the gas during the expansion.\nΔU = ...................................................... J [3]\nThe work done by the gas during the expansion is 76 J. (ii)\nUse your answer in to explain whether thermal energy is transferred to or from the gas (i)\nduring the expansion.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 10]\n[Turn over © UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-43-q03", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 3, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 8, 9, 10 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2021-mj-43-q03-p01.png", "9702-topic-17-oscillations/assets/9702-2021-mj-43-q03-p02.png", "9702-topic-17-oscillations/assets/9702-2021-mj-43-q03-p03.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q03", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 10 ], "marks": 8 }, "text_excerpt": "State what is meant by simple harmonic motion. 3 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA trolley of mass m is held on a horizontal surface by means of two springs. One spring is (b)\nattached to a fixed point P. The other spring is connected to an oscillator, as shown in Fig. 3.1.\ntrolley oscillator spring spring\nP\nFig. 3.1\nm−1, are always extended. The springs, each having spring constant k of 130 N\nThe oscillator is switched off. The trolley is displaced along the line of the springs and then\nreleased. The resulting oscillations of the trolley are simple harmonic.\nThe acceleration a of the trolley is given by the expression\n⎛ ⎞ 2 k\nx a = −\n⎝ ⎠ m\nwhere x is the displacement of the trolley from its equilibrium position.\nThe mass of the trolley is 840 g.\nCalculate the frequency f of oscillation of the trolley.\nf = .................................................... Hz [3]\n© UCLES 2021 9702/43/M/J/21\n9\nThe oscillator in is switched on. The frequency of oscillation of the oscillator is varied, (c) (b)\nkeeping its amplitude of oscillation constant.\nThe amplitude of oscillation of the trolley is seen to vary. The amplitude is a maximum at the\nfrequency calculated in (b).\nState the name of the effect giving rise to this maximum. (i)\n..................................................................................................................................... [1]\nAt any given frequency, the amplitude of oscillation of the trolley is constant. (ii)\nExplain how this indicates that there are resistive forces opposing the motion of the\ntrolley.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 8]\n[Turn over © UCLES 2021 9702/43/M/J/21\n10\nBLANK PAGE\n© UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-43-q04", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 4, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 5, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 11 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2021-mj-43-q04-p01.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q04", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 10 ], "marks": 5 }, "text_excerpt": "Outline the of ultrasound to obtain diagnostic information about internal body structures. 4 use\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n.................................................................................................................................................... [5]\n[Turn over © UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-43-q05", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 5, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-mj-43-q05-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-mj-43-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q05", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 11 ], "marks": 8 }, "text_excerpt": "State what is meant by the amplitude modulation (AM) of a radio wave. 5 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA radio wave is modulated by an audio signal. (b)\nThe variation with frequency f of the amplitude of the modulated wave is shown in Fig. 5.1.\namplitude\n0\n292 300 308\nf / kHz\nFig. 5.1\nDetermine:\nthe wavelength of the carrier wave (i)\nwavelength = ..................................................... m [1]\nthe bandwidth of the modulated wave (ii)\nbandwidth = .................................................. kHz [1]\nthe maximum frequency of the audio signal. (iii)\nmaximum frequency = .................................................. kHz [1]\n© UCLES 2021 9702/43/M/J/21\n13\nThe power of a radio signal at a transmitter is P . (c)\nT\nis given by the expression At a receiver, the received power P\nR\n0.082 P\nT\nP =\nR x2\nwhere x is the distance, in metres, between the transmitter and the receiver.\nFor the transmission of this signal, the attenuation is 73 dB.\nDetermine the distance x.\nx = ..................................................... m [3]\n[Total: 8]\n[Turn over © UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-43-q06", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 6, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2021-mj-43-q06-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2021-mj-43-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q06", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 12 ], "marks": 8 }, "text_excerpt": "An isolated metal sphere of radius r is charged so that the electric field strength at its surface 6 (a)\n. is E\n0\nOn Fig. 6.1, sketch the variation of the electric field strength E with distance x from the centre\nof the sphere. Your sketch should extend from x = 0 to x = 3r.\nE\n0\nfield\nstrength E\n0\n0 r 2r 3r\ndistance x\nFig. 6.1\n[3]\nλ when its momentum is p . The de Broglie wavelength of a particle is (b)\n0 0\nλ of the On Fig. 6.2, sketch the variation with momentum p of the de Broglie wavelength\np\n0 . to p particle for values of momentum from\n0 2\n2λ\n0\nwavelengthλ\nλ\n0\n0\np 0 p\n0 0\n2\nmomentum p\nFig. 6.2\n[2]\n© UCLES 2021 9702/43/M/J/21\n15\nA radioactive isotope decays with a half-life of 15 s to form a stable product. (c)\nnuclei and no nuclei of the A fresh sample of the radioactive isotope at time t = 0 contains N\n0\nstable product.\nOn Fig. 6.3, sketch the variation with t of the number n of nuclei of the stable product for time\nt = 0 to time t = 45 s.\nN\n0\nnumber n\nN 0.5\n0\n0\n0 15 30 45\n/ s time t\nFig. 6.3\n[3]\n[Total: 8]\n[Turn over © UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-43-q07", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 7, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2021-mj-43-q07-p01.png", "9702-topic-19-capacitance/assets/9702-2021-mj-43-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q07", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 13 ], "marks": 9 }, "text_excerpt": "State what is meant by the capacitance of a parallel plate capacitor. 7 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA capacitor of capacitance C is connected into the circuit shown in Fig. 7.1. (b)\nA B\nsensitive\n+ ammeter\nA V\n–\nC\nFig. 7.1\nWhen the two-way switch is in position A, the capacitor is charged so that the potential\ndifference across it is V.\nThe switch moves to position B and the capacitor fully discharges through the sensitive\nammeter.\nThe switch moves repeatedly between A and B so that the capacitor charges and then\ndischarges with frequency f.\nI Show that the average current in the ammeter is given by the expression (i)\nI = fCV.\n[2]\n© UCLES 2021 9702/43/M/J/21\n17\nFor a potential difference V of 150 V and a frequency f of 60 Hz, the average current in (ii)\nμA. the ammeter is 4.8\nCalculate the capacitance, in pF, of the capacitor.\ncapacitance = .................................................... pF [2]\nA second capacitor, having the same capacitance as the capacitor in (b), is connected into (c)\nthe circuit of Fig. 7.1. The two capacitors are connected in series.\nState and explain the new reading on the ammeter.\nμA new reading = .........................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 9]\n[Turn over © UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-43-q08", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 8, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2021-mj-43-q08-p01.png", "9702-topic-14-temperature/assets/9702-2021-mj-43-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q08", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 14 ], "marks": 9 }, "text_excerpt": "The variation with temperature of the resistance of a thermistor is shown in Fig. 8.1. 8\n4.0\n3.0\nkΩ resistance /\n2.0\n1.0\n0\n20 0 10 30\ntemperature / °C\nFig. 8.1\nA student includes the thermistor and an ideal operational amplifier (op-amp) in the circuit of\nFig. 8.2.\nV +3.0\nkΩ 2.5\n+\n–\n+\n–\nkΩ kΩ 3.0 5.0\nFig. 8.2\n© UCLES 2021 9702/43/M/J/21\n19\n+ Calculate the potential V at the non-inverting input of the op-amp. (a)\n+ V = ...................................................... V [2]\nkΩ. At 10 °C, the resistance of the thermistor is 2.5 (b)\nState and explain whether the light-emitting diode (LED) is emitting light.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nExplain why the student’s circuit will not indicate any change in temperature above 0 °C. (c)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nkΩ The resistor of resistance 5.0 is changed to a resistor of resistance R so that the LED (d)\nswitches on or off at a temperature of 20 °C.\nkΩ. Determine R in\nkΩ R = .................................................... [3]\n[Total: 9]\n[Turn over © UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-43-q09", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 9, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2021-mj-43-q09-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2021-mj-43-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q09", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 15 ], "marks": 9 }, "text_excerpt": "State what is meant by a magnetic field. 9 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA rectangular piece of aluminium foil is situated in a uniform magnetic field of flux density B, (b)\nas shown in Fig. 9.1.\nmagnetic field,\nflux density B\nR Q\nT\naluminium\nmovement foil\nof electrons\nP S\nV W\nFig. 9.1\nThe magnetic field is normal to the face PQRS of the foil.\nElectrons, each of charge −q, enter the foil at right angles to the face PQTV.\nOn Fig. 9.1, shade the face of the foil on which electrons initially accumulate. [1] (i)\nExplain why electrons do not continuously accumulate on the face you have shaded. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n© UCLES 2021 9702/43/M/J/21\n21\nThe Hall voltage V developed across the foil in is given by the expression (c) (b)\nH\nBI\n= V\nH ntq\nI where is the current in the foil.\nState the meaning of the quantity n. (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nUsing the letters on Fig. 9.1, identify the distance t. (ii)\n..................................................................................................................................... [1]\nSuggest why, in practice, Hall probes are usually made using a semiconductor material rather (d)\nthan a metal.\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 9]\n[Turn over © UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-43-q10", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 10, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 22, 23 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2021-mj-43-q10-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2021-mj-43-q10-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q10", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 16 ], "marks": 9 }, "text_excerpt": "State Lenz’s law. 10 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA metal ring is suspended from a fixed point P by means of a thread, as shown in Fig. 10.1. (b)\nP P\nmetal\nmagnet\nring\npole piece\nmetal\nring\nN S\nFig. 10.1 Fig. 10.2\nThe ring is displaced a distance d and then released. The ring completes many oscillations\nbefore coming to rest.\nThe poles of a magnet are now placed near to the ring so that the ring hangs midway between\nthe poles of the magnet, as shown in Fig. 10.2.\nThe ring is again displaced a distance d and then released.\nExplain why the ring completes fewer oscillations before coming to rest.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [4]\n© UCLES 2021 9702/43/M/J/21\n23\nThe ring in is now cut so that it has the shape shown in Fig. 10.3. (c) (b)\nFig. 10.3\nExplain why, when the procedure in is repeated, the cut ring completes more oscillations (b)\nthan the complete ring when oscillating between the poles of the magnet.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 9]\n[Turn over © UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-43-q11", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 11, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 24, 25, 26 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2021-mj-43-q11-p01.png", "9702-topic-24-medical-physics/assets/9702-2021-mj-43-q11-p02.png", "9702-topic-24-medical-physics/assets/9702-2021-mj-43-q11-p03.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q11", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 17 ], "marks": 7 }, "text_excerpt": "State how, in a modern X-ray tube, the intensity of the X-ray beam and its hardness are 11 (a)\ncontrolled.\nintensity: ...................................................................................................................................\n...................................................................................................................................................\nhardness: ..................................................................................................................................\n...................................................................................................................................................\n[2]\nA model of a limb consists of soft tissue and bone, as illustrated in Fig. 11.1. (b)\ncm 3.0\nI I\n0 C\nincident transmitted\nintensity intensity\nI I\n0 S\nbone soft\ntissue\n9.0 cm\nFig. 11.1\nThe soft tissue has a thickness of 9.0 cm. The bone within the soft tissue has a thickness of\n3.0 cm.\nμ of X-rays in soft tissue and in bone Data for the linear attenuation (absorption) coefficient\nare shown in Table 11.1.\nTable 11.1\ncm−1 μ /\nsoft tissue 0.92\nbone 2.90\n© UCLES 2021 9702/43/M/J/21\n25\nI A parallel beam of X-rays of intensity is incident normally on the model.\n0\nI : Calculate, in terms of\n0\nI through soft tissue alone the transmitted intensity (i)\nS\nI I = ..................................................... [2]\nS 0\nI through soft tissue and bone. the transmitted intensity (ii)\nC\nI I = ..................................................... [2]\nC 0\nBy reference to your answers in (b), suggest, with a reason, whether good contrast on an (c)\nX-ray image would be obtained.\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 7]\n[Turn over © UCLES 2021 9702/43/M/J/21\n26\nBLANK PAGE\n© UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-43-q12", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 12, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_43.pdf?download=true", "source_pages": [ 27, 28 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_43.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2021-mj-43-q12-p01.png", "9702-topic-22-quantum-physics/assets/9702-2021-mj-43-q12-p02.png" ], "answer": { "status": "available", "id": "9702-2021-mj-43-q12", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_43.pdf?download=true", "source_pages": [ 18 ], "marks": 8 }, "text_excerpt": "Electromagnetic radiation of a single constant frequency is incident on a metal surface. This 12 (a)\ncauses an electron to be emitted.\nExplain why the maximum kinetic energy of the electron is independent of the intensity of the\nincident radiation.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\nUltraviolet radiation of wavelength 250 nm is incident on the surface of a sheet of zinc. (b)\nThe maximum kinetic energy of the emitted electrons is 1.4 eV.\nDetermine, in eV:\nthe energy of a photon of the ultraviolet radiation (i)\nenergy = .................................................... eV [3]\nthe work function energy of the surface of the zinc. (ii)\nenergy = .................................................... eV [2]\n[Total: 8]\n© UCLES 2021 9702/43/M/J/21\n28\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of\nCambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.\n© UCLES 2021 9702/43/M/J/21" }, { "id": "9702-2021-mj-51-q01", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "51", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_51.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-mj-51-q01-p01.png", "9702-practical-skills/assets/9702-2021-mj-51-q01-p02.png", "9702-practical-skills/assets/9702-2021-mj-51-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2021-mj-51-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_51.pdf?download=true", "source_pages": [ 6, 7 ], "marks": 15 }, "text_excerpt": "A student investigates the current in a coil and a resistor connected in series, as shown in Fig. 1.1. 1\ncoil\nR\nFig. 1.1\nThe student connects a high-voltage d.c. power supply and a switch across the series combination.\nWhen the switch is closed, it takes time t for the current in the resistor of resistance R to reach a\nmaximum value. The time t is a few milliseconds.\nThere are a number of different unmarked resistors available.\nIt is suggested that the relationship between t and R is\n2 KN A\nt =\nLR\nwhere N is the number of turns of wire on the coil, A is the cross-sectional area of the coil, L is the\nlength of the coil and K is a constant.\nDesign a laboratory experiment to test the relationship between t and R.\nExplain how your results could be used to determine a value for K.\nYou should draw a diagram, on page 3, showing the arrangement of your equipment. In your\naccount you should pay particular attention to:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2021 9702/51/M/J/21\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..........................................................................................." }, { "id": "9702-2021-mj-51-q02", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "51", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_51.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-mj-51-q02-p01.png", "9702-practical-skills/assets/9702-2021-mj-51-q02-p02.png", "9702-practical-skills/assets/9702-2021-mj-51-q02-p03.png", "9702-practical-skills/assets/9702-2021-mj-51-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2021-mj-51-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_51.pdf?download=true", "source_pages": [ 8, 9, 10 ], "marks": 15 }, "text_excerpt": "A student investigates the collision of two gliders A and B on a linear air-track. A card is attached to 2\nglider B, as shown in Fig. 2.1.\ncard\nlight gate connected to data logger\nglider B\nglider A\nair-track\nbench\nFig. 2.1\nGlider B has a mass M. A mass m is added to glider B.\nGlider A travels at a constant velocity u towards the stationary glider B. The gliders then collide\nand move together towards the light gate.\nThe card passes through the light gate which is connected to a data logger. The student records\nthe velocity v of the two gliders from the data logger.\nThe student changes the mass m and repeats the experiment.\nIt is suggested that v and m are related by the equation\nAu = (M + m + A)v\nwhere A is the mass of glider A.\n1\non the y-axis against (M + m) on the x-axis. A graph is plotted of (a)\nv\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2021 9702/51/M/J/21\n6\nValues of m and v are given in Table 2.1. (b)\nThe value of M is 330 g ± 5%.\nEach value of m has a percentage uncertainty of ± 5%.\nTable 2.1\n1 s–1 cm–1 m / g (M + m) / g v / cm / s\nv\n50 4.42\n150 3.92\n250 3.40\n350 3.02\n500 2.58\n600 2.33\n1\ncm–1 Calculate and record values of (M + m) / g and in Table 2.1. / s\nv\nInclude the absolute uncertainties in (M + m). [2]\n1\ncm–1 against (M + m) / g. / s Plot a graph of (c) (i)\nv\nInclude error bars for (M + m). [2]\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Both (ii)\nlines should be clearly labelled. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2021 9702/51/M/J/21\n7\n0.44\n0.42\n1\n–1 /scm\nv\n0.40\n0.38\n0.36\n0.34\n0.32\n0.30\n0.28\n0.26\n0.24\n0.22\n300 400 500 600 700 800 900 1000\n(M + m) / g\n[Turn over © UCLES 2021 9702/51/M/J/21\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of u and A. (d) (i) (c)(iii)\nInclude appropriate units.\nu = ...............................................................\nA = ...............................................................\n[2]\nDetermine the percentage uncertainty in A. (ii)\npercentage uncertainty in A = ..................................................... % [1]\nThe experiment is repeated. Determine the value of m that would give a velocity v of (e)\n–1. 2.0 cm s\nm = ...................................................... g [1]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This i" }, { "id": "9702-2021-mj-52-q01", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-mj-52-q01-p01.png", "9702-practical-skills/assets/9702-2021-mj-52-q01-p02.png", "9702-practical-skills/assets/9702-2021-mj-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2021-mj-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_52.pdf?download=true", "source_pages": [ 6, 7 ], "marks": 15 }, "text_excerpt": "A student investigates the heating of a solid metal cylinder. Fig. 1.1 shows the cylinder of 1\ncross‑sectional area A and height h.\nA\nh\ncylinder\nFig. 1.1\nThe student places the cylinder and an electrical heater in a beaker of water. The electrical heater\nis switched on and the student measures the time t for the temperature of the water to increase\nΔθ. by\nA number of cylinders of the same material but with different cross‑sectional areas are available.\nIt is suggested that the relationship between t and A is\nAhWΔθ ZΔθ + Pt =\nwhere P is the power of the heater and W and Z are constants.\nDesign a laboratory experiment to test the relationship between t and A.\nExplain how your results could be used to determine values for W and Z.\nYou should draw a diagram, on page 3, showing the arrangement of your equipment.\nIn your account you should pay particular attention to:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2021 9702/52/M/J/21\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n............................................................................................................................................" }, { "id": "9702-2021-mj-52-q02", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-mj-52-q02-p01.png", "9702-practical-skills/assets/9702-2021-mj-52-q02-p02.png", "9702-practical-skills/assets/9702-2021-mj-52-q02-p03.png", "9702-practical-skills/assets/9702-2021-mj-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2021-mj-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_52.pdf?download=true", "source_pages": [ 8, 9, 10 ], "marks": 15 }, "text_excerpt": "A student investigates the current in a circuit containing a cell, as shown in Fig. 2.1. 2\nE\nr\nA\nR R\n1 2\nQ P\nFig. 2.1\nand R between P and Q. The ammeter The student connects two resistors of resistances R\n1 2\nI. measures the current\nThe student repeats the experiment with different resistors between P and Q.\nI, and R are related by the equation It is suggested that R\n1 2\nI(R + R + r) E =\n1 2\nwhere E is the electromotive force (e.m.f.) and r is the internal resistance of the cell.\n1\n+ R ) on the x‑axis. on the y‑axis against (R A graph is plotted of (a)\n1 2 I\nDetermine expressions for the gradient and y‑intercept.\ngradient = ...............................................................\ny‑intercept = ...............................................................\n[1]\n[Turn over © UCLES 2021 9702/52/M/J/21\n6\nI Values of R , R and are given in Table 2.1. (b)\n1 2\nEach resistance value has a percentage uncertainty of ± 5%.\nTable 2.1\n1\nΩ Ω Ω A–1 I R / R / (R + R ) / / mA /\n1 2 1 2 I\n22 33 17.2\n22 47 14.2\n22 56 12.8\n33 47 12.4\n33 56 11.4\n47 56 10.1\n1\nA–1 Ω Calculate and record values of (R + R ) / and in Table 2.1. /\n1 2 I\n+ R ). [2] Include the absolute uncertainties in (R\n1 2\n1\nA–1 Ω. against (R + R ) / Plot a graph of / (c) (i)\n1 2 I\n+ R ). [2] Include error bars for (R\n1 2\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Both (ii)\nlines should be clearly labelled. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2021 9702/52/M/J/21\n7\n110\n105\n100\n1\nA–1 /\nI\n95\n90\n85\n80\n75\n70\n65\n60\n55\n100 110 120 60 70 80 90 50\nΩ (R + R ) /\n1 2\n[Turn over © UCLES 2021 9702/52/M/J/21\n8\nDetermine the y‑intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny‑intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine values of E and r. Include (d) (i) (c)(iii)\nappropriate units.\nE = ...............................................................\nr = ...............................................................\n[2]\nDetermine the absolute uncertainty in E. (ii)\nabsolute uncertainty in E = ......................................................... [1]\nΩ. is 22 Determine the The experiment is repeated using the same cell. The value of R (e)\n1\nthat would give a current of 7.5 mA. resistance R\n2\nΩ = ..................................................... [1] R\n2\n[Total: 15]\nTo avoid the issue of disclosure of answer‑related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\n© UCLES 2021 9702/52/M/J/21" }, { "id": "9702-2021-mj-53-q01", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "53", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_53.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-mj-53-q01-p01.png", "9702-practical-skills/assets/9702-2021-mj-53-q01-p02.png", "9702-practical-skills/assets/9702-2021-mj-53-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2021-mj-53-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_53.pdf?download=true", "source_pages": [ 6, 7 ], "marks": 15 }, "text_excerpt": "A student investigates the current in a coil and a resistor connected in series, as shown in Fig. 1.1. 1\ncoil\nR\nFig. 1.1\nThe student connects a high-voltage d.c. power supply and a switch across the series combination.\nWhen the switch is closed, it takes time t for the current in the resistor of resistance R to reach a\nmaximum value. The time t is a few milliseconds.\nThere are a number of different unmarked resistors available.\nIt is suggested that the relationship between t and R is\n2 KN A\nt =\nLR\nwhere N is the number of turns of wire on the coil, A is the cross-sectional area of the coil, L is the\nlength of the coil and K is a constant.\nDesign a laboratory experiment to test the relationship between t and R.\nExplain how your results could be used to determine a value for K.\nYou should draw a diagram, on page 3, showing the arrangement of your equipment. In your\naccount you should pay particular attention to:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2021 9702/53/M/J/21\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..........................................................................................." }, { "id": "9702-2021-mj-53-q02", "subject": "9702", "year": 2021, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "53", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_qp_53.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2021-May-June/qp/9702_s21_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-mj-53-q02-p01.png", "9702-practical-skills/assets/9702-2021-mj-53-q02-p02.png", "9702-practical-skills/assets/9702-2021-mj-53-q02-p03.png", "9702-practical-skills/assets/9702-2021-mj-53-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2021-mj-53-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-May-June/ms/9702_s21_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-May-June/9702_s21_ms_53.pdf?download=true", "source_pages": [ 8, 9, 10 ], "marks": 15 }, "text_excerpt": "A student investigates the collision of two gliders A and B on a linear air-track. A card is attached to 2\nglider B, as shown in Fig. 2.1.\ncard\nlight gate connected to data logger\nglider B\nglider A\nair-track\nbench\nFig. 2.1\nGlider B has a mass M. A mass m is added to glider B.\nGlider A travels at a constant velocity u towards the stationary glider B. The gliders then collide\nand move together towards the light gate.\nThe card passes through the light gate which is connected to a data logger. The student records\nthe velocity v of the two gliders from the data logger.\nThe student changes the mass m and repeats the experiment.\nIt is suggested that v and m are related by the equation\nAu = (M + m + A)v\nwhere A is the mass of glider A.\n1\non the y-axis against (M + m) on the x-axis. A graph is plotted of (a)\nv\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2021 9702/53/M/J/21\n6\nValues of m and v are given in Table 2.1. (b)\nThe value of M is 330 g ± 5%.\nEach value of m has a percentage uncertainty of ± 5%.\nTable 2.1\n1 s–1 cm–1 m / g (M + m) / g v / cm / s\nv\n50 4.42\n150 3.92\n250 3.40\n350 3.02\n500 2.58\n600 2.33\n1\ncm–1 Calculate and record values of (M + m) / g and in Table 2.1. / s\nv\nInclude the absolute uncertainties in (M + m). [2]\n1\ncm–1 against (M + m) / g. / s Plot a graph of (c) (i)\nv\nInclude error bars for (M + m). [2]\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Both (ii)\nlines should be clearly labelled. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2021 9702/53/M/J/21\n7\n0.44\n0.42\n1\n–1 /scm\nv\n0.40\n0.38\n0.36\n0.34\n0.32\n0.30\n0.28\n0.26\n0.24\n0.22\n300 400 500 600 700 800 900 1000\n(M + m) / g\n[Turn over © UCLES 2021 9702/53/M/J/21\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of u and A. (d) (i) (c)(iii)\nInclude appropriate units.\nu = ...............................................................\nA = ...............................................................\n[2]\nDetermine the percentage uncertainty in A. (ii)\npercentage uncertainty in A = ..................................................... % [1]\nThe experiment is repeated. Determine the value of m that would give a velocity v of (e)\n–1. 2.0 cm s\nm = ...................................................... g [1]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This i" }, { "id": "9702-2021-on-41-q01", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 1, "topic_number": 12, "topic": "Motion in a circle", "topic_slug": "9702-topic-12-motion-in-a-circle", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-12-motion-in-a-circle/assets/9702-2021-on-41-q01-p01.png", "9702-topic-12-motion-in-a-circle/assets/9702-2021-on-41-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q01", "html": "9702-topic-12-motion-in-a-circle/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 7 ], "marks": 7 }, "text_excerpt": "With reference to velocity and acceleration, describe uniform circular motion. 1 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nTwo cars are moving around a horizontal circular track. One car follows path X and the other (b)\nfollows path Y, as shown in Fig. 1.1.\nstart and finish line\ntrack\npath X\n318 m 27 m\npath Y\n(not to scale) Fig. 1.1\nThe radius of path X is 318 m. Path Y is parallel to, and 27 m outside, path X. Both cars have\nmass 790 kg. The maximum lateral (sideways) friction force F that the cars can experience\nwithout sliding is the same for both cars.\nThe maximum speed at which the car on path X can move around the track without (i)\ns–1. sliding is 94 m\nCalculate F.\nF = ..................................................... N [2]\n© UCLES 2021 9702/41/O/N/21\n5\nBoth cars move around the track. Each car has the maximum speed at which it can (ii)\nmove without sliding.\nComplete Table 1.1, by placing one tick in each row, to indicate how the quantities\nindicated for the car on path Y compare with the car on path X.\nTable 1.1\nY less than X Y same as X Y greater than X\ncentripetal\nacceleration\nmaximum speed\ntime taken for one lap\nof the track\n[3]\n[Total: 7]\n[Turn over © UCLES 2021 9702/41/O/N/21" }, { "id": "9702-2021-on-41-q02", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 2, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2021-on-41-q02-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2021-on-41-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q02", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 8 ], "marks": 9 }, "text_excerpt": "Define gravitational potential. 2 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nThe Earth E and the Moon M can both be considered as isolated point masses at their (b)\n24 1022 kg and the mass of the Moon is 7.35 kg. centres. The mass of the Earth is 5.98 10 × ×\n108 m, as shown in Fig. 2.1. The Earth and the Moon are separated by a distance of 3.84 ×\n108 3.84 m ×\nx\nP\nEarth E Moon M\n1024 1022 mass 5.98 kg mass 7.35 kg × ×\n(not to scale) Fig. 2.1\nP is a point, on the line joining the centres of E and M, where the resultant gravitational field\nstrength is zero. Point P is at a distance x from the centre of the Earth.\nExplain how it is possible for the gravitational field strength to be zero despite the (i)\npresence of two large masses nearby.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n8 m. Show that x is approximately 3.5 10 (ii) ×\n[2]\n© UCLES 2021 9702/41/O/N/21\n7\nφ Calculate the gravitational potential at point P. (iii)\nkg–1 φ = ............................................... J [3]\n[Total: 9]\n[Turn over © UCLES 2021 9702/41/O/N/21" }, { "id": "9702-2021-on-41-q03", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2021-on-41-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2021-on-41-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 9 ], "marks": 13 }, "text_excerpt": "Define specific heat capacity. 3 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA sealed container of fixed volume V contains N molecules, each of mass m, of an ideal gas (b)\nat pressure p.\nState an expression, in terms of V, N, p and the Boltzmann constant k, for the (i)\nthermodynamic temperature T of the gas.\n..................................................................................................................................... [1]\nof a molecule of the gas is given by Show that the mean translational kinetic energy E (ii)\nK\n3\n= E kT.\nK 2\n[2]\nExplain why the internal energy of the gas is equal to the total kinetic energy of the (iii)\nmolecules.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nThe gas in is supplied with thermal energy Q. (c) (b)\nExplain, with reference to the first law of thermodynamics, why the increase in internal (i)\nenergy of the gas is Q.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2021 9702/41/O/N/21\n9\nUse the expression in and the information in to show that the specific heat (ii) (b)(ii) (c)(i)\ncapacity c of the gas is given by\n3k\nc = .\n2m\n[2]\nThe container in is now replaced with one that does not have a fixed volume. Instead, the (d) (b)\ngas is able to expand, so that the pressure of the gas remains constant as thermal energy is\nsupplied.\nSuggest, with a reason, how the specific heat capacity of the gas would now compare with\nthe value in (c)(ii).\n...................................................................................................................................................\n...................................................................................................................................................\n..............................................................................................................................................." }, { "id": "9702-2021-on-41-q04", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 10, 11, 12 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2021-on-41-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2021-on-41-q04-p02.png", "9702-topic-17-oscillations/assets/9702-2021-on-41-q04-p03.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 10 ], "marks": 11 }, "text_excerpt": "A trolley on a track is attached by springs to fixed blocks X and Y, as shown in Fig. 4.1. The track 4\ncontains many small holes through which air is blown vertically upwards. This results in the trolley\nresting on a cushion of air rather than being in direct contact with the track.\nsprings\nL\ntrolley\nY X\nfixed block holes track fixed block\nFig. 4.1\nThe trolley is pulled to one side of its equilibrium position and then released so that it oscillates\ninitially with simple harmonic motion. After a short time, the air blower is switched off. The variation\nwith time t of the distance L of the trolley from block X is shown in Fig. 4.2.\n30\n/ cm L\n25\n20\n15\n10\n0 4 8 12 16 20 24\nt / s\nFig. 4.2\nUse Fig. 4.2 to determine: (a)\nthe initial amplitude of the oscillations (i)\namplitude = ................................................... cm [1]\n© UCLES 2021 9702/41/O/N/21\n11\nω the angular frequency of the oscillations (ii)\ns–1 ω = .............................................. rad [2]\ns–1, , in cm of the oscillating trolley. the maximum speed v (iii)\n0\ns–1 v = .............................................. cm [2]\n0\nApart from the quantities in (a), describe what may be deduced from Fig. 4.2 about the motion (b)\nof the trolley between time t = 0 and time t = 24 s. No calculations are required.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\nOn Fig. 4.3, sketch the variation with L of the velocity v of the trolley for its first complete (c)\noscillation.\n10\ns–1 / cm v\n5\n0\n0 5 10 15 20 25 30\nL / cm\n–5\n–10\nFig. 4.3\n[3]\n[Total: 11]\n[Turn over © UCLES 2021 9702/41/O/N/21\n12\nBLANK PAGE\n© UCLES 2021 9702/41/O/N/21" }, { "id": "9702-2021-on-41-q05", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 5, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 13, 14, 15 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-on-41-q05-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-on-41-q05-p02.png", "9702-topic-21-alternating-currents/assets/9702-2021-on-41-q05-p03.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q05", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 11 ], "marks": 8 }, "text_excerpt": "An analogue signal is to be transmitted to a receiver. Before transmission, the signal passes 5\nthrough an analogue-to-digital converter (ADC). After transmission it passes through a\ndigital-to-analogue converter (DAC) before finally reaching the receiver, as shown in Fig. 5.1.\ntransmission line\ninput\nreceiver ADC DAC\nsignal\nFig. 5.1\nState advantages of converting the signal into digital form for transmission. (a) two\n1. ...............................................................................................................................................\n...................................................................................................................................................\n2. ...............................................................................................................................................\n...................................................................................................................................................\n[2]\nThe variation with time of the potential difference (p.d.) of the input signal is shown in Fig. 5.2. (b)\n8\n/ mV p.d.\n6\n4\n2\n0\n0 2 4 6 8 10 12\n/ ms time\nFig. 5.2\nThe ADC has a sampling frequency of 250 Hz and uses 4-bit sampling, with the least\nsignificant bit corresponding to 1 mV. The signal is first sampled at time 0, when the sampled\nbits are 0001.\nState the sampled bits at time 4 ms and time 8 ms. (i)\n4 ms: ............................................. 8 ms: ............................................. [1]\n[Turn over © UCLES 2021 9702/41/O/N/21\n14\nPart of the signal received by the receiver, after the sampled signal has passed through (ii)\nthe DAC, is shown in Fig. 5.3.\n8\n/ mV p.d.\n6\n4\n2\n0\n0 2 4 6 8 10 12\n/ ms time\nFig. 5.3\nOn Fig. 5.3, complete the line to show the received signal for time 0 to time 12 ms. [2]\n© UCLES 2021 9702/41/O/N/21\n15\nThe ADC in is replaced with one that has a sampling frequency of 500 Hz and uses 3-bit (c) (b)\nsampling, with the least significant bit corresponding to 2 mV.\nOn Fig. 5.4, sketch the signal that is now received, after passing through the DAC, from\ntime 0 to time 12 ms.\n8\n/ mV p.d.\n6\n4\n2\n0\n0 2 4 6 8 10 12\n/ ms time\nFig. 5.4\n[3]\n[Total: 8]\n[Turn over © UCLES 2021 9702/41/O/N/21" }, { "id": "9702-2021-on-41-q06", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 5, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2021-on-41-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2021-on-41-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 11 ], "marks": 5 }, "text_excerpt": "A capacitor consists of two parallel metal plates, separated by air, at a variable distance x 6 (a)\napart, as shown in Fig. 6.1. The capacitance C is inversely proportional to x.\nx\nmetal plates\nFig. 6.1\nThe capacitor is charged by a supply so that there is a potential difference (p.d.) V between\nthe plates.\nState expressions, in terms of C and V, for the charge Q on one of the plates and for the\nenergy E stored in the capacitor.\nQ = ............................................. E = ............................................. [1]\nThe charged capacitor in is now disconnected from the supply. The plates of the capacitor (b) (a)\nare initially separated by distance L. They are then moved closer together by a distance D, as\nshown in Fig. 6.2.\nnew position D\noriginal position\nL\nFig. 6.2\nState expressions, in terms of C, V, L and D, for:\nthe new capacitance C (i)\nN\nC = ......................................................... [1]\nN\n© UCLES 2021 9702/41/O/N/21\n17\nthe new charge Q on one of the plates (ii)\nN\n= ......................................................... [1] Q\nN\nbetween the plates. the new p.d. V (iii)\nN\n= ......................................................... [1] V\nN\nExplain whether reducing the separation of the plates in results in an increase or decrease (c) (b)\nin the energy stored in the capacitor.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 5]\n[Turn over © UCLES 2021 9702/41/O/N/21" }, { "id": "9702-2021-on-41-q07", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 7, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-on-41-q07-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-on-41-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q07", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 12 ], "marks": 9 }, "text_excerpt": "State properties of an ideal operational amplifier (op-amp). 7 (a) two\n1. . ..............................................................................................................................................\n...................................................................................................................................................\n2. . ..............................................................................................................................................\n...................................................................................................................................................\n[2]\nFig. 7.1 shows a circuit that includes an ideal op-amp and two identical resistors R. (b)\nV +5\nR\nV\nL\n–\n+\nY\nR\nX\n–5 V\nFig. 7.1\nState the names of components X and Y.\nX: ............................................ Y: ............................................ [1]\nExplain why the op-amp in Fig. 7.1 has only two possible output states. (c) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nState the name of the type of op-amp circuit in which the op-amp behaves as in (c)(i). (ii)\n..................................................................................................................................... [1]\n© UCLES 2021 9702/41/O/N/21\n19\nDescribe the environmental condition under which the lamp L in Fig. 7.1 will light. (iii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nSuggest the purpose of the variable resistor V in the circuit. (iv)\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 9]\n[Turn over © UCLES 2021 9702/41/O/N/21" }, { "id": "9702-2021-on-41-q08", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 8, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 6, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2021-on-41-q08-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2021-on-41-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q08", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 13 ], "marks": 6 }, "text_excerpt": "Define the tesla. 8 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA stiff metal wire is used to form a rectangular frame measuring 8.0 cm 6.0 cm. The frame is (b) ×\nopen at the top, and is suspended from a sensitive newton meter, as shown in Fig. 8.1.\nnewton meter\ninsulating thread\n5.0 A\n8.0 cm\nframe\nP Q\n6.0 cm\nFig. 8.1\nThe open ends of the frame are connected to a power supply so that there is a current of\n5.0 A in the frame in the direction indicated in Fig. 8.1.\nThe frame is slowly lowered into a uniform magnetic field of flux density B so that all of side\nPQ is in the field. The magnetic field lines are horizontal and at an angle of 50° to PQ, as\nshown in Fig. 8.2.\nB\nP Q view from above\n50°\nFig. 8.2\nWhen side PQ of the frame first enters the magnetic field, the reading on the newton meter\nchanges by 1.0 mN.\n© UCLES 2021 9702/41/O/N/21\n21\nDetermine the magnetic flux density B, in mT. (i)\nB = ................................................... mT [2]\nState, with a reason, whether the change in the reading on the newton meter is an (ii)\nincrease or a decrease.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\nThe frame is lowered further so that the vertical sides start to enter the magnetic field. (iii)\nSuggest what effect this will have on the frame.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 6]\n[Turn over © UCLES 2021 9702/41/O/N/21" }, { "id": "9702-2021-on-41-q09", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 9, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 22, 23 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2021-on-41-q09-p01.png", "9702-topic-15-ideal-gases/assets/9702-2021-on-41-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q09", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 13 ], "marks": 9 }, "text_excerpt": "State, by reference to the power dissipated in a resistor, what is meant by the 9 (a)\nroot-mean-square (r.m.s.) value of an alternating voltage.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA coil is rotating freely, on frictionless bearings, at constant speed in a uniform magnetic (b)\nfield. This rotation causes an induced alternating electromotive force (e.m.f.) across the open\nterminals of the coil. The induced e.m.f. has r.m.s. value 12 V and frequency 50 Hz.\nThe speed of rotation of the coil is now doubled.\nState and explain, with reference to the principles of electromagnetic induction, the effect (i)\nof the increased speed of rotation on the r.m.s. value of the induced e.m.f.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nOn Fig. 9.1, sketch the variation with time t of the induced e.m.f. E across the terminals (ii)\nof the coil at the speed of rotation. Your line should extend from time t = 0 to increased\ntime t = 20 ms. Assume that E = 0 when t = 0.\n40\nE / V\n20\n0\n0 5 10 15 20\nt / ms\n–20\n–40\nFig. 9.1\n[3]\n© UCLES 2021 9702/41/O/N/21\n23\nState and explain the effect on the motion of the coil in of connecting a load resistor (c) (b)\nacross its terminals.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 9]\n[Turn over © UCLES 2021 9702/41/O/N/21" }, { "id": "9702-2021-on-41-q10", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 10, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 24 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2021-on-41-q10-p01.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q10", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 14 ], "marks": 9 }, "text_excerpt": "State an experimental phenomenon that provides evidence for: 10 (a)\nthe particulate nature of electromagnetic radiation (i)\n..................................................................................................................................... [1]\nthe wave nature of matter. (ii)\n..................................................................................................................................... [1]\nA particle of matter moves with momentum p. (b)\nλ of the particle. State the name of State the equation that gives the effective wavelength (i)\nany other symbols used.\n[2]\nState the name given to the wavelength of the moving particle. (ii)\n..................................................................................................................................... [1]\nElectrons are accelerated from rest through a potential difference (p.d.) of 4.8 kV. (c)\n7 s–1. m Show that the final speed of the electrons is 4.1 10 (i) ×\n[2]\nCalculate the effective wavelength of a beam of electrons moving at the speed in (c)(i). (ii)\nwavelength = ..................................................... m [2]\n[Total: 9]\n© UCLES 2021 9702/41/O/N/21" }, { "id": "9702-2021-on-41-q11", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 11, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 25 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2021-on-41-q11-p01.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q11", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 15 ], "marks": 7 }, "text_excerpt": "State, for an X-ray image, what is meant by: 11 (a)\nsharpness (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\ncontrast. (ii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nA parallel X-ray beam passes through a thickness of 2.3 cm of soft body tissue. The intensity (b)\nof the emerging beam is 12% of the intensity of the incident beam.\nμ of the soft body tissue. Give a unit Calculate the linear attenuation (absorption) coefficient\nwith your answer.\nμ = .......................................... unit ..................... [3]\nIn medical diagnosis, X-rays may be used to produce a single X-ray image or may be used in (c)\ncomputed tomography (CT scanning).\nSuggest an advantage and a disadvantage of CT scanning compared with single X-ray\nimaging for diagnosis.\nadvantage: ................................................................................................................................\n...................................................................................................................................................\ndisadvantage: ...........................................................................................................................\n...................................................................................................................................................\n[2]\n[Total: 7]\n[Turn over © UCLES 2021 9702/41/O/N/21" }, { "id": "9702-2021-on-41-q12", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 12, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_41.pdf?download=true", "source_pages": [ 26, 27, 28 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_41.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2021-on-41-q12-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2021-on-41-q12-p02.png", "9702-topic-23-nuclear-physics/assets/9702-2021-on-41-q12-p03.png" ], "answer": { "status": "available", "id": "9702-2021-on-41-q12", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_41.pdf?download=true", "source_pages": [ 15 ], "marks": 7 }, "text_excerpt": "Define radioactive decay constant. 12 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n131I) 10–10 of mass 5.87 kg has an activity of A sample of radioactive iodine-131 ( (b) ×\n53\n109 Bq. 2.92 ×\nDetermine the decay constant of iodine-131.\n–1 [3] decay constant = ................................................... s\nSuggest reasons why a detector placed near to the sample in would record a count (c) two (b)\n109 counts per second. rate much less than 2.92 ×\n1. ...............................................................................................................................................\n...................................................................................................................................................\n2. ...............................................................................................................................................\n...................................................................................................................................................\n[2]\n[Total: 7]\n© UCLES 2021 9702/41/O/N/21\n27\nBLANK PAGE\n© UCLES 2021 9702/41/O/N/21\n28\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of\nCambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.\n© UCLES 2021 9702/41/O/N/21" }, { "id": "9702-2021-on-42-q01", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 12, "topic": "Motion in a circle", "topic_slug": "9702-topic-12-motion-in-a-circle", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-12-motion-in-a-circle/assets/9702-2021-on-42-q01-p01.png", "9702-topic-12-motion-in-a-circle/assets/9702-2021-on-42-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q01", "html": "9702-topic-12-motion-in-a-circle/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 7 ], "marks": 8 }, "text_excerpt": "State what is meant by centripetal acceleration. 1 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\nAn unpowered toy car moves freely along a smooth track that is initially horizontal. The track (b)\ncontains a vertical circular loop around which the car travels, as shown in Fig. 1.1.\n62 cm\nY\nloop\ntoy car\nmass 230 g\ntrack\nX\nFig. 1.1\nThe mass of the car is 230 g and the diameter of the loop is 62 cm. Assume that the resistive\nforces acting on the car are negligible.\nState what happens to the magnitude of the centripetal acceleration of the car as it (i)\nmoves around the loop from X to Y.\n..................................................................................................................................... [1]\nExplain, if the car remains in contact with the track, why the centripetal acceleration of (ii)\n–2. the car at point Y must be greater than 9.8 m s\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2021 9702/42/O/N/21\n5\ns–1. The initial speed at which the car in moves along the track is 3.8 m (c) (b)\nDetermine whether the car is in contact with the track at point Y. Show your working.\n[3]\nSuggest, with a reason but without calculation, whether your conclusion in would be (d) (c)\ndifferent for a car of mass 460 g moving with the same initial speed.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 8]\n[Turn over © UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-42-q02", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2021-on-42-q02-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2021-on-42-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q02", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 10 }, "text_excerpt": "State the relationship between gravitational potential and gravitational field strength. 2 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA moon of mass M and radius R orbits a planet of mass 3M and radius 2R. At a particular (b)\ntime, the distance between their centres is D, as shown in Fig. 2.1.\nD\nx\nP\nplanet moon\nmass 3M mass M\nradius 2R radius R\nFig. 2.1\nPoint P is a point along the line between the centres of the planet and the moon, at a variable\ndistance x from the centre of the planet.\nφ at point P, for points between the planet The variation with x of the gravitational potential\nand the moon, is shown in Fig. 2.2.\nφ\nx 0\n2R D – R 0\nFig. 2.2\n© UCLES 2021 9702/42/O/N/21\n7\nφ Explain why is negative throughout the entire range x = 2R to x = D – R. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nφ is negative throughout. One of the features of Fig. 2.2 is that (ii)\nDescribe other features of Fig. 2.2. two\n1. .......................................................................................................................................\n...........................................................................................................................................\n2. .......................................................................................................................................\n...........................................................................................................................................\n[2]\nOn Fig. 2.3, sketch the variation with x of the gravitational field strength g at point P (iii)\nbetween x = 2R and x = D – R.\ng\n0 x\n2R D – R 0\nFig. 2.3\n[3]\n[Total: 10]\n[Turn over © UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-42-q03", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2021-on-42-q03-p01.png", "9702-topic-15-ideal-gases/assets/9702-2021-on-42-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q03", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 11 }, "text_excerpt": "One of the assumptions of the kinetic theory of gases is that all collisions involving molecules 3 (a)\nof the gas are elastic.\nState what is meant by an elastic collision. (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nState other assumptions of the kinetic theory of gases. (ii) two\n1. .......................................................................................................................................\n...........................................................................................................................................\n2. .......................................................................................................................................\n...........................................................................................................................................\n[2]\nA molecule of an ideal gas has mass m and is contained in a cubic box of side length L. The (b)\nmolecule is moving with velocity u towards the face of the box that is shaded in Fig. 3.1.\nL\nmolecule\nu\nFig. 3.1\nThe molecule collides elastically with the shaded face and the face opposite to it alternately.\nDeduce expressions, in terms of m, u and L, for:\nthe magnitude of the change in momentum of the molecule on colliding with a face (i)\nchange in momentum = ......................................................... [1]\nthe time between consecutive collisions of the molecule with the shaded face (ii)\ntime = ......................................................... [1]\n© UCLES 2021 9702/42/O/N/21\n9\nthe average force exerted by the molecule on the shaded face (iii)\nforce = ......................................................... [1]\nthe pressure on the shaded face if the force in is exerted over the whole area of the (iv) (iii)\nface.\npressure = ......................................................... [1]\nWhen the model described in is extended to three dimensions, and to a gas containing N (c) (b)\n〈c2〉, it can be shown that molecules, each of mass m, travelling with mean-square speed\n1 Nm〈c2〉 pV =\n3\nwhere p is the pressure exerted by the gas and V is the volume of the gas.\nUse this expression, together with the equation of state of an ideal gas, to show that the\nof a molecule of an ideal gas is given by average translational kinetic energy E\nK\n3\nE = kT\nK 2\nwhere T is the thermodynamic temperature of the gas and k is the Boltzmann constant.\n[2]\n–27 kg. The mass of a hydrogen molecule is 3.34 10 (d) ×\nin to determine the root-mean-square (r.m.s.) speed of a Use the expression for E (c)\nK\nmolecule of hydrogen gas at 25 °C.\ns–1 [2] r.m.s. speed = ............................................... m\n[Total: 11]\n[Turn over © UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-42-q04", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2021-on-42-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2021-on-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 10 ], "marks": 7 }, "text_excerpt": "A trolley on a smooth surface is attached by springs to fixed blocks as shown in Fig. 4.1. 4\nsprings\ntrolley\nsmooth surface fixed block fixed block\nFig. 4.1\nThe trolley oscillates horizontally about its equilibrium position with an amplitude of 12 cm. Fig. 4.2\nshows the variation of the acceleration a of the trolley with displacement x from its equilibrium\nposition. Friction between the trolley and the surface can be assumed to be negligible.\n0.8\ns–2 a / m\n0.4\n0\n–12 –8 – 4 0 4 8 12\nx / cm\n– 0.4\n–0.8\nFig. 4.2\nDescribe the features of the line in Fig. 4.2 that demonstrate that the motion of the trolley is (a)\nsimple harmonic.\n...................................................................................................................................................\n..................................................................................................................................................\n............................................................................................................................................. [2]\n© UCLES 2021 9702/42/O/N/21\n11\nUse Fig. 4.2 to determine the period T of the oscillations of the trolley. (b)\nT = ...................................................... s [3]\nOn the line of the graph of Fig. 4.2, label with the letter P one point where the kinetic (c) (i)\nenergy of the trolley is zero. [1]\nOn the line of the graph of Fig. 4.2, label with the letter Q an approximate position of one (ii)\npoint where the kinetic energy of the trolley is equal to the potential energy stored in the\nsprings. [1]\n[Total: 7]\n[Turn over © UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-42-q05", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 12 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-on-42-q05-p01.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q05", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 11 ], "marks": 8 }, "text_excerpt": "When audio signals are transmitted over long distances, modulation of radio waves is 5 (a) (i)\nused.\nSuggest a reason why modulation is used.\n...........................................................................................................................................\n..................................................................................................................................... [1]\nState a technical advantage and a technical disadvantage of using frequency modulation (ii)\nrather than amplitude modulation.\nadvantage: ........................................................................................................................\n...........................................................................................................................................\ndisadvantage: ....................................................................................................................\n...........................................................................................................................................\n[2]\nμV An audio signal of amplitude 2.0 and frequency 4.2 kHz is to be transmitted using a carrier (b)\nwave of amplitude 10.0 mV and frequency 100 kHz.\nEither amplitude modulation or frequency modulation may be used.\n–1. μV The amplitude modulation is at a rate of 1 mV\nμV–1. The frequency modulation is at a rate of 5 kHz\nComplete Table 5.1 to show the maximum and minimum values of the amplitude and of the\nfrequency of the modulated wave for each type of modulation.\nTable 5.1\namplitude / mV frequency / kHz\nminimum maximum minimum maximum\namplitude modulation\nfrequency modulation\n[4]\nFor the amplitude modulated wave in (b), determine the bandwidth. (c)\nbandwidth = .................................................. kHz [1]\n[Total: 8]\n© UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-42-q06", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 13 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2021-on-42-q06-p01.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 12 ], "marks": 7 }, "text_excerpt": "Define electric potential. 6 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nAn isolated conducting sphere in a vacuum has radius r and is initially uncharged. It is then (b)\ncharged by friction so that it carries a final charge Q. This charge can be considered to be\nacting at the centre of the sphere.\nBy considering the electric potential at its surface, show that the capacitance C of the sphere\nis given by\n4πε r C =\n0\nε is the permittivity of free space. where\n0\n[2]\nThe dome of an electrostatic generator is a spherical conductor of radius 13 cm. It is initially (c)\ncharged so that the electric potential at the surface is 4.5 kV.\nA smaller isolated sphere of radius 5.2 cm, initially uncharged, is brought near to the dome.\nSparking causes a current between the two spheres until they reach the same potential.\nAssume that any charge on a sphere may be considered to act as a point charge at its centre.\nCalculate the charge that is transferred between the two spheres.\ncharge = ..................................................... C [3]\n[Total: 7]\n[Turn over © UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-42-q07", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-on-42-q07-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-on-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q07", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 13 ], "marks": 10 }, "text_excerpt": "An operational amplifier (op-amp) has two input terminals and one output terminal. 7 (a)\nState what is meant by the gain of an op-amp.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nState effects of negative feedback on the gain of an amplifier circuit that uses an op-amp. (b) two\n1. ...............................................................................................................................................\n...................................................................................................................................................\n2. ...............................................................................................................................................\n...................................................................................................................................................\n[2]\nFig. 7.1 shows an op-amp circuit that uses negative feedback. (c)\nkΩ 1.2\nV +8.0\nΩ 480\nV\n– IN\nV\nOUT\n+\n–8.0 V\n0 V 0 V\nFig. 7.1\nState the name of the type of circuit shown in Fig. 7.1. (i)\n..................................................................................................................................... [1]\nOn Fig. 7.1, label with the letter X a point in the circuit that is considered to be a virtual (ii)\nearth. [1]\n© UCLES 2021 9702/42/O/N/21\n15\nCalculate the gain of the circuit in Fig. 7.1. (iii)\ngain = ......................................................... [2]\nwhen V is +6.5 V. Determine the value of V (iv)\nIN OUT\n= .......................................................V [1] V\nIN\nwhen V is –5.4 V. Determine the value of V (v)\nOUT IN\n= .......................................................V [1] V\nOUT\n[Total: 10]\n[Turn over © UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-42-q08", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 5, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 16 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2021-on-42-q08-p01.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q08", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 14 ], "marks": 5 }, "text_excerpt": "Two long straight parallel wires P and Q carry currents into the plane of the paper, as shown in 8\nFig. 8.1.\nP Q\nI 2I current current\nFig. 8.1\nI 2I. The current in P is and the current in Q is\nOn Fig. 8.1, draw an arrow to show the direction of the magnetic field at wire Q due to (a) (i)\nthe current in wire P. Label this arrow B. [1]\nOn Fig. 8.1, draw another arrow to show the direction of the force acting on wire Q due to (ii)\nthe current in wire P. Label this arrow F. [1]\nState, with a reason, how the magnitude of the force acting on wire P compares with the (b) (i)\nmagnitude of the force acting on wire Q.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nState how the direction of the force on wire P compares with the direction of the force on (ii)\nwire Q.\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 5]\n© UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-42-q09", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 17 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2021-on-42-q09-p01.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q09", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 15 ], "marks": 9 }, "text_excerpt": "State what is meant by: 9 (a)\nthe photoelectric effect (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nwork function energy. (ii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nA polished calcium plate in a vacuum is investigated by illuminating the surface with light. (b)\nIt is found that no photoelectric current is produced when the frequency of the light is less\n14 Hz. than 6.93 10 ×\nState the name of the frequency below which no photoelectric current is produced. (i)\n..................................................................................................................................... [1]\nExplain how the photon model of electromagnetic radiation accounts for this phenomenon. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nCalculate the work function energy, in eV, of calcium. (iii)\nwork function energy = .................................................... eV [2]\n[Total: 9]\n[Turn over © UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-42-q10", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 18, 19, 20 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-on-42-q10-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-on-42-q10-p02.png", "9702-topic-21-alternating-currents/assets/9702-2021-on-42-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q10", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 16 ], "marks": 10 }, "text_excerpt": "Fig. 10.1 shows a simple laminated iron-cored transformer consisting of a primary coil of 25 000 10\nturns and a secondary coil of 625 turns.\nlaminated iron core\n25 000 625\nV V Ω 640\nIN OUT turns turns\nFig. 10.1\nΩ. is applied to a load resistor of resistance 640 The output potential difference (p.d.) V\nOUT\nState the function of the iron core. (a) (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nExplain why the iron core is laminated. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nis a sinusoidal alternating voltage of peak value 12 kV and period 40 ms. The input p.d. V (b)\nIN\n. Calculate the maximum value of V (i)\nOUT\n= ...................................................... V [1] maximum V\nOUT\n© UCLES 2021 9702/42/O/N/21\n19\nCalculate the root-mean-square (r.m.s.) current in the load resistor. (ii)\nr.m.s. current = ...................................................... A [1]\nOn Fig. 10.2, sketch the variation with time t of the power P dissipated in the load resistor (iii)\nfor time t = 0 to t = 40 ms. Assume that P = 0 when t = 0.\n200\nP / W\n100\n0\n0 10 20 30 40\nt / ms\n–100\n–200\nFig. 10.2\n[3]\nExplain, with reference to Fig.10.2, why the mean power in the load resistor is 70 W. (c)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 10]\n[Turn over © UCLES 2021 9702/42/O/N/21\n20\nBLANK PAGE\n© UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-42-q11", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 11, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 21 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2021-on-42-q11-p01.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q11", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 17 ], "marks": 7 }, "text_excerpt": "A piezoelectric transducer containing a quartz crystal is used to obtain diagnostic information 11 (a)\nabout internal structures.\nDescribe the function of the quartz crystal.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\nDefine specific acoustic impedance. (b) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nDescribe, qualitatively, how the specific acoustic impedances of two materials affect the (ii)\nintensity reflection coefficient at a boundary between the materials.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 7]\n[Turn over © UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-42-q12", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 12, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_42.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2021-on-42-q12-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2021-on-42-q12-p02.png", "9702-topic-23-nuclear-physics/assets/9702-2021-on-42-q12-p03.png" ], "answer": { "status": "available", "id": "9702-2021-on-42-q12", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_42.pdf?download=true", "source_pages": [ 18, 19 ], "marks": 8 }, "text_excerpt": "Radioactive decay is both random and spontaneous. 12 (a)\nState what is meant by:\nrandom (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nspontaneous. (ii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nA sample of radioactive material contains atoms of an unstable nuclide X. The activity of the (b)\nsample due to the atoms of X is A. The variation with time t of ln A is shown in Fig. 12.1.\n36.6\n(A / Bq) In\n36.2\n35.8\n35.4\n35.0\n0 5 10 15 20 25\n/ min t\nFig. 12.1\n© UCLES 2021 9702/42/O/N/21\n23\nUse Fig. 12.1 to determine the half-life, in minutes, of nuclide X. (i)\nhalf-life = .................................................. min [3]\n10–7 kg. At time t = 0, the mass of the atoms of X in the sample is 5.66 (ii) ×\nDetermine the nucleon number of X.\nnucleon number = ......................................................... [3]\n[Total: 8]\n© UCLES 2021 9702/42/O/N/21\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of\nCambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.\n© UCLES 2021 9702/42/O/N/21" }, { "id": "9702-2021-on-43-q01", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 1, "topic_number": 12, "topic": "Motion in a circle", "topic_slug": "9702-topic-12-motion-in-a-circle", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-12-motion-in-a-circle/assets/9702-2021-on-43-q01-p01.png", "9702-topic-12-motion-in-a-circle/assets/9702-2021-on-43-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q01", "html": "9702-topic-12-motion-in-a-circle/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 7 ], "marks": 7 }, "text_excerpt": "With reference to velocity and acceleration, describe uniform circular motion. 1 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nTwo cars are moving around a horizontal circular track. One car follows path X and the other (b)\nfollows path Y, as shown in Fig. 1.1.\nstart and finish line\ntrack\npath X\n318 m 27 m\npath Y\n(not to scale) Fig. 1.1\nThe radius of path X is 318 m. Path Y is parallel to, and 27 m outside, path X. Both cars have\nmass 790 kg. The maximum lateral (sideways) friction force F that the cars can experience\nwithout sliding is the same for both cars.\nThe maximum speed at which the car on path X can move around the track without (i)\ns–1. sliding is 94 m\nCalculate F.\nF = ..................................................... N [2]\n© UCLES 2021 9702/43/O/N/21\n5\nBoth cars move around the track. Each car has the maximum speed at which it can (ii)\nmove without sliding.\nComplete Table 1.1, by placing one tick in each row, to indicate how the quantities\nindicated for the car on path Y compare with the car on path X.\nTable 1.1\nY less than X Y same as X Y greater than X\ncentripetal\nacceleration\nmaximum speed\ntime taken for one lap\nof the track\n[3]\n[Total: 7]\n[Turn over © UCLES 2021 9702/43/O/N/21" }, { "id": "9702-2021-on-43-q02", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 2, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2021-on-43-q02-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2021-on-43-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q02", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 8 ], "marks": 9 }, "text_excerpt": "Define gravitational potential. 2 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nThe Earth E and the Moon M can both be considered as isolated point masses at their (b)\n24 1022 kg and the mass of the Moon is 7.35 kg. centres. The mass of the Earth is 5.98 10 × ×\n108 m, as shown in Fig. 2.1. The Earth and the Moon are separated by a distance of 3.84 ×\n108 3.84 m ×\nx\nP\nEarth E Moon M\n1024 1022 mass 5.98 kg mass 7.35 kg × ×\n(not to scale) Fig. 2.1\nP is a point, on the line joining the centres of E and M, where the resultant gravitational field\nstrength is zero. Point P is at a distance x from the centre of the Earth.\nExplain how it is possible for the gravitational field strength to be zero despite the (i)\npresence of two large masses nearby.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n8 m. Show that x is approximately 3.5 10 (ii) ×\n[2]\n© UCLES 2021 9702/43/O/N/21\n7\nφ Calculate the gravitational potential at point P. (iii)\nkg–1 φ = ............................................... J [3]\n[Total: 9]\n[Turn over © UCLES 2021 9702/43/O/N/21" }, { "id": "9702-2021-on-43-q03", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2021-on-43-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2021-on-43-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 9 ], "marks": 13 }, "text_excerpt": "Define specific heat capacity. 3 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA sealed container of fixed volume V contains N molecules, each of mass m, of an ideal gas (b)\nat pressure p.\nState an expression, in terms of V, N, p and the Boltzmann constant k, for the (i)\nthermodynamic temperature T of the gas.\n..................................................................................................................................... [1]\nof a molecule of the gas is given by Show that the mean translational kinetic energy E (ii)\nK\n3\n= E kT.\nK 2\n[2]\nExplain why the internal energy of the gas is equal to the total kinetic energy of the (iii)\nmolecules.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nThe gas in is supplied with thermal energy Q. (c) (b)\nExplain, with reference to the first law of thermodynamics, why the increase in internal (i)\nenergy of the gas is Q.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2021 9702/43/O/N/21\n9\nUse the expression in and the information in to show that the specific heat (ii) (b)(ii) (c)(i)\ncapacity c of the gas is given by\n3k\nc = .\n2m\n[2]\nThe container in is now replaced with one that does not have a fixed volume. Instead, the (d) (b)\ngas is able to expand, so that the pressure of the gas remains constant as thermal energy is\nsupplied.\nSuggest, with a reason, how the specific heat capacity of the gas would now compare with\nthe value in (c)(ii).\n...................................................................................................................................................\n...................................................................................................................................................\n..............................................................................................................................................." }, { "id": "9702-2021-on-43-q04", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 10, 11, 12 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2021-on-43-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2021-on-43-q04-p02.png", "9702-topic-17-oscillations/assets/9702-2021-on-43-q04-p03.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 10 ], "marks": 11 }, "text_excerpt": "A trolley on a track is attached by springs to fixed blocks X and Y, as shown in Fig. 4.1. The track 4\ncontains many small holes through which air is blown vertically upwards. This results in the trolley\nresting on a cushion of air rather than being in direct contact with the track.\nsprings\nL\ntrolley\nY X\nfixed block holes track fixed block\nFig. 4.1\nThe trolley is pulled to one side of its equilibrium position and then released so that it oscillates\ninitially with simple harmonic motion. After a short time, the air blower is switched off. The variation\nwith time t of the distance L of the trolley from block X is shown in Fig. 4.2.\n30\n/ cm L\n25\n20\n15\n10\n0 4 8 12 16 20 24\nt / s\nFig. 4.2\nUse Fig. 4.2 to determine: (a)\nthe initial amplitude of the oscillations (i)\namplitude = ................................................... cm [1]\n© UCLES 2021 9702/43/O/N/21\n11\nω the angular frequency of the oscillations (ii)\ns–1 ω = .............................................. rad [2]\ns–1, , in cm of the oscillating trolley. the maximum speed v (iii)\n0\ns–1 v = .............................................. cm [2]\n0\nApart from the quantities in (a), describe what may be deduced from Fig. 4.2 about the motion (b)\nof the trolley between time t = 0 and time t = 24 s. No calculations are required.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\nOn Fig. 4.3, sketch the variation with L of the velocity v of the trolley for its first complete (c)\noscillation.\n10\ns–1 / cm v\n5\n0\n0 5 10 15 20 25 30\nL / cm\n–5\n–10\nFig. 4.3\n[3]\n[Total: 11]\n[Turn over © UCLES 2021 9702/43/O/N/21\n12\nBLANK PAGE\n© UCLES 2021 9702/43/O/N/21" }, { "id": "9702-2021-on-43-q05", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 5, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 13, 14, 15 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-on-43-q05-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-on-43-q05-p02.png", "9702-topic-21-alternating-currents/assets/9702-2021-on-43-q05-p03.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q05", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 11 ], "marks": 8 }, "text_excerpt": "An analogue signal is to be transmitted to a receiver. Before transmission, the signal passes 5\nthrough an analogue-to-digital converter (ADC). After transmission it passes through a\ndigital-to-analogue converter (DAC) before finally reaching the receiver, as shown in Fig. 5.1.\ntransmission line\ninput\nreceiver ADC DAC\nsignal\nFig. 5.1\nState advantages of converting the signal into digital form for transmission. (a) two\n1. ...............................................................................................................................................\n...................................................................................................................................................\n2. ...............................................................................................................................................\n...................................................................................................................................................\n[2]\nThe variation with time of the potential difference (p.d.) of the input signal is shown in Fig. 5.2. (b)\n8\n/ mV p.d.\n6\n4\n2\n0\n0 2 4 6 8 10 12\n/ ms time\nFig. 5.2\nThe ADC has a sampling frequency of 250 Hz and uses 4-bit sampling, with the least\nsignificant bit corresponding to 1 mV. The signal is first sampled at time 0, when the sampled\nbits are 0001.\nState the sampled bits at time 4 ms and time 8 ms. (i)\n4 ms: ............................................. 8 ms: ............................................. [1]\n[Turn over © UCLES 2021 9702/43/O/N/21\n14\nPart of the signal received by the receiver, after the sampled signal has passed through (ii)\nthe DAC, is shown in Fig. 5.3.\n8\n/ mV p.d.\n6\n4\n2\n0\n0 2 4 6 8 10 12\n/ ms time\nFig. 5.3\nOn Fig. 5.3, complete the line to show the received signal for time 0 to time 12 ms. [2]\n© UCLES 2021 9702/43/O/N/21\n15\nThe ADC in is replaced with one that has a sampling frequency of 500 Hz and uses 3-bit (c) (b)\nsampling, with the least significant bit corresponding to 2 mV.\nOn Fig. 5.4, sketch the signal that is now received, after passing through the DAC, from\ntime 0 to time 12 ms.\n8\n/ mV p.d.\n6\n4\n2\n0\n0 2 4 6 8 10 12\n/ ms time\nFig. 5.4\n[3]\n[Total: 8]\n[Turn over © UCLES 2021 9702/43/O/N/21" }, { "id": "9702-2021-on-43-q06", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 5, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2021-on-43-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2021-on-43-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 11 ], "marks": 5 }, "text_excerpt": "A capacitor consists of two parallel metal plates, separated by air, at a variable distance x 6 (a)\napart, as shown in Fig. 6.1. The capacitance C is inversely proportional to x.\nx\nmetal plates\nFig. 6.1\nThe capacitor is charged by a supply so that there is a potential difference (p.d.) V between\nthe plates.\nState expressions, in terms of C and V, for the charge Q on one of the plates and for the\nenergy E stored in the capacitor.\nQ = ............................................. E = ............................................. [1]\nThe charged capacitor in is now disconnected from the supply. The plates of the capacitor (b) (a)\nare initially separated by distance L. They are then moved closer together by a distance D, as\nshown in Fig. 6.2.\nnew position D\noriginal position\nL\nFig. 6.2\nState expressions, in terms of C, V, L and D, for:\nthe new capacitance C (i)\nN\nC = ......................................................... [1]\nN\n© UCLES 2021 9702/43/O/N/21\n17\nthe new charge Q on one of the plates (ii)\nN\n= ......................................................... [1] Q\nN\nbetween the plates. the new p.d. V (iii)\nN\n= ......................................................... [1] V\nN\nExplain whether reducing the separation of the plates in results in an increase or decrease (c) (b)\nin the energy stored in the capacitor.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 5]\n[Turn over © UCLES 2021 9702/43/O/N/21" }, { "id": "9702-2021-on-43-q07", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 7, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2021-on-43-q07-p01.png", "9702-topic-21-alternating-currents/assets/9702-2021-on-43-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q07", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 12 ], "marks": 9 }, "text_excerpt": "State properties of an ideal operational amplifier (op-amp). 7 (a) two\n1. . ..............................................................................................................................................\n...................................................................................................................................................\n2. . ..............................................................................................................................................\n...................................................................................................................................................\n[2]\nFig. 7.1 shows a circuit that includes an ideal op-amp and two identical resistors R. (b)\nV +5\nR\nV\nL\n–\n+\nY\nR\nX\n–5 V\nFig. 7.1\nState the names of components X and Y.\nX: ............................................ Y: ............................................ [1]\nExplain why the op-amp in Fig. 7.1 has only two possible output states. (c) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nState the name of the type of op-amp circuit in which the op-amp behaves as in (c)(i). (ii)\n..................................................................................................................................... [1]\n© UCLES 2021 9702/43/O/N/21\n19\nDescribe the environmental condition under which the lamp L in Fig. 7.1 will light. (iii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nSuggest the purpose of the variable resistor V in the circuit. (iv)\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 9]\n[Turn over © UCLES 2021 9702/43/O/N/21" }, { "id": "9702-2021-on-43-q08", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 8, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 6, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2021-on-43-q08-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2021-on-43-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q08", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 13 ], "marks": 6 }, "text_excerpt": "Define the tesla. 8 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA stiff metal wire is used to form a rectangular frame measuring 8.0 cm 6.0 cm. The frame is (b) ×\nopen at the top, and is suspended from a sensitive newton meter, as shown in Fig. 8.1.\nnewton meter\ninsulating thread\n5.0 A\n8.0 cm\nframe\nP Q\n6.0 cm\nFig. 8.1\nThe open ends of the frame are connected to a power supply so that there is a current of\n5.0 A in the frame in the direction indicated in Fig. 8.1.\nThe frame is slowly lowered into a uniform magnetic field of flux density B so that all of side\nPQ is in the field. The magnetic field lines are horizontal and at an angle of 50° to PQ, as\nshown in Fig. 8.2.\nB\nP Q view from above\n50°\nFig. 8.2\nWhen side PQ of the frame first enters the magnetic field, the reading on the newton meter\nchanges by 1.0 mN.\n© UCLES 2021 9702/43/O/N/21\n21\nDetermine the magnetic flux density B, in mT. (i)\nB = ................................................... mT [2]\nState, with a reason, whether the change in the reading on the newton meter is an (ii)\nincrease or a decrease.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\nThe frame is lowered further so that the vertical sides start to enter the magnetic field. (iii)\nSuggest what effect this will have on the frame.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 6]\n[Turn over © UCLES 2021 9702/43/O/N/21" }, { "id": "9702-2021-on-43-q09", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 9, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 22, 23 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2021-on-43-q09-p01.png", "9702-topic-15-ideal-gases/assets/9702-2021-on-43-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q09", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 13 ], "marks": 9 }, "text_excerpt": "State, by reference to the power dissipated in a resistor, what is meant by the 9 (a)\nroot-mean-square (r.m.s.) value of an alternating voltage.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA coil is rotating freely, on frictionless bearings, at constant speed in a uniform magnetic (b)\nfield. This rotation causes an induced alternating electromotive force (e.m.f.) across the open\nterminals of the coil. The induced e.m.f. has r.m.s. value 12 V and frequency 50 Hz.\nThe speed of rotation of the coil is now doubled.\nState and explain, with reference to the principles of electromagnetic induction, the effect (i)\nof the increased speed of rotation on the r.m.s. value of the induced e.m.f.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nOn Fig. 9.1, sketch the variation with time t of the induced e.m.f. E across the terminals (ii)\nof the coil at the speed of rotation. Your line should extend from time t = 0 to increased\ntime t = 20 ms. Assume that E = 0 when t = 0.\n40\nE / V\n20\n0\n0 5 10 15 20\nt / ms\n–20\n–40\nFig. 9.1\n[3]\n© UCLES 2021 9702/43/O/N/21\n23\nState and explain the effect on the motion of the coil in of connecting a load resistor (c) (b)\nacross its terminals.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 9]\n[Turn over © UCLES 2021 9702/43/O/N/21" }, { "id": "9702-2021-on-43-q10", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 10, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 24 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2021-on-43-q10-p01.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q10", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 14 ], "marks": 9 }, "text_excerpt": "State an experimental phenomenon that provides evidence for: 10 (a)\nthe particulate nature of electromagnetic radiation (i)\n..................................................................................................................................... [1]\nthe wave nature of matter. (ii)\n..................................................................................................................................... [1]\nA particle of matter moves with momentum p. (b)\nλ of the particle. State the name of State the equation that gives the effective wavelength (i)\nany other symbols used.\n[2]\nState the name given to the wavelength of the moving particle. (ii)\n..................................................................................................................................... [1]\nElectrons are accelerated from rest through a potential difference (p.d.) of 4.8 kV. (c)\n7 s–1. m Show that the final speed of the electrons is 4.1 10 (i) ×\n[2]\nCalculate the effective wavelength of a beam of electrons moving at the speed in (c)(i). (ii)\nwavelength = ..................................................... m [2]\n[Total: 9]\n© UCLES 2021 9702/43/O/N/21" }, { "id": "9702-2021-on-43-q11", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 11, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 25 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2021-on-43-q11-p01.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q11", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 15 ], "marks": 7 }, "text_excerpt": "State, for an X-ray image, what is meant by: 11 (a)\nsharpness (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\ncontrast. (ii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nA parallel X-ray beam passes through a thickness of 2.3 cm of soft body tissue. The intensity (b)\nof the emerging beam is 12% of the intensity of the incident beam.\nμ of the soft body tissue. Give a unit Calculate the linear attenuation (absorption) coefficient\nwith your answer.\nμ = .......................................... unit ..................... [3]\nIn medical diagnosis, X-rays may be used to produce a single X-ray image or may be used in (c)\ncomputed tomography (CT scanning).\nSuggest an advantage and a disadvantage of CT scanning compared with single X-ray\nimaging for diagnosis.\nadvantage: ................................................................................................................................\n...................................................................................................................................................\ndisadvantage: ...........................................................................................................................\n...................................................................................................................................................\n[2]\n[Total: 7]\n[Turn over © UCLES 2021 9702/43/O/N/21" }, { "id": "9702-2021-on-43-q12", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 12, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_43.pdf?download=true", "source_pages": [ 26, 27, 28 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_43.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2021-on-43-q12-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2021-on-43-q12-p02.png", "9702-topic-23-nuclear-physics/assets/9702-2021-on-43-q12-p03.png" ], "answer": { "status": "available", "id": "9702-2021-on-43-q12", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_43.pdf?download=true", "source_pages": [ 15 ], "marks": 7 }, "text_excerpt": "Define radioactive decay constant. 12 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n131I) 10–10 of mass 5.87 kg has an activity of A sample of radioactive iodine-131 ( (b) ×\n53\n109 Bq. 2.92 ×\nDetermine the decay constant of iodine-131.\n–1 [3] decay constant = ................................................... s\nSuggest reasons why a detector placed near to the sample in would record a count (c) two (b)\n109 counts per second. rate much less than 2.92 ×\n1. ...............................................................................................................................................\n...................................................................................................................................................\n2. ...............................................................................................................................................\n...................................................................................................................................................\n[2]\n[Total: 7]\n© UCLES 2021 9702/43/O/N/21\n27\nBLANK PAGE\n© UCLES 2021 9702/43/O/N/21\n28\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of the University of\nCambridge Local Examinations Syndicate (UCLES), which itself is a department of the University of Cambridge.\n© UCLES 2021 9702/43/O/N/21" }, { "id": "9702-2021-on-51-q01", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "51", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_51.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-on-51-q01-p01.png", "9702-practical-skills/assets/9702-2021-on-51-q01-p02.png", "9702-practical-skills/assets/9702-2021-on-51-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2021-on-51-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_51.pdf?download=true", "source_pages": [ 6, 7, 8 ], "marks": 15 }, "text_excerpt": "A student investigates stationary sound waves in cylindrical tubes. Fig. 1.1 shows a stationary 1\nwave pattern in a tube which is open at both ends.\nL\nd\ncylindrical tube\nFig. 1.1\nThe tube has length L and diameter d. The frequency of the sound for the stationary wave pattern\nshown is f.\nThere are a number of different tubes available.\nIt is suggested that the relationship between f and d is\nv\n= 2L + kd\nf\nwhere v is the speed of sound in air and k is a constant.\nDesign a laboratory experiment to test the relationship between f and d.\nExplain how your results could be used to determine values for k and v.\nYou should draw a diagram, on page 3, showing the arrangement of your equipment. In your\naccount you should pay particular attention to:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2021 9702/51/O/N/21\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n........................................................................................................" }, { "id": "9702-2021-on-51-q02", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "51", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_51.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-on-51-q02-p01.png", "9702-practical-skills/assets/9702-2021-on-51-q02-p02.png", "9702-practical-skills/assets/9702-2021-on-51-q02-p03.png", "9702-practical-skills/assets/9702-2021-on-51-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2021-on-51-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_51.pdf?download=true", "source_pages": [ 9, 10, 11 ], "marks": 15 }, "text_excerpt": "A student investigates the discharge of a capacitor in the circuit shown in Fig. 2.1. 2\nE\nC\nV\nR R\n1 2\nP Q\nFig. 2.1\nThe student closes the switch and charges the capacitor.\nThe switch is opened and a stop-watch is started. The capacitor discharges through the two\nand R connected between P and Q. At a fixed time t the potential resistors of resistance R\n1 2\ndifference V across the capacitor is measured.\nand R . The experiment is repeated for different values of R\n1 2\nand R are related by the equation It is suggested that V, R\n1 2\n⎛V⎞ t\n– ln =\n⎝ ⎠ + R ) C(R E\n1 2\nwhere E is the electromotive force (e.m.f.) of the battery and C is the capacitance of the capacitor.\n1\non the x-axis. A graph is plotted of ln V on the y-axis against (a)\n+ R R\n1 2\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2021 9702/51/O/N/21\n6\nValues of R , R , V and ln V are given in Table 2.1. (b)\n1 2\nEach resistance value has a percentage uncertainty of ± 5%.\nTable 2.1\n1\n10−6 Ω−1 kΩ kΩ kΩ R / R / (R + R ) / V / V ln (V / V) /\n1 2 1 2 + R R\n1 2\n22 33 1.28 0.247\n22 47 1.98 0.683\n22 68 2.87 1.054\n33 47 2.39 0.871\n33 68 3.28 1.188\n47 68 3.55 1.267\n1\n10−6 Ω−1 kΩ Calculate and record values of (R + R ) / and / in Table 2.1.\n1 2 + R R\n1 2\n1\nInclude the absolute uncertainties in (R + R ) and . [2]\n1 2 + R R\n1 2\n1\n10−6 Ω−1. Plot a graph of ln (V / V) against / (c) (i)\n+ R R\n1 2\n1\n. [2] Include error bars for\n+ R R\n1 2\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Both (ii)\nlines should be clearly labelled. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2021 9702/51/O/N/21\n7\n1.3\n1.2\n1.1\nIn (V / V)\n1.0\n0.9\n0.8\n0.7\n0.6\n0.5\n0.4\n0.3\n0.2\n8 10 12 6 14 16 18 20\n1\n10–6 Ω–1 /\nR + R\n1 2\n[Turn over © UCLES 2021 9702/51/O/N/21\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of C and E. Include (d) (i) (c)(iii)\nappropriate units.\nData: t = (60 ± 1) s\nC = ...............................................................\nE = ...............................................................\n[2]\nDetermine the percentage uncertainty in C. (ii)\npercentage uncertainty = ..................................................... % [1]\n+ R ) that The experiment is repeated using the same capacitor. Determine the value of (R (e)\n1 2\nwould give a value of V of 5.0 V at time t = 60 s.\nΩ (R + R ) = ..................................................... [1]\n1 2\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledge" }, { "id": "9702-2021-on-52-q01", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-on-52-q01-p01.png", "9702-practical-skills/assets/9702-2021-on-52-q01-p02.png", "9702-practical-skills/assets/9702-2021-on-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2021-on-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_52.pdf?download=true", "source_pages": [ 6, 7 ], "marks": 15 }, "text_excerpt": "A student investigates the extension of a spring supporting a wooden strip, as shown in Fig. 1.1. 1\nspring\nwire\nβ\nd\nwooden strip\nbench\nθ\nP\nL\nFig. 1.1\nθ to the bench. One end of the strip is at point P. The strip has length L and is at an angle\nβ The spring is attached to the strip by a wire at a distance d from point P. The wire is at an angle\nto the strip. The spring has extension x.\nθ is It is suggested that the relationship between x and\nWL\nθ β = kxd sin cos\n2\nwhere k is the spring constant of the spring and W is a constant.\nθ. Design a laboratory experiment to test the relationship between x and\nExplain how your results could be used to determine a value for W.\nYou should draw a diagram, on page 3, showing the arrangement of your equipment. In your\naccount you should pay particular attention to:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2021 9702/52/O/N/21\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n........................................." }, { "id": "9702-2021-on-52-q02", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-on-52-q02-p01.png", "9702-practical-skills/assets/9702-2021-on-52-q02-p02.png", "9702-practical-skills/assets/9702-2021-on-52-q02-p03.png", "9702-practical-skills/assets/9702-2021-on-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2021-on-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_52.pdf?download=true", "source_pages": [ 8, 9, 10 ], "marks": 15 }, "text_excerpt": "A Geiger–Müller (G–M) tube is a device that can detect beta-radiation. A student places paper 2\nbetween a radioactive source emitting beta-radiation and a G–M tube, as shown in Fig. 2.1.\nG–M tube\npaper\nradioactive source\nto rate-meter\nbench\nFig. 2.1\nThe G–M tube is connected to a rate-meter which records the count rate R.\nThe thickness t of the paper is measured in two different places using a micrometer.\nThe student repeats the experiment for different thicknesses of paper.\nIt is suggested that R and t are related by the equation\ne−μt R = R\n0\nμ where R is the count rate without any paper and is a constant.\n0\nA graph is plotted of ln R on the y-axis against t on the x-axis. (a)\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2021 9702/52/O/N/21\n6\nThe two measurements of thickness are t and t . Values of t , t and R are given in Table 2.1. (b)\n1 2 1 2\nTable 2.1\ns−1 s−1) t / mm t / mm average t / mm R / ln (R /\n1 2\n0.19 0.13 47.7\n0.22 0.28 44.0\n0.39 0.45 38.2\n0.58 0.54 34.3\n0.64 0.68 31.7\n0.78 0.74 29.7\ns−1) in Table 2.1. Calculate and record values of average t / mm and ln (R /\nInclude the absolute uncertainties in average t. [2]\ns−1) against average t / mm. Plot a graph of ln (R / (c) (i)\nInclude error bars for average t. [2]\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Both (ii)\nlines should be clearly labelled. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2021 9702/52/O/N/21\n7\n3.90\n3.85\n3.80\ns–1) In (R /\n3.75\n3.70\n3.65\n3.60\n3.55\n3.50\n3.45\n3.40\n3.35\n0.2 0.3 0.4 0.1 0.5 0.6 0.7 0.8\n/ mm t\n[Turn over © UCLES 2021 9702/52/O/N/21\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nμ and R . Include the Using your answers to (a), and (c)(iv), determine the values of (d) (c)(iii)\n0\nabsolute uncertainties in your values and include appropriate units.\nμ = ...............................................................\n= ............................................................... R\n0\n[3]\nThe experiment is repeated using a different thickness of paper. (e)\n−1. Determine the value of t that would give a value of R of 20.0 s\nt = .................................................. mm [1]\n[Total: 15]\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible " }, { "id": "9702-2021-on-53-q01", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "53", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_53.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-on-53-q01-p01.png", "9702-practical-skills/assets/9702-2021-on-53-q01-p02.png", "9702-practical-skills/assets/9702-2021-on-53-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2021-on-53-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_53.pdf?download=true", "source_pages": [ 6, 7, 8 ], "marks": 15 }, "text_excerpt": "A student investigates stationary sound waves in cylindrical tubes. Fig. 1.1 shows a stationary 1\nwave pattern in a tube which is open at both ends.\nL\nd\ncylindrical tube\nFig. 1.1\nThe tube has length L and diameter d. The frequency of the sound for the stationary wave pattern\nshown is f.\nThere are a number of different tubes available.\nIt is suggested that the relationship between f and d is\nv\n= 2L + kd\nf\nwhere v is the speed of sound in air and k is a constant.\nDesign a laboratory experiment to test the relationship between f and d.\nExplain how your results could be used to determine values for k and v.\nYou should draw a diagram, on page 3, showing the arrangement of your equipment. In your\naccount you should pay particular attention to:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2021 9702/53/O/N/21\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n........................................................................................................" }, { "id": "9702-2021-on-53-q02", "subject": "9702", "year": 2021, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "53", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_qp_53.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2021-Oct-Nov/qp/9702_w21_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2021-on-53-q02-p01.png", "9702-practical-skills/assets/9702-2021-on-53-q02-p02.png", "9702-practical-skills/assets/9702-2021-on-53-q02-p03.png", "9702-practical-skills/assets/9702-2021-on-53-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2021-on-53-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2021-Oct-Nov/ms/9702_w21_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2021-Oct-Nov/9702_w21_ms_53.pdf?download=true", "source_pages": [ 9, 10, 11 ], "marks": 15 }, "text_excerpt": "A student investigates the discharge of a capacitor in the circuit shown in Fig. 2.1. 2\nE\nC\nV\nR R\n1 2\nP Q\nFig. 2.1\nThe student closes the switch and charges the capacitor.\nThe switch is opened and a stop-watch is started. The capacitor discharges through the two\nand R connected between P and Q. At a fixed time t the potential resistors of resistance R\n1 2\ndifference V across the capacitor is measured.\nand R . The experiment is repeated for different values of R\n1 2\nand R are related by the equation It is suggested that V, R\n1 2\n⎛V⎞ t\n– ln =\n⎝ ⎠ + R ) C(R E\n1 2\nwhere E is the electromotive force (e.m.f.) of the battery and C is the capacitance of the capacitor.\n1\non the x-axis. A graph is plotted of ln V on the y-axis against (a)\n+ R R\n1 2\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2021 9702/53/O/N/21\n6\nValues of R , R , V and ln V are given in Table 2.1. (b)\n1 2\nEach resistance value has a percentage uncertainty of ± 5%.\nTable 2.1\n1\n10−6 Ω−1 kΩ kΩ kΩ R / R / (R + R ) / V / V ln (V / V) /\n1 2 1 2 + R R\n1 2\n22 33 1.28 0.247\n22 47 1.98 0.683\n22 68 2.87 1.054\n33 47 2.39 0.871\n33 68 3.28 1.188\n47 68 3.55 1.267\n1\n10−6 Ω−1 kΩ Calculate and record values of (R + R ) / and / in Table 2.1.\n1 2 + R R\n1 2\n1\nInclude the absolute uncertainties in (R + R ) and . [2]\n1 2 + R R\n1 2\n1\n10−6 Ω−1. Plot a graph of ln (V / V) against / (c) (i)\n+ R R\n1 2\n1\n. [2] Include error bars for\n+ R R\n1 2\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Both (ii)\nlines should be clearly labelled. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2021 9702/53/O/N/21\n7\n1.3\n1.2\n1.1\nIn (V / V)\n1.0\n0.9\n0.8\n0.7\n0.6\n0.5\n0.4\n0.3\n0.2\n8 10 12 6 14 16 18 20\n1\n10–6 Ω–1 /\nR + R\n1 2\n[Turn over © UCLES 2021 9702/53/O/N/21\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of C and E. Include (d) (i) (c)(iii)\nappropriate units.\nData: t = (60 ± 1) s\nC = ...............................................................\nE = ...............................................................\n[2]\nDetermine the percentage uncertainty in C. (ii)\npercentage uncertainty = ..................................................... % [1]\n+ R ) that The experiment is repeated using the same capacitor. Determine the value of (R (e)\n1 2\nwould give a value of V of 5.0 V at time t = 60 s.\nΩ (R + R ) = ..................................................... [1]\n1 2\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledge" }, { "id": "9702-2022-m-42-q01", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 5, 6, 7 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2022-m-42-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2022-m-42-q01-p02.png", "9702-topic-13-gravitational-fields/assets/9702-2022-m-42-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 6, 7 ], "marks": 10 }, "text_excerpt": "The point P in Fig. 1.1 represents a point mass. 1 (a)\nOn Fig. 1.1, draw lines to represent the gravitational field around P.\nP\nFig. 1.1\n[2]\nA moon is in circular orbit around a planet. (b)\nExplain why the path of the moon is circular.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Turn over © UCLES 2022 9702/42/F/M/22\n6\nMany moons are in circular orbit about a planet. (c)\nω when the orbit of the moon has a radius r about the The angular velocity of a moon is\nplanet.\n3 2 ω with 1 / for these moons. Fig. 1.2 shows the variation of r\n4\nr3 1023 m3 /\n3\n2\n1\n0\n0 1 2 3 4 5 6\n1\n107 rad–2 s2 /\n2 ω\nFig. 1.2\nShow that the mass M of the planet is given by the expression (i)\ngradient\nM =\nG\nwhere G is the gravitational constant.\n[2]\n© UCLES 2022 9702/42/F/M/22\n7\nUse Fig. 1.2 and the expression in to show that the mass M of the planet is (ii) (c)(i)\n1026 × kg. 1.0\n[1]\nDetermine the speed of a moon in orbit around the planet with an orbital radius of (iii)\n108 × m. 1.2\ns–1 [3] speed = ................................................ m\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/F/M/22" }, { "id": "9702-2022-m-42-q02", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2022-m-42-q02-p01.png", "9702-topic-16-thermodynamics/assets/9702-2022-m-42-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q02", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 7, 8 ], "marks": 10 }, "text_excerpt": "A fixed mass of an ideal gas has a volume V and a pressure p. 2\nThe gas undergoes a cycle of changes, X to Y to Z to X, as shown in Fig. 2.1.\nZ\np\nY X\n0\n0\nV\nFig. 2.1\nTable 2.1 shows data for p, V and temperature T for the gas at points X, Y and Z.\nTable 2.1\n105 10–3 m3 p / Pa V / T / K\nX 1.5 4.2 540\nY 230\nZ 5.1 782\nΔU State the change in internal energy for one complete cycle, XYZX. (a)\nΔU = ....................................................... J [1]\nCalculate the amount n of gas. (b)\nn = ................................................... mol [2]\n© UCLES 2022 9702/42/F/M/22\n9\nComplete Table 2.1. (c)\nUse the space below for any working.\n[2]\nThe first law of thermodynamics for a system may be represented by the equation (d) (i)\nΔU = q + W.\nState, with reference to the system, what is meant by:\nΔU : ....................................................................................................................................\nq : .......................................................................................................................................\nW : .....................................................................................................................................\n[3]\nExplain how the first law of thermodynamics applies to the change Z to X. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/F/M/22" }, { "id": "9702-2022-m-42-q03", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 10, 11, 12 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2022-m-42-q03-p01.png", "9702-topic-17-oscillations/assets/9702-2022-m-42-q03-p02.png", "9702-topic-17-oscillations/assets/9702-2022-m-42-q03-p03.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q03", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 10 }, "text_excerpt": "A small wooden block (cuboid) of mass m floats in water, as shown in Fig. 3.1. 3\nwooden block mass m\nwater\nρ density\nFig. 3.1\nρ. The top face of the block is horizontal and has area A. The density of the water is\nState the names of the two forces acting on the block when it is stationary. (a)\n............................................................................................................................................. [1]\nThe block is now displaced downwards as shown in Fig. 3.2 so that the surface of the water is (b)\nhigher up the block.\nnew position of\nwater surface\noriginal position of\nwater surface\nFig. 3.2\nState and explain the direction of the resultant force acting on the wooden block in this\nposition.\n...................................................................................................................................................\n............................................................................................................................................. [1]\n© UCLES 2022 9702/42/F/M/22\n11\nThe block in is now released so that it oscillates vertically. (c) (b)\nThe resultant force F acting on the block is given by\n–Agρx F =\nwhere g is the gravitational field strength and x is the vertical displacement of the block from\nthe equilibrium position.\nExplain why the oscillations of the block are simple harmonic. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nω of the oscillations is given by Show that the angular frequency (ii)\nAρ g\nω = .\nm\n[2]\n[Turn over © UCLES 2022 9702/42/F/M/22\n12\nThe block is now placed in a liquid with a greater density. The block is displaced and released (d)\nso that it oscillates vertically. The variation with displacement x of the acceleration a of the\nblock is measured for the first half oscillation, as shown in Fig. 3.3.\n3\ns–2 / m a\n2\n1\n0\n–0.02 –0.01 0 0.01 0.02\n/ m x\n–1\n–2\nFig. 3.3\nExplain why the maximum negative displacement of the block is not equal to its maximum (i)\npositive displacement.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\nThe mass of the block is 0.57 kg. (ii)\nΔE Use Fig. 3.3 to determine the decrease in energy of the oscillation for the first half\noscillation.\nE = ....................................................... J [" }, { "id": "9702-2022-m-42-q04", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 6, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 13, 14 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2022-m-42-q04-p01.png", "9702-topic-18-electric-fields/assets/9702-2022-m-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q04", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 6 }, "text_excerpt": "State what is represented by an electric field line. 4 (a)\n...................................................................................................................................................\n............................................................................................................................................. [2]\nTwo point charges P and Q are placed 0.120 m apart as shown in Fig. 4.1. (b)\n0.120 m\nQ P\nnC –7.2 nC +4.0\nFig. 4.1\nThe charge of P is +4.0 nC and the charge of Q is –7.2 nC. (i)\nDetermine the distance from P of the point on the line joining the two charges where the\nelectric potential is zero.\ndistance = ...................................................... m [2]\nState and explain, without calculation, whether the electric field strength is zero at the (ii)\nsame point at which the electric potential is zero.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Turn over © UCLES 2022 9702/42/F/M/22\n14\nAn electron is positioned at point X, equidistant from both P and Q, as shown in Fig. 4.2. (iii)\nP Q\nX\nFig. 4.2\nOn Fig. 4.2, draw an arrow to represent the direction of the resultant force acting on the\nelectron. [1]\n[Total: 6]\n© UCLES 2022 9702/42/F/M/22" }, { "id": "9702-2022-m-42-q05", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 15, 16, 17 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2022-m-42-q05-p01.png", "9702-topic-19-capacitance/assets/9702-2022-m-42-q05-p02.png", "9702-topic-19-capacitance/assets/9702-2022-m-42-q05-p03.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q05", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 10 ], "marks": 10 }, "text_excerpt": "The variation with potential difference V of the charge Q on one of the plates of a capacitor is 5\nshown in Fig. 5.1.\n1.8\n1.6\n10–4 Q / C\n1.4\n1.2\n1.0\n0.8\n0.6\n0.4\n0.2\n0\n0 2 4 6 8 10 12\n/ V V\nFig. 5.1\nThe capacitor is connected to an 8.0 V power supply and two resistors R and S as shown in\nFig. 5.2.\n8.0 V\nR\nkΩ 25\nX\nY\nS\nkΩ 220\nFig. 5.2\nkΩ kΩ. The resistance of R is 25 and the resistance of S is 220\nThe switch can be in either position X or position Y.\n[Turn over © UCLES 2022 9702/42/F/M/22\n16\nThe switch is in position X so that the capacitor is fully charged. (a)\nCalculate the energy E stored in the capacitor.\nE = ....................................................... J [2]\nThe switch is now moved to position Y. (b)\nShow that the time constant of the discharge circuit is 3.3 s. (i)\n[2]\nThe fully charged capacitor in stores energy E. (ii) (a)\nDetermine the time t taken for the stored energy to decrease from E to E / 9.\nt = ....................................................... s [4]\n© UCLES 2022 9702/42/F/M/22\n17\nA second identical capacitor is connected in parallel with the first capacitor. (c)\nState and explain the change, if any, to the time constant of the discharge circuit.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/F/M/22" }, { "id": "9702-2022-m-42-q06", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2022-m-42-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2022-m-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 11 ], "marks": 7 }, "text_excerpt": "10–3 m2 × A small solenoid of area of cross section 1.6 is placed inside a larger solenoid of area of 6\n10–3 m2, × as shown in Fig. 6.1. cross-section 6.4\nsmaller solenoid\nlarger solenoid\narea of cross-section\narea of cross-section\n10–3 m2 1.6 ×\n10–3 m2 6.4 ×\n3000 turns\n600 turns\nd.c.\n(not to scale) Fig. 6.1\nThe larger solenoid has 600 turns and is attached to a d.c. power supply to create a magnetic\nfield.\nThe smaller solenoid has 3000 turns.\nCompare the magnetic flux in the two solenoids. (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\nCompare the magnetic flux linkage in the two solenoids. (b)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\nState Lenz’s law of electromagnetic induction. (c) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2022 9702/42/F/M/22\n19\nThe terminals of the smaller solenoid are connected together. The smaller solenoid is (ii)\nthen removed from inside the larger solenoid.\nWith reference to magnetic fields, explain why a force is needed to remove the smaller\nsolenoid.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n......................................................................................................................" }, { "id": "9702-2022-m-42-q07", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 6, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2022-m-42-q07-p01.png", "9702-topic-21-alternating-currents/assets/9702-2022-m-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q07", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 11, 12 ], "marks": 6 }, "text_excerpt": "Alternating current (a.c.) is converted into direct current (d.c.) using a full-wave rectification 7 (a)\ncircuit. Part of the diagram of this circuit is shown in Fig. 7.1.\nd.c. output\na.c. input\nFig. 7.1\nComplete the circuit in Fig. 7.1 by adding the necessary components in the gaps. [1] (i)\nOn Fig. 7.1 mark with a + the positive output terminal of the rectifier. [1] (ii)\nThe output voltage V of an a.c. power supply varies sinusoidally with time t as shown in (b)\nFig. 7.2.\n4\n/ V voltage\n2\n0\n0 2 4 6 8 10\ntime / s\n–2\n–4\nFig. 7.2\nDetermine the equation for V in terms of t, where V is in volts and t is in seconds. (i)\nV = ......................................................... [2]\n© UCLES 2022 9702/42/F/M/22\n21\nΩ The supply is connected to a 12 resistor. Calculate the mean power dissipated in the (ii)\nresistor.\nmean power = ..................................................... W [2]\n[Total: 6]\n[Turn over © UCLES 2022 9702/42/F/M/22" }, { "id": "9702-2022-m-42-q08", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 22, 23 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2022-m-42-q08-p01.png", "9702-topic-22-quantum-physics/assets/9702-2022-m-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 12 ], "marks": 7 }, "text_excerpt": "λ State the formula for the de Broglie wavelength of a moving particle. 8 (a)\nState the meaning of any other symbol used.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nElectrons accelerate through a potential difference, pass through a thin crystal and are then (b)\nincident on a fluorescent screen.\nThe pattern in Fig. 8.1 is observed on the fluorescent screen.\nedge of screen\nnot to scale Fig. 8.1\nState the name of the phenomenon shown by the electrons at the crystal. (i)\n..................................................................................................................................... [1]\nState what this phenomenon shows about the nature of electrons. (ii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nSuggest why the thin crystal causes the phenomenon in (b)(i). (iii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\n© UCLES 2022 9702/42/F/M/22\n23\nThe electron is accelerated through a different potential difference. The new pattern (iv)\nobserved on the screen is shown in Fig. 8.2.\nedge of screen\nnot to scale Fig. 8.2\nState and explain the change that has been made to the potential difference to create\nthe pattern shown in Fig. 8.2.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 7]\n[Turn over © UCLES 2022 9702/42/F/M/22" }, { "id": "9702-2022-m-42-q09", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 24, 25 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2022-m-42-q09-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2022-m-42-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q09", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 13, 14 ], "marks": 11 }, "text_excerpt": "(211Po) Polonium-211 decays by alpha emission to form a stable isotope of lead (Pb). 9\n84\nComplete the equation for this decay. (a)\n........ ........\n211 α Po Pb +\n84 ........ ........\n[2]\nThe variation with time t of the number of unstable nuclei N in a sample of polonium-211 is (b)\nshown in Fig. 9.1.\n24\n22\n20\n1012 N /\n18\n16\n14\n12\n10\n8\n6\n4\n2\n0\n0 0.2 0.4 0.6 0.8 1.0 1.2\nt / s\nFig. 9.1\nAt time t = 0, the sample contains only polonium-211.\nλ of polonium-211. Give a unit with your Use Fig. 9.1 to determine the decay constant (i)\nanswer.\nλ = .............................. unit .................. [2]\n© UCLES 2022 9702/42/F/M/22\n25\nUse your answer in to calculate the activity at time t = 0 of the sample of (ii) (b)(i)\npolonium-211.\nactivity = .................................................... Bq [1]\nOn Fig. 9.1, sketch a line to show the variation with t of the number of lead nuclei in the (iii)\nsample. [2]\nEach decay releases an alpha particle with energy 6900 keV. (c)\nCalculate, in J, the total amount of energy given to alpha particles that are emitted (i)\nbetween time t = 0.30 s and time t = 0.90 s.\nenergy = ....................................................... J [3]\nSuggest why the total amount of energy released by the decay process between time (ii)\nt = 0.30 s and time t = 0.90 s is greater than your answer in (c)(i).\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 11]\n[Turn over © UCLES 2022 9702/42/F/M/22" }, { "id": "9702-2022-m-42-q10", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 26, 27 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2022-m-42-q10-p01.png", "9702-topic-14-temperature/assets/9702-2022-m-42-q10-p02.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q10", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 14, 15 ], "marks": 7 }, "text_excerpt": "In an X-ray tube, electrons are accelerated through a potential difference of 75 kV. The electrons 10\nthen strike a tungsten target of effective mass 15 g.\nThe electron energy is converted into the energy of X-ray photons with an efficiency of 5.0%. The\nrest of the energy is converted into thermal energy.\nThe X-ray tube produces an image using a current of 0.40 A for a time of 20 ms. (a)\n–1 K–1. The specific heat capacity of tungsten is 130 J kg\nΔT Determine the temperature rise of the tungsten target.\nΔT = ...................................................... K [3]\n–1. The linear attenuation coefficient of the X-ray photons in muscle is 0.22 cm (b)\nCalculate the thickness t of muscle that will absorb 80% of the incident X-ray intensity.\nt = .................................................... cm [2]\n© UCLES 2022 9702/42/F/M/22\n27\nμ Table 10.1 shows the linear attenuation coefficient for the X-ray photons in different tissues. (c)\nTable 10.1\n–1 / cm μ\nbone 3.0\nblood 0.23\nmuscle 0.22\nTwo X-ray images are taken, one of equal thicknesses of bone and muscle and another of\nequal thicknesses of blood and muscle.\nExplain why one of these images has good contrast, but the other does not.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 7]\n[Turn over © UCLES 2022 9702/42/F/M/22" }, { "id": "9702-2022-m-42-q11", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 11, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 28, 29 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2022-m-42-q11-p01.png", "9702-topic-24-medical-physics/assets/9702-2022-m-42-q11-p02.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q11", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 15, 16 ], "marks": 9 }, "text_excerpt": "Positron emission tomography (PET scanning) obtains diagnostic information from a person. The 11\ninformation is used to form an image.\nPET scanning uses a tracer. (a)\nExplain what is meant by a tracer.\n...................................................................................................................................................\n............................................................................................................................................. [1]\nPET scanning involves annihilation. (b)\nExplain what is meant by annihilation. (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nState the names of the particles involved in the annihilation process. (ii)\n..................................................................................................................................... [1]\nCalculate the total energy released in one annihilation event in (b). (c) (i)\nenergy = ....................................................... J [1]\nCalculate the wavelength of each gamma photon released. (ii)\nwavelength = ...................................................... m [2]\n© UCLES 2022 9702/42/F/M/22\n29\nExplain how the gamma photons are used to produce an image. (d)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 9]\n[Turn over © UCLES 2022 9702/42/F/M/22" }, { "id": "9702-2022-m-42-q12", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 12, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_42.pdf?download=true", "source_pages": [ 30, 31, 32 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_42.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-m-42-q12-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-m-42-q12-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-m-42-q12-p03.png" ], "answer": { "status": "available", "id": "9702-2022-m-42-q12", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_42.pdf?download=true", "source_pages": [ 16, 17 ], "marks": 7 }, "text_excerpt": "State what is meant by luminosity of a star. 12 (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\n26 × W. The distance between the Earth and the Sun is The luminosity of the Sun is 3.83 10 (b)\n1011 × m. 1.51\nCalculate the radiant flux intensity F of the Sun at the Earth. Give a unit with your answer.\nF = .............................. unit .................. [2]\nUse data from to calculate the mass that is converted into energy every second in the (c) (b)\nSun.\nmass = ..................................................... kg [1]\n8 × m. The radius of the Sun is 6.96 10 (d)\nShow that the temperature T of the surface of the Sun is 5770 K.\n[1]\n© UCLES 2022 9702/42/F/M/22\n31\nλ The wavelength of light for which the maximum rate of emission occurs from the Sun is (e)\nmax\n10–7 × m. 5.00\nThe temperature of the surface of the star Sirius is 9940 K.\nUse information from to determine the wavelength of light for which the maximum rate of (d)\nemission occurs from Sirius.\nwavelength = ...................................................... m [2]\n[Total: 7]\n© UCLES 2022 9702/42/F/M/22\n32\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge\nLocal Examinations Syndicate (UCLES), which is a department of the University of Cambridge.\n© UCLES 2022 9702/42/F/M/22" }, { "id": "9702-2022-m-52-q01", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-m-52-q01-p01.png", "9702-practical-skills/assets/9702-2022-m-52-q01-p02.png", "9702-practical-skills/assets/9702-2022-m-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2022-m-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_52.pdf?download=true", "source_pages": [ 6, 7, 8 ], "marks": 15 }, "text_excerpt": "A trolley with a magnet attached is placed on a thin steel sheet as shown in Fig. 1.1. 1\ntrolley\nmagnet\nS\nN\nd\nsteel sheet\nX bench\nθ\nFig. 1.1\nθ. The distance from point X to the trolley is d. The angle between the sheet and the bench is\nThe trolley is released from rest and travels down the slope. The velocity v of the trolley at X is\ndetermined using a light gate.\nθ by the relationship It is suggested that v is related to\n2 mv\nθ – qB = mp sin\n2d\nwhere m is the mass of the trolley and magnet, B is the magnetic flux density between the magnet\nand the steel sheet, and p and q are constants.\nθ. Plan a laboratory experiment to test the relationship between v and\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for p and q.\nIn your plan you should include:\n• the procedure to be followed\n• the measurements to be taken\n• the control of variables\n• the analysis of the data\n• any safety precautions to be taken.\n© UCLES 2022 9702/52/F/M/22\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n........................" }, { "id": "9702-2022-m-52-q02", "subject": "9702", "year": 2022, "session": "March", "session_code": "m", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2022-Feb-March/qp/9702_m22_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-m-52-q02-p01.png", "9702-practical-skills/assets/9702-2022-m-52-q02-p02.png", "9702-practical-skills/assets/9702-2022-m-52-q02-p03.png", "9702-practical-skills/assets/9702-2022-m-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2022-m-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-Feb-March/ms/9702_m22_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Feb-March/9702_m22_ms_52.pdf?download=true", "source_pages": [ 8, 9, 10 ], "marks": 15 }, "text_excerpt": "A student investigates a circuit containing a capacitor and a resistor as shown in Fig. 2.1. 2\nC\na.c.\nto dual-beam power\noscilloscope supply\nR\nFig. 2.1\nA dual‑beam oscilloscope is connected across the capacitor of capacitance C and resistor of\nresistance R. The oscilloscope displays two traces as shown in Fig. 2.2.\nFig. 2.2\nθ between the two traces. The student determines the phase difference\nThe student repeats the experiment with different resistors.\nθ and R are related by the equation It is suggested that\n1\nθ = tan\n2πfCR\nwhere f is the frequency of the a.c. power supply.\n1\nθ on the y‑axis against on the x‑axis. A graph is plotted of tan (a)\nR\nDetermine an expression for the gradient.\ngradient = ......................................................... [1]\n[Turn over © UCLES 2022 9702/52/F/M/22\n6\nθ Values of R and are given in Table 2.1. (b)\nEach value of R has a percentage uncertainty of ± 5%.\nTable 2.1\n1\n10–3 Ω–1 Ω θ θ R / / ° tan /\nR\n12 80.8\n16 77.5\n22 73.0\n33 65.2\n39 61.7\n43 59.3\n1\n10–3 Ω–1 θ Calculate and record values of and tan in Table 2.1. /\nR\n1\n. [2] Include the absolute uncertainties in\nR\n1\n10–3 Ω–1. θ against / Plot a graph of tan (c) (i)\nR\n1\n. [2] Include error bars for\nR\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2022 9702/52/F/M/22\n7\n6.5\n6.0\n5.5\n5.0\n4.5\n4.0\nθ tan\n3.5\n3.0\n2.5\n2.0\n1.5\n1.0\n90 20 30 40 50 60 70 80\n1\n–3 –1 Ω / 10\nR\n[Turn over © UCLES 2022 9702/52/F/M/22\n8\nThe student measured the frequency of the a.c. power supply twice. The student’s values (d)\nwere 101 Hz and 97 Hz.\nDetermine the average frequency f of the power supply. Include the absolute uncertainty in f.\nf = .................................................... Hz [1]\nUsing your answers to (a), and (d), determine the value of C. Include an (e) (i) (c)(iii)\nappropriate unit.\nC = ......................................................... [2]\nDetermine the percentage uncertainty in C. (ii)\npercentage uncertainty in C = ......................................................% [1]\nThe experiment is repeated using the same power supply and capacitor. (f)\nDetermine the resistance of R that would give a phase difference of 40°. Include the absolute\nuncertainty in your answer.\nΩ R = ...................................................... [2]\n[Total: 15]\nTo avoid the issue of disclosure of answer‑related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\n© UCLES 2022 9702/52/F/M/22" }, { "id": "9702-2022-mj-41-q01", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_41.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_41.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2022-mj-41-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2022-mj-41-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-41-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_41.pdf?download=true", "source_pages": [ 7 ], "marks": 10 }, "text_excerpt": "State Newton’s law of gravitation. 1 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nUse Newton’s law of gravitation to show that the gravitational field strength g at a (ii)\ndistance r away from a point mass M is given by\nGM\n. g =\n2 r\n[2]\n1024 106 × × kg and a radius of 6.37 m. The Earth has a mass of 5.98 (b)\n1022 106 × × kg and a radius of 1.74 m. The Moon has a mass of 7.35\nThe Earth and the Moon can both be considered as point masses at their centres. Their\n108 × m apart. centres are a distance of 3.84\nShow that the gravitational field strength at the surface of the Moon due to the mass of (i)\nkg–1. the Moon is 1.62 N\n[1]\nExplain why there is a point X on the line between the centres of the Earth and the Moon (ii)\nwhere the resultant gravitational field strength due to the Earth and the Moon is zero.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2022 9702/41/M/J/22\n5\nCalculate the distance x of point X from the centre of the Moon. (iii)\nx = ..................................................... m [3]\n[Total: 10]\n[Turn over © UCLES 2022 9702/41/M/J/22" }, { "id": "9702-2022-mj-41-q02", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 2, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_41.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2022-mj-41-q02-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2022-mj-41-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-41-q02", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_41.pdf?download=true", "source_pages": [ 8 ], "marks": 8 }, "text_excerpt": "10–10 × A sphere of mass 1.6 kg has a charge of +0.27 nC. The sphere is in a uniform electric field 2\nthat acts vertically upwards, as shown in the side view in Fig. 2.1.\nSIDE VIEW\nelectric field lines\nplane in which\nsphere moves\nsphere\nFig. 2.1\nThe force exerted on the sphere by the electric field causes the sphere to remain at a fixed vertical\nheight in a horizontal plane.\nThere is a uniform magnetic field in the region of the electric field. The sphere moves at a speed of\n–1 in the horizontal plane. The magnetic field causes the sphere to move in a circular path 0.78 m s\nof radius 3.4 m, as shown in the view from above in Fig. 2.2.\nVIEW FROM ABOVE\nelectric field lines\nout of the page 3.4 m\npath of sphere\nsphere\nFig. 2.2\n© UCLES 2022 9702/41/M/J/22\n7\nDetermine the direction of the uniform magnetic field. (a) (i)\n..................................................................................................................................... [1]\nExplain why the motion of the sphere in the horizontal plane is circular. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nCalculate the strength of the uniform electric field. (b)\n–1 [2] electric field strength = ............................................... N C\nBy considering the magnetic force on the sphere, show that the flux density of the uniform (c)\nmagnetic field is 0.14 T.\n[3]\n[Total: 8]\n[Turn over © UCLES 2022 9702/41/M/J/22" }, { "id": "9702-2022-mj-41-q03", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_41.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_41.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2022-mj-41-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2022-mj-41-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-41-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_41.pdf?download=true", "source_pages": [ 9 ], "marks": 11 }, "text_excerpt": "A fixed mass of an ideal gas is initially at a temperature of 17 °C. 3\nm3 105 × and a pressure of 1.2 Pa. The gas has a volume of 0.24\nState what is meant by an ideal gas. (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nCalculate the amount n of gas. (ii)\nn = .................................................. mol [2]\nThe gas undergoes three successive changes, as shown in Fig. 3.1. (b)\n4.0\nC\n105 pressure / Pa\n3.0\n2.0\nB A\n1.0\n0\n0.08 0.12 0.16 0.04 0.20 0.24 0.28\nm3 volume /\nFig. 3.1\nThe initial state is represented by point A. The gas is cooled at constant pressure to point B\nby the removal of 48.0 kJ of thermal energy.\nThe gas is then heated at constant volume to point C.\nFinally, the gas expands at constant temperature back to its original pressure and volume at\npoint A. During this expansion, the gas does 31.6 kJ of work.\n© UCLES 2022 9702/41/M/J/22\n9\nShow that the magnitude of the work done during the change AB is 19.2 kJ. (i)\n[2]\nComplete Table 3.1 to show the work done on the gas, the thermal energy supplied to (ii)\nthe gas and the increase in internal energy of the gas, for each of the changes AB, BC\nand CA.\nTable 3.1\nwork done thermal energy increase in internal\nchange\non gas / kJ supplied to gas / kJ energy of gas / kJ\nAB – 48.0\nBC\nCA – 31.6\n[5]\n[Total: 11]\n[Turn over © UCLES 2022 9702/41/M/J/22" }, { "id": "9702-2022-mj-41-q04", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_41.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_41.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2022-mj-41-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2022-mj-41-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-41-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_41.pdf?download=true", "source_pages": [ 10 ], "marks": 8 }, "text_excerpt": "A pendulum consists of a bob (small metal sphere) attached to the end of a piece of string. The 4\nother end of the string is attached to a fixed point. The bob oscillates with small oscillations about\nits equilibrium position, as shown in Fig. 4.1.\nstring\nL\nequilibrium\nbob position\nx\noscillations\n(not to scale) Fig. 4.1\nThe length L of the pendulum, measured from the fixed point to the centre of the bob, is 1.24 m.\nThe acceleration a of the bob varies with its displacement x from the equilibrium position as shown\nin Fig. 4.2.\n0.4\ns–2 a / m\n0.2\n0\n–0.06 –0.04 –0.02 0 0.02 0.04 0.06\nx / m\n–0.2\n–0.4\nFig. 4.2\n© UCLES 2022 9702/41/M/J/22\n11\nState how Fig. 4.2 shows that the motion of the pendulum is simple harmonic. (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nω of the oscillations. Use Fig. 4.2 to determine the angular frequency (b) (i)\ns–1 ω = .............................................. rad [2]\nω is related to the length L of the pendulum by The angular frequency (ii)\nk\nω =\nL\nwhere k is a constant.\nUse your answer in to determine k. Give a unit with your answer. (b)(i)\nk = .................................... unit .............. [2]\nWhile the pendulum is oscillating, the length of the string is increased in such a way that the (c)\ntotal energy of the oscillations remains constant.\nSuggest and explain the qualitative effect of this change on the amplitude of the oscillations.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 8]\n[Turn over © UCLES 2022 9702/41/M/J/22" }, { "id": "9702-2022-mj-41-q05", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 5, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_41.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_41.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2022-mj-41-q05-p01.png", "9702-topic-21-alternating-currents/assets/9702-2022-mj-41-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-41-q05", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_41.pdf?download=true", "source_pages": [ 11 ], "marks": 12 }, "text_excerpt": "kΩ, Fig. 5.1 shows four diodes and a load resistor of resistance 1.2 connected in a circuit that is 5\nused to produce rectification of an alternating voltage.\nP\nX\nV\nkΩ 1.2 V IN\nOUT\nY\nQ\nFig. 5.1\nState what is meant by rectification. (a) (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nState the type of rectification produced by the circuit in Fig. 5.1. (ii)\n..................................................................................................................................... [1]\nis applied across the input terminals X and Y. The variation A sinusoidal alternating voltage V (b)\nIN\nis given by the equation with time t of V\nIN\n25πt = 6.0 sin V\nIN\nis in volts and t is in seconds. where V\nIN\nOn Fig. 5.1, label the output terminals P and Q with the appropriate symbols to indicate (i)\n. [1] the polarity of the output voltage V\nOUT\n© UCLES 2022 9702/41/M/J/22\n13\nThe magnitude of the output voltage V varies with t as shown in Fig. 5.2. (ii)\nOUT\nV / V\nOUT\n0\n0\nt / s\nFig. 5.2\nOn Fig. 5.2, label both of the axes with the correct scales. Use the space below for any\nworking that you need.\n[3]\nThe output voltage in is smoothed by adding a capacitor to the circuit in Fig. 5.1. (c) (b)\nThe difference between the maximum and minimum values of the smoothed output voltage is\n10% of the peak voltage.\nOn Fig. 5.1, draw the circuit symbol for a capacitor showing the capacitor correctly (i)\nconnected into the circuit. [1]\nOn Fig. 5.2, sketch the variation with t of the smoothed output voltage. [2] (ii)\nCalculate the capacitance C of the capacitor. (iii)\nC = ...................................................... F [3]\n[Total: 12]\n[Turn over © UCLES 2022 9702/41/M/J/22" }, { "id": "9702-2022-mj-41-q06", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_41.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2022-mj-41-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2022-mj-41-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-41-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_41.pdf?download=true", "source_pages": [ 12 ], "marks": 11 }, "text_excerpt": "Define magnetic flux. 6 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA square coil of wire of side length 12 cm consists of 8 insulated turns. The coil is stationary (b)\nin a uniform magnetic field. The plane of the coil is perpendicular to the magnetic field, as\nshown in Fig. 6.1.\nmagnetic field lines\ninto the page\ncm 12\nsquare coil\n8 turns\nterminals\nFig. 6.1\nThe flux density B of the magnetic field varies with time t as shown in Fig. 6.2.\n400\n/ mT B\n200\n0\n0 0.2 0.4 0.6 0.8\nt / s\nFig. 6.2\n© UCLES 2022 9702/41/M/J/22\n15\nDetermine the magnetic flux linkage inside the coil at time t = 0.60 s. Give a unit with (i)\nyour answer.\nmagnetic flux linkage = .................................... unit .............. [3]\nState how Fig. 6.2 shows that the electromotive force (e.m.f.) E induced across the (ii)\nterminals between t = 0 and t = 0.60 s is constant.\n..................................................................................................................................... [1]\nCalculate the magnitude of E. (iii)\nE = ...................................................... V [2]\nThe procedure in is repeated, but this time the terminals of the coil are connected together. (c) (b)\nState and explain the effect on the coil of connecting the terminals together during the change\nof magnetic flux density shown in Fig. 6.2.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 11]\n[Turn over © UCLES 2022 9702/41/M/J/22" }, { "id": "9702-2022-mj-41-q07", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 7, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_41.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_41.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2022-mj-41-q07-p01.png", "9702-topic-22-quantum-physics/assets/9702-2022-mj-41-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-41-q07", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_41.pdf?download=true", "source_pages": [ 13 ], "marks": 10 }, "text_excerpt": "State what is meant by a photon. 7 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nI Electromagnetic radiation of a varying frequency f and constant intensity is used to illuminate (b)\na metal surface. At certain frequencies, electrons are emitted from the surface of the metal.\nof the emitted electrons is shown in The variation with f of the maximum kinetic energy E\nMAX\nFig. 7.1.\n4.0\n10–19 E / J\nMAX\n3.0\n2.0\n1.0\n0\n0 2 4 6 8 10 12\n1014 / Hz f\nFig. 7.1\nState the name of this phenomenon. (i)\n..................................................................................................................................... [1]\n© UCLES 2022 9702/41/M/J/22\n17\nDescribe conclusions that can be drawn from the graph in Fig. 7.1. The conclusions (ii) three\nmay be qualitative or quantitative.\n1 ........................................................................................................................................\n...........................................................................................................................................\n2 ........................................................................................................................................\n...........................................................................................................................................\n3 ........................................................................................................................................\n...........................................................................................................................................\n[3]\nThe experiment in is repeated twice, each time making one change. (c) (b)\nState, with a reason, how the graph obtained would compare with Fig. 7.1 when:\nI a different metal is used, but keeping the intensity of the radiation the same (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n2I. the same metal is used, but with electromagnetic radiation of intensity (ii)\n...........................................................................................................................................\n............................................................................................" }, { "id": "9702-2022-mj-41-q08", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 8, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_41.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_41.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2022-mj-41-q08-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2022-mj-41-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-41-q08", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_41.pdf?download=true", "source_pages": [ 14 ], "marks": 12 }, "text_excerpt": "State what is meant by nuclear binding energy. 8 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nOn Fig. 8.1, sketch a line to show the variation with nucleon number A of the binding (ii)\nenergy per nucleon E of a nucleus.\nE\n0\n0 250\nA\nFig. 8.1\n[2]\n(2H) undergoes the reaction In one type of nuclear process, deuterium (b)\n1\n2H 2H 3He 1n. + +\n1 1 2 0\nState the name of this type of nuclear process. (i)\n..................................................................................................................................... [1]\nExplain, with reference to your line in (a)(ii), why this reaction results in the release of (ii)\nenergy.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2022 9702/41/M/J/22\n19\nTable 8.1 shows the masses of the particles involved in the reaction in (b). (c)\nTable 8.1\nparticle mass / u\n1n 1.008 665\n0\n2H 2.014 102\n1\n3He 3.016 029\n2\nCalculate the energy released when 1.00 mol of deuterium undergoes the reaction.\nenergy = ...................................................... J [5]\n[Total: 12]\n[Turn over © UCLES 2022 9702/41/M/J/22" }, { "id": "9702-2022-mj-41-q09", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 9, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_41.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_41.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2022-mj-41-q09-p01.png", "9702-topic-24-medical-physics/assets/9702-2022-mj-41-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-41-q09", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_41.pdf?download=true", "source_pages": [ 15 ], "marks": 9 }, "text_excerpt": "Explain how X-rays are produced for use in medical diagnosis. 9 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nState why X-ray images are taken of multiple sections of the body during computed (ii)\ntomography (CT) scanning.\n...........................................................................................................................................\n..................................................................................................................................... [1]\nAn X-ray image is taken of the structure shown in Fig. 9.1. (b)\n2.4 cm\nsoft tissue bone\nQ\nincident detected\nX-rays X-rays\nP\ncm 5.6\nFig. 9.1\ncm–1. The linear attenuation coefficient of bone is 3.4\ncm–1. The linear attenuation coefficient of soft tissue is 0.89\nI across the structure. The incident X-rays are parallel and have a uniform intensity\n0\n© UCLES 2022 9702/41/M/J/22\n21\nI Determine, in terms of , the intensity of the detected X-rays from:\n0\npoint P (i)\nI detected intensity = ...................................................... [2]\n0\npoint Q. (ii)\nI detected intensity = ...................................................... [2]\n0\nExplain, with reference to your answers in (b), whether the X-ray image of the structure in (c)\nFig. 9.1 has good contrast.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 9]\n[Turn over © UCLES 2022 9702/41/M/J/22" }, { "id": "9702-2022-mj-41-q10", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_41.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_41.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-mj-41-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-mj-41-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-mj-41-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2022-mj-41-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_41.pdf?download=true", "source_pages": [ 16 ], "marks": 9 }, "text_excerpt": "State Wien’s displacement law. 10 (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nFig. 10.1 shows the wavelength distributions of electromagnetic radiation emitted by two stars (b)\nA and B.\nrate of\nemission\nstar A\nstar B\n0\n0 0.5 1.0 1.5 2.0\nμm wavelength /\nFig. 10.1\nThe surface temperature of star A is known to be 5800 K.\nDetermine the surface temperature of star B. (i)\nsurface temperature = ...................................................... K [2]\n© UCLES 2022 9702/41/M/J/22\n23\nStar B appears less bright than star A when viewed from the Earth. (ii)\nUse Fig. 10.1 to suggest, with a reason, how else the physical appearance of star B\ncompares with that of star A.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nThe lines in Fig. 10.1 have been corrected for redshift. (c)\nState what is meant by redshift. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nExplain how cosmologists are able to determine that light from a distant star has (ii)\nundergone redshift.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 9]\n© UCLES 2022 9702/41/M/J/22\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Educati" }, { "id": "9702-2022-mj-42-q01", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_42.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_42.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2022-mj-42-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2022-mj-42-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-42-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_42.pdf?download=true", "source_pages": [ 7 ], "marks": 10 }, "text_excerpt": "Define gravitational potential at a point. 1 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nStarting from the equation for the gravitational potential due to a point mass, show that (ii)\nof a point mass m at a distance r from another point the gravitational potential energy E\nP\nmass M is given by\nGMm\n= – E\nr P\nwhere G is the gravitational constant.\n[1]\n1014 × kg as it passes around a star of mass Fig. 1.1 shows the path of a comet of mass 2.20 (b)\n1030 × kg. 1.99\nX s–1 34.1 km star\n1030 × kg mass 1.99\ncomet\n1014 × mass 2.20 kg\nY\npath of comet\n(not to scale) Fig. 1.1\n1011 × m from the centre of the star and is moving at a speed of At point X, the comet is 8.44\ns–1. 34.1 km\nAt point Y, the comet passes its point of closest approach to the star. At this point, the comet\n1010 × m from the centre of the star. is a distance of 6.38\n© UCLES 2022 9702/42/M/J/22\n5\nBoth the comet and the star can be considered as point masses at their centres.\nΔE of the Calculate the magnitude of the change in the gravitational potential energy (i)\nP\ncomet as it moves from position X to position Y.\nΔE = ...................................................... J [2]\nP\nState, with a reason, whether the change in gravitational potential energy in is an (ii) (b)(i)\nincrease or a decrease.\n...........................................................................................................................................\n..................................................................................................................................... [1]\n–1, of the comet at point Y. Use your answer in to determine the speed, in km s (iii) (b)(i)\ns–1 speed = .............................................. km [3]\nA second comet passes point X with the same speed as the comet in and travelling in the (c) (b)\nsame direction. This comet is gradually losing mass. The mass of this comet when it passes\npoint X is the same as the mass of the comet in (b).\nSuggest, with a reason, how the path of the second comet compares with the path shown in\nFig. 1.1.\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/M/J/22" }, { "id": "9702-2022-mj-42-q02", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_42.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_42.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2022-mj-42-q02-p01.png", "9702-topic-18-electric-fields/assets/9702-2022-mj-42-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-42-q02", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 13 }, "text_excerpt": "State Coulomb’s law. 2 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nPositronium is a system in which an electron and a positron orbit, with the same period, (b)\naround their common centre of mass, as shown in Fig. 2.1.\ncentre of mass\nr\npositron electron\n(not to scale) Fig. 2.1\n10–10 × m. The radius r of the orbit of both particles is 1.59\nExplain how the electric force between the electron and the positron causes the path of (i)\nthe moving particles to be circular.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nShow that the magnitude of the electric force between the electron and the positron is (ii)\n–9 × N. 2.28 10\n[2]\n© UCLES 2022 9702/42/M/J/22\n7\nUse the information in to determine the period of the circular orbit of the two (iii) (b)(ii)\nparticles.\nperiod = ...................................................... s [3]\nPositronium is highly unstable, and after a very short period of time it becomes gamma (c)\nradiation.\nDescribe how gamma radiation is formed from the two particles in positronium. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nState medical application of the process described in (c)(i). (ii) one\n..................................................................................................................................... [1]\n[Total: 13]\n[Turn over © UCLES 2022 9702/42/M/J/22" }, { "id": "9702-2022-mj-42-q03", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2022-mj-42-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2022-mj-42-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-42-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 12 }, "text_excerpt": "Define specific latent heat of vaporisation. 3 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n5 × Pa is The specific latent heat of vaporisation of water at atmospheric pressure of 1.0 10 (b)\n106 kg–1. × J A mass of 0.37 kg of liquid water at 100 °C is provided with the thermal energy 2.3\nneeded to vaporise all of the water at atmospheric pressure.\nCalculate the thermal energy q supplied to the water. (i)\nq = ...................................................... J [1]\nThe mass of 1.0 mol of water is 18 g. Assume that water vapour can be considered to (ii)\nbehave as an ideal gas.\n3. Show that the volume of water vapour produced is 0.64 m\n[3]\nAssume that the initial volume of the liquid water is negligible compared with the volume (iii)\nof water vapour produced.\nDetermine the magnitude of the work done by the water in expanding against the\natmosphere when it vaporises.\nwork done = ...................................................... J [2]\n© UCLES 2022 9702/42/M/J/22\n9\nUse your answers in and to determine the increase in internal energy of the (iv) (b)(i) (b)(iii)\nwater when it vaporises at 100 °C. Explain your reasoning.\nincrease in internal energy = ...................................................... J [2]\nUse the first law of thermodynamics to suggest, with a reason, how the specific latent heat (c)\nof vaporisation of water at a pressure greater than atmospheric pressure compares with its\nvalue at atmospheric pressure.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 12]\n[Turn over © UCLES 2022 9702/42/M/J/22" }, { "id": "9702-2022-mj-42-q04", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2022-mj-42-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2022-mj-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-42-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_42.pdf?download=true", "source_pages": [ 10 ], "marks": 8 }, "text_excerpt": "State what is meant by resonance. 4 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nFig. 4.1 shows a heavy pendulum and a light pendulum, both suspended from the same (b)\npiece of string. This string is secured at each end to fixed points.\nfixed points\nstring\nheavy pendulum light pendulum\nFig. 4.1\nBoth pendulums have the same natural frequency.\nThe heavy pendulum is set oscillating perpendicular to the plane of the diagram. As it\noscillates, it causes the light pendulum to oscillate.\nFig. 4.2 shows the variation with time t of the displacements of the two pendulums for three\noscillations.\nheavy\n/ cm displacement\n0 light\n0 t / s\nFig. 4.2\n© UCLES 2022 9702/42/M/J/22\n11\nThe variation with t of the displacement x of the light pendulum is given by\n5.0rt x = 0.25 sin\nwhere x is in centimetres and t is in seconds.\nCalculate the period T of the oscillations. (i)\nT = ...................................................... s [2]\nOn Fig. 4.2, label both of the axes with the correct scales. Use the space below for any (ii)\nadditional working that you need.\n[2]\nφ between the oscillations of the light Determine the magnitude of the phase difference (iii)\nand heavy pendulums. Give a unit with your answer.\nφ = .................................. unit ............... [2]\n[Total: 8]\n[Turn over © UCLES 2022 9702/42/M/J/22" }, { "id": "9702-2022-mj-42-q05", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2022-mj-42-q05-p01.png", "9702-topic-19-capacitance/assets/9702-2022-mj-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-42-q05", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_42.pdf?download=true", "source_pages": [ 11 ], "marks": 11 }, "text_excerpt": "Define the capacitance of a parallel plate capacitor. 5 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nand C , are connected in parallel to a power supply of Two capacitors, of capacitances C (b)\n1 2\nelectromotive force (e.m.f.) E, as shown in Fig. 5.1.\nE\nC\n1\nC\n2\nFig. 5.1\nof the two capacitors is given by Show that the combined capacitance C\nT\n= C + C . C\nT 1 2\nExplain your reasoning. You may draw on Fig. 5.1 if you wish.\n[3]\n© UCLES 2022 9702/42/M/J/22\n13\nμF μF, MΩ, Two capacitors of capacitances 22 and 47 and a resistor of resistance 2.7 are (c)\nconnected into the circuit of Fig. 5.2.\n12 V\nX\nS\nMΩ 2.7\nY\nμF μF 22 47\nFig. 5.2\nThe battery has an e.m.f. of 12 V.\nμF. Show that the combined capacitance of the two capacitors is 15 (i)\n[1]\nThe two-way switch S is initially at position X, so that the capacitors are fully charged. (ii)\nUse the information in to calculate the total energy stored in the two capacitors. (c)(i)\ntotal energy = ...................................................... J [2]\nThe two-way switch is now moved to position Y. (iii)\nμF Determine the time taken for the potential difference (p.d.) across the 22 capacitor to\nbecome 6.0 V.\ntime = ...................................................... s [3]\n[Total: 11]\n[Turn over © UCLES 2022 9702/42/M/J/22" }, { "id": "9702-2022-mj-42-q06", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2022-mj-42-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2022-mj-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-42-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_42.pdf?download=true", "source_pages": [ 12 ], "marks": 10 }, "text_excerpt": "State the conditions that must be satisfied for a copper wire, placed in a magnetic field, 6 (a) two\nto experience a magnetic force.\n1 ................................................................................................................................................\n...................................................................................................................................................\n2 ................................................................................................................................................\n...................................................................................................................................................\n[2]\nA long air-cored solenoid is connected to a power supply, so that the solenoid creates a (b)\nmagnetic field. Fig. 6.1 shows a cross-section through the middle of the solenoid.\nZ section through\nsolenoid wires\nY\nW\nX\nFig. 6.1\nThe direction of the magnetic field at point W is indicated by the arrow. Three other points are\nlabelled X, Y and Z.\nOn Fig. 6.1, draw arrows to indicate the direction of the magnetic field at each of the (i)\npoints X, Y and Z. [3]\nCompare the magnitude of the flux density of the magnetic field: (ii)\nat X and at W ................................................................................................................. ●\n...........................................................................................................................................\nat Y and at Z. ................................................................................................................. ●\n...........................................................................................................................................\n[2]\n© UCLES 2022 9702/42/M/J/22\n15\nTwo long parallel current-carrying wires are placed near to each other in a vacuum. (c)\nExplain why these wires exert a magnetic force on each other. You may draw a labelled\ndiagram if you wish.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/M/J/22" }, { "id": "9702-2022-mj-42-q07", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_42.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2022-mj-42-q07-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2022-mj-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-42-q07", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_42.pdf?download=true", "source_pages": [ 13 ], "marks": 10 }, "text_excerpt": "State Faraday’s law of electromagnetic induction. 7 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nTwo coils are wound on an iron bar, as shown in Fig. 7.1. (b)\ncoil 2 V\niron bar\ncoil 1 V\n1\nFig. 7.1\nthat gives rise to a magnetic field in the Coil 1 is connected to a potential difference (p.d.) V\n1\niron bar.\nFig. 7.2 shows the variation with time t of the magnetic flux density B in the iron bar.\nB\n0\nt / s 0 0.1 0.2 0.3 0.4\nFig. 7.2\nthat is induced across coil 2. A voltmeter measures the electromotive force (e.m.f.) V\n2\n© UCLES 2022 9702/42/M/J/22\n17\nOn Fig. 7.3, sketch the variation with t of V between t = 0 and t = 0.40 s.\n2\nV\n2\n0\nt / s 0 0.1 0.2 0.3 0.4\nFig. 7.3\n[4]\nCoil 2 in is now replaced with a copper ring that rests loosely on top of coil 1. The supply (c) (b)\nto coil 1 is replaced with a cell and a switch that is initially open, as shown in Fig. 7.4.\niron bar\ncopper ring\ncoil 1\nFig. 7.4\nThe switch is now closed. As it is closed, the copper ring is observed to jump upwards. (i)\nExplain why this happens.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nSuggest, with a reason, what would be the effect of repeating the procedure in with (ii) (c)(i)\nthe terminals of the cell reversed.\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/M/J/22" }, { "id": "9702-2022-mj-42-q08", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_42.pdf?download=true", "source_pages": [ 18 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2022-mj-42-q08-p01.png" ], "answer": { "status": "available", "id": "9702-2022-mj-42-q08", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_42.pdf?download=true", "source_pages": [ 14 ], "marks": 8 }, "text_excerpt": "State piece of experimental evidence for: 8 (a) one\nthe particulate nature of electromagnetic radiation (i)\n..................................................................................................................................... [1]\nthe wave nature of matter. (ii)\n..................................................................................................................................... [1]\nλ of an alpha-particle moving at a speed of Calculate the de Broglie wavelength (b) (i)\n107 s–1. × m 6.2\nλ = ..................................................... m [3]\nThe speed v of the alpha-particle in is gradually reduced to zero. (ii) (b)(i)\nλ. On Fig. 8.1, sketch the variation with v of\nλ\n0\n0 6.2 107 s–1 v / m\nFig. 8.1\n[2]\nSuggest an explanation for why people are not observed to diffract when they walk through a (c)\ndoorway.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 8]\n© UCLES 2022 9702/42/M/J/22" }, { "id": "9702-2022-mj-42-q09", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_42.pdf?download=true", "source_pages": [ 19 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_42.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-mj-42-q09-p01.png" ], "answer": { "status": "available", "id": "9702-2022-mj-42-q09", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_42.pdf?download=true", "source_pages": [ 15 ], "marks": 7 }, "text_excerpt": "State Hubble’s law. 9 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nExplain how cosmologists use observations of emission spectra from stars in distant (ii)\ngalaxies to determine that the Universe is expanding.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nExplain how Hubble’s law and the idea of the expanding Universe lead to the Big Bang theory (b)\nof the origin of the Universe.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 7]\n[Turn over © UCLES 2022 9702/42/M/J/22" }, { "id": "9702-2022-mj-42-q10", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_42.pdf?download=true", "source_pages": [ 20, 21, 22, 23, 24 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2022-mj-42-q10-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2022-mj-42-q10-p02.png", "9702-topic-23-nuclear-physics/assets/9702-2022-mj-42-q10-p03.png", "9702-topic-23-nuclear-physics/assets/9702-2022-mj-42-q10-p04.png", "9702-topic-23-nuclear-physics/assets/9702-2022-mj-42-q10-p05.png" ], "answer": { "status": "available", "id": "9702-2022-mj-42-q10", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_42.pdf?download=true", "source_pages": [ 16 ], "marks": 11 }, "text_excerpt": "State what is meant by radioactive decay. 10 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA radioactive sample consists of an isotope X of half-life T that decays to form a stable (b)\nproduct. Only X and the stable product are present in the sample.\nand contains N nuclei of X. At time t = 0, the sample has an activity of A\n0 0\nOn Fig. 10.1, sketch the variation with t of the number N of nuclei of X present in the (i)\nsample. Your line should extend from time t = 0 to time t = 3T.\n1.00N\n0\nN\n0.75N\n0\n0.50N\n0\n0.25N\n0\n0\n0 T 2T 3T\nt\nFig. 10.1\n[3]\n© UCLES 2022 9702/42/M/J/22\n21\nOn Fig. 10.2, sketch the variation with N of the activity A of the sample for values of N (ii)\n. between N = 0 and N = N\n0\n1.0A\n0\nA\n0.5A\n0\n0\n0.5N 1.0N 0\n0 0\nN\nFig. 10.2\n[2]\nState the name of the quantity represented by the gradient of your line in: (c)\nFig. 10.1 (i)\n..................................................................................................................................... [1]\nFig. 10.2. (ii)\n..................................................................................................................................... [1]\nN\nat time t = 1.70T. For the sample in (b), calculate the fraction (d)\nN\n0\nN\n= ......................................................... [2]\nN\n0\n[Total: 11]\n© UCLES 2022 9702/42/M/J/22\n22\nBLANK PAGE\n© UCLES 2022 9702/42/M/J/22\n23\nBLANK PAGE\n© UCLES 2022 9702/42/M/J/22\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge\nLocal Examinations Syndicate (UCLES), which is a department of the University of Cambridge.\n© UCLES 2022 9702/42/M/J/22" }, { "id": "9702-2022-mj-43-q01", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_43.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_43.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2022-mj-43-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2022-mj-43-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-43-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_43.pdf?download=true", "source_pages": [ 7 ], "marks": 10 }, "text_excerpt": "State Newton’s law of gravitation. 1 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nUse Newton’s law of gravitation to show that the gravitational field strength g at a (ii)\ndistance r away from a point mass M is given by\nGM\n. g =\n2 r\n[2]\n1024 106 × × kg and a radius of 6.37 m. The Earth has a mass of 5.98 (b)\n1022 106 × × kg and a radius of 1.74 m. The Moon has a mass of 7.35\nThe Earth and the Moon can both be considered as point masses at their centres. Their\n108 × m apart. centres are a distance of 3.84\nShow that the gravitational field strength at the surface of the Moon due to the mass of (i)\nkg–1. the Moon is 1.62 N\n[1]\nExplain why there is a point X on the line between the centres of the Earth and the Moon (ii)\nwhere the resultant gravitational field strength due to the Earth and the Moon is zero.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2022 9702/43/M/J/22\n5\nCalculate the distance x of point X from the centre of the Moon. (iii)\nx = ..................................................... m [3]\n[Total: 10]\n[Turn over © UCLES 2022 9702/43/M/J/22" }, { "id": "9702-2022-mj-43-q02", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 2, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_43.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2022-mj-43-q02-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2022-mj-43-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-43-q02", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_43.pdf?download=true", "source_pages": [ 8 ], "marks": 8 }, "text_excerpt": "10–10 × A sphere of mass 1.6 kg has a charge of +0.27 nC. The sphere is in a uniform electric field 2\nthat acts vertically upwards, as shown in the side view in Fig. 2.1.\nSIDE VIEW\nelectric field lines\nplane in which\nsphere moves\nsphere\nFig. 2.1\nThe force exerted on the sphere by the electric field causes the sphere to remain at a fixed vertical\nheight in a horizontal plane.\nThere is a uniform magnetic field in the region of the electric field. The sphere moves at a speed of\n–1 in the horizontal plane. The magnetic field causes the sphere to move in a circular path 0.78 m s\nof radius 3.4 m, as shown in the view from above in Fig. 2.2.\nVIEW FROM ABOVE\nelectric field lines\nout of the page 3.4 m\npath of sphere\nsphere\nFig. 2.2\n© UCLES 2022 9702/43/M/J/22\n7\nDetermine the direction of the uniform magnetic field. (a) (i)\n..................................................................................................................................... [1]\nExplain why the motion of the sphere in the horizontal plane is circular. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nCalculate the strength of the uniform electric field. (b)\n–1 [2] electric field strength = ............................................... N C\nBy considering the magnetic force on the sphere, show that the flux density of the uniform (c)\nmagnetic field is 0.14 T.\n[3]\n[Total: 8]\n[Turn over © UCLES 2022 9702/43/M/J/22" }, { "id": "9702-2022-mj-43-q03", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_43.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_43.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2022-mj-43-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2022-mj-43-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-43-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_43.pdf?download=true", "source_pages": [ 9 ], "marks": 11 }, "text_excerpt": "A fixed mass of an ideal gas is initially at a temperature of 17 °C. 3\nm3 105 × and a pressure of 1.2 Pa. The gas has a volume of 0.24\nState what is meant by an ideal gas. (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nCalculate the amount n of gas. (ii)\nn = .................................................. mol [2]\nThe gas undergoes three successive changes, as shown in Fig. 3.1. (b)\n4.0\nC\n105 pressure / Pa\n3.0\n2.0\nB A\n1.0\n0\n0.08 0.12 0.16 0.04 0.20 0.24 0.28\nm3 volume /\nFig. 3.1\nThe initial state is represented by point A. The gas is cooled at constant pressure to point B\nby the removal of 48.0 kJ of thermal energy.\nThe gas is then heated at constant volume to point C.\nFinally, the gas expands at constant temperature back to its original pressure and volume at\npoint A. During this expansion, the gas does 31.6 kJ of work.\n© UCLES 2022 9702/43/M/J/22\n9\nShow that the magnitude of the work done during the change AB is 19.2 kJ. (i)\n[2]\nComplete Table 3.1 to show the work done on the gas, the thermal energy supplied to (ii)\nthe gas and the increase in internal energy of the gas, for each of the changes AB, BC\nand CA.\nTable 3.1\nwork done thermal energy increase in internal\nchange\non gas / kJ supplied to gas / kJ energy of gas / kJ\nAB – 48.0\nBC\nCA – 31.6\n[5]\n[Total: 11]\n[Turn over © UCLES 2022 9702/43/M/J/22" }, { "id": "9702-2022-mj-43-q04", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_43.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_43.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2022-mj-43-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2022-mj-43-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-43-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_43.pdf?download=true", "source_pages": [ 10 ], "marks": 8 }, "text_excerpt": "A pendulum consists of a bob (small metal sphere) attached to the end of a piece of string. The 4\nother end of the string is attached to a fixed point. The bob oscillates with small oscillations about\nits equilibrium position, as shown in Fig. 4.1.\nstring\nL\nequilibrium\nbob position\nx\noscillations\n(not to scale) Fig. 4.1\nThe length L of the pendulum, measured from the fixed point to the centre of the bob, is 1.24 m.\nThe acceleration a of the bob varies with its displacement x from the equilibrium position as shown\nin Fig. 4.2.\n0.4\ns–2 a / m\n0.2\n0\n–0.06 –0.04 –0.02 0 0.02 0.04 0.06\nx / m\n–0.2\n–0.4\nFig. 4.2\n© UCLES 2022 9702/43/M/J/22\n11\nState how Fig. 4.2 shows that the motion of the pendulum is simple harmonic. (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nω of the oscillations. Use Fig. 4.2 to determine the angular frequency (b) (i)\ns–1 ω = .............................................. rad [2]\nω is related to the length L of the pendulum by The angular frequency (ii)\nk\nω =\nL\nwhere k is a constant.\nUse your answer in to determine k. Give a unit with your answer. (b)(i)\nk = .................................... unit .............. [2]\nWhile the pendulum is oscillating, the length of the string is increased in such a way that the (c)\ntotal energy of the oscillations remains constant.\nSuggest and explain the qualitative effect of this change on the amplitude of the oscillations.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 8]\n[Turn over © UCLES 2022 9702/43/M/J/22" }, { "id": "9702-2022-mj-43-q05", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 5, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_43.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_43.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2022-mj-43-q05-p01.png", "9702-topic-21-alternating-currents/assets/9702-2022-mj-43-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-43-q05", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_43.pdf?download=true", "source_pages": [ 11 ], "marks": 12 }, "text_excerpt": "kΩ, Fig. 5.1 shows four diodes and a load resistor of resistance 1.2 connected in a circuit that is 5\nused to produce rectification of an alternating voltage.\nP\nX\nV\nkΩ 1.2 V IN\nOUT\nY\nQ\nFig. 5.1\nState what is meant by rectification. (a) (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nState the type of rectification produced by the circuit in Fig. 5.1. (ii)\n..................................................................................................................................... [1]\nis applied across the input terminals X and Y. The variation A sinusoidal alternating voltage V (b)\nIN\nis given by the equation with time t of V\nIN\n25πt = 6.0 sin V\nIN\nis in volts and t is in seconds. where V\nIN\nOn Fig. 5.1, label the output terminals P and Q with the appropriate symbols to indicate (i)\n. [1] the polarity of the output voltage V\nOUT\n© UCLES 2022 9702/43/M/J/22\n13\nThe magnitude of the output voltage V varies with t as shown in Fig. 5.2. (ii)\nOUT\nV / V\nOUT\n0\n0\nt / s\nFig. 5.2\nOn Fig. 5.2, label both of the axes with the correct scales. Use the space below for any\nworking that you need.\n[3]\nThe output voltage in is smoothed by adding a capacitor to the circuit in Fig. 5.1. (c) (b)\nThe difference between the maximum and minimum values of the smoothed output voltage is\n10% of the peak voltage.\nOn Fig. 5.1, draw the circuit symbol for a capacitor showing the capacitor correctly (i)\nconnected into the circuit. [1]\nOn Fig. 5.2, sketch the variation with t of the smoothed output voltage. [2] (ii)\nCalculate the capacitance C of the capacitor. (iii)\nC = ...................................................... F [3]\n[Total: 12]\n[Turn over © UCLES 2022 9702/43/M/J/22" }, { "id": "9702-2022-mj-43-q06", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_43.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2022-mj-43-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2022-mj-43-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-43-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_43.pdf?download=true", "source_pages": [ 12 ], "marks": 11 }, "text_excerpt": "Define magnetic flux. 6 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA square coil of wire of side length 12 cm consists of 8 insulated turns. The coil is stationary (b)\nin a uniform magnetic field. The plane of the coil is perpendicular to the magnetic field, as\nshown in Fig. 6.1.\nmagnetic field lines\ninto the page\ncm 12\nsquare coil\n8 turns\nterminals\nFig. 6.1\nThe flux density B of the magnetic field varies with time t as shown in Fig. 6.2.\n400\n/ mT B\n200\n0\n0 0.2 0.4 0.6 0.8\nt / s\nFig. 6.2\n© UCLES 2022 9702/43/M/J/22\n15\nDetermine the magnetic flux linkage inside the coil at time t = 0.60 s. Give a unit with (i)\nyour answer.\nmagnetic flux linkage = .................................... unit .............. [3]\nState how Fig. 6.2 shows that the electromotive force (e.m.f.) E induced across the (ii)\nterminals between t = 0 and t = 0.60 s is constant.\n..................................................................................................................................... [1]\nCalculate the magnitude of E. (iii)\nE = ...................................................... V [2]\nThe procedure in is repeated, but this time the terminals of the coil are connected together. (c) (b)\nState and explain the effect on the coil of connecting the terminals together during the change\nof magnetic flux density shown in Fig. 6.2.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 11]\n[Turn over © UCLES 2022 9702/43/M/J/22" }, { "id": "9702-2022-mj-43-q07", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 7, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_43.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_43.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2022-mj-43-q07-p01.png", "9702-topic-22-quantum-physics/assets/9702-2022-mj-43-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-43-q07", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_43.pdf?download=true", "source_pages": [ 13 ], "marks": 10 }, "text_excerpt": "State what is meant by a photon. 7 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nI Electromagnetic radiation of a varying frequency f and constant intensity is used to illuminate (b)\na metal surface. At certain frequencies, electrons are emitted from the surface of the metal.\nof the emitted electrons is shown in The variation with f of the maximum kinetic energy E\nMAX\nFig. 7.1.\n4.0\n10–19 E / J\nMAX\n3.0\n2.0\n1.0\n0\n0 2 4 6 8 10 12\n1014 / Hz f\nFig. 7.1\nState the name of this phenomenon. (i)\n..................................................................................................................................... [1]\n© UCLES 2022 9702/43/M/J/22\n17\nDescribe conclusions that can be drawn from the graph in Fig. 7.1. The conclusions (ii) three\nmay be qualitative or quantitative.\n1 ........................................................................................................................................\n...........................................................................................................................................\n2 ........................................................................................................................................\n...........................................................................................................................................\n3 ........................................................................................................................................\n...........................................................................................................................................\n[3]\nThe experiment in is repeated twice, each time making one change. (c) (b)\nState, with a reason, how the graph obtained would compare with Fig. 7.1 when:\nI a different metal is used, but keeping the intensity of the radiation the same (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n2I. the same metal is used, but with electromagnetic radiation of intensity (ii)\n...........................................................................................................................................\n............................................................................................" }, { "id": "9702-2022-mj-43-q08", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 8, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_43.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_43.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2022-mj-43-q08-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2022-mj-43-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-43-q08", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_43.pdf?download=true", "source_pages": [ 14 ], "marks": 12 }, "text_excerpt": "State what is meant by nuclear binding energy. 8 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nOn Fig. 8.1, sketch a line to show the variation with nucleon number A of the binding (ii)\nenergy per nucleon E of a nucleus.\nE\n0\n0 250\nA\nFig. 8.1\n[2]\n(2H) undergoes the reaction In one type of nuclear process, deuterium (b)\n1\n2H 2H 3He 1n. + +\n1 1 2 0\nState the name of this type of nuclear process. (i)\n..................................................................................................................................... [1]\nExplain, with reference to your line in (a)(ii), why this reaction results in the release of (ii)\nenergy.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2022 9702/43/M/J/22\n19\nTable 8.1 shows the masses of the particles involved in the reaction in (b). (c)\nTable 8.1\nparticle mass / u\n1n 1.008 665\n0\n2H 2.014 102\n1\n3He 3.016 029\n2\nCalculate the energy released when 1.00 mol of deuterium undergoes the reaction.\nenergy = ...................................................... J [5]\n[Total: 12]\n[Turn over © UCLES 2022 9702/43/M/J/22" }, { "id": "9702-2022-mj-43-q09", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 9, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_43.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_43.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2022-mj-43-q09-p01.png", "9702-topic-24-medical-physics/assets/9702-2022-mj-43-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2022-mj-43-q09", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_43.pdf?download=true", "source_pages": [ 15 ], "marks": 9 }, "text_excerpt": "Explain how X-rays are produced for use in medical diagnosis. 9 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nState why X-ray images are taken of multiple sections of the body during computed (ii)\ntomography (CT) scanning.\n...........................................................................................................................................\n..................................................................................................................................... [1]\nAn X-ray image is taken of the structure shown in Fig. 9.1. (b)\n2.4 cm\nsoft tissue bone\nQ\nincident detected\nX-rays X-rays\nP\ncm 5.6\nFig. 9.1\ncm–1. The linear attenuation coefficient of bone is 3.4\ncm–1. The linear attenuation coefficient of soft tissue is 0.89\nI across the structure. The incident X-rays are parallel and have a uniform intensity\n0\n© UCLES 2022 9702/43/M/J/22\n21\nI Determine, in terms of , the intensity of the detected X-rays from:\n0\npoint P (i)\nI detected intensity = ...................................................... [2]\n0\npoint Q. (ii)\nI detected intensity = ...................................................... [2]\n0\nExplain, with reference to your answers in (b), whether the X-ray image of the structure in (c)\nFig. 9.1 has good contrast.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 9]\n[Turn over © UCLES 2022 9702/43/M/J/22" }, { "id": "9702-2022-mj-43-q10", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_43.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_43.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-mj-43-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-mj-43-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-mj-43-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2022-mj-43-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_43.pdf?download=true", "source_pages": [ 16 ], "marks": 9 }, "text_excerpt": "State Wien’s displacement law. 10 (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nFig. 10.1 shows the wavelength distributions of electromagnetic radiation emitted by two stars (b)\nA and B.\nrate of\nemission\nstar A\nstar B\n0\n0 0.5 1.0 1.5 2.0\nμm wavelength /\nFig. 10.1\nThe surface temperature of star A is known to be 5800 K.\nDetermine the surface temperature of star B. (i)\nsurface temperature = ...................................................... K [2]\n© UCLES 2022 9702/43/M/J/22\n23\nStar B appears less bright than star A when viewed from the Earth. (ii)\nUse Fig. 10.1 to suggest, with a reason, how else the physical appearance of star B\ncompares with that of star A.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nThe lines in Fig. 10.1 have been corrected for redshift. (c)\nState what is meant by redshift. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nExplain how cosmologists are able to determine that light from a distant star has (ii)\nundergone redshift.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 9]\n© UCLES 2022 9702/43/M/J/22\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Educati" }, { "id": "9702-2022-mj-51-q01", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "51", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_51.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-mj-51-q01-p01.png", "9702-practical-skills/assets/9702-2022-mj-51-q01-p02.png", "9702-practical-skills/assets/9702-2022-mj-51-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2022-mj-51-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_51.pdf?download=true", "source_pages": [ 6, 7 ], "marks": 15 }, "text_excerpt": "Two parallel metal plates, each of area A, are separated by a small distance d, as shown in 1\nFig. 1.1.\narea A\nmetal plates\nd\n(not to scale) Fig. 1.1\nThe plates are initially charged using a power supply.\nThe plates are then connected to an uncharged capacitor. The potential difference V across the\ncapacitor is measured.\nIt is suggested that V is related to d by the relationship\nW Cd\n= 1 +\nV KA\nwhere C is the capacitance of the capacitor, and K and W are constants.\nPlan a laboratory experiment to test the relationship between V and d.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for K and W.\nIn your plan you should include:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2022 9702/51/M/J/22\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n....................................................................................................................................................." }, { "id": "9702-2022-mj-51-q02", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "51", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_51.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-mj-51-q02-p01.png", "9702-practical-skills/assets/9702-2022-mj-51-q02-p02.png", "9702-practical-skills/assets/9702-2022-mj-51-q02-p03.png", "9702-practical-skills/assets/9702-2022-mj-51-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2022-mj-51-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_51.pdf?download=true", "source_pages": [ 8, 9, 10 ], "marks": 15 }, "text_excerpt": "A student investigates the relationship between the luminosity L of a star and its mass M for a set 2\nof stars known as main-sequence stars.\nIt is suggested that L and M are related by the equation\nn L = SZM\nwhere S is the luminosity of the Sun, and Z and n are constants.\nA graph is plotted of lg L on the y-axis against lg M on the x-axis. (a)\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2022 9702/51/M/J/22\n6\nValues of M and L are given in Table 2.1. (b)\nTable 2.1\n1030 1028 1030 1028 M / kg L / W lg (M / kg) lg (L / W)\n4.8 ± 0.4 1.4\n6.4 ± 0.4 3.1\n12 ± 2 32\n23 ± 2 350\n43 ± 4 3600\n91 ± 4 66 000\n1030 1028 Calculate and record values of lg (M / kg) and lg (L / W) in Table 2.1.\n1030 kg). [2] Include the absolute uncertainties in lg (M /\n1028 1030 W) against lg (M / kg). Plot a graph of lg (L / (c) (i)\n1030 kg). [2] Include error bars for lg (M /\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2022 9702/51/M/J/22\n7\n5.5\n5.0\n1028 / W) lg (L\n4.5\n4.0\n3.5\n3.0\n2.5\n2.0\n1.5\n1.0\n0.5\n0\n0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0\n1030 lg (M / kg)\n[Turn over © UCLES 2022 9702/51/M/J/22\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of n and Z. Include the (d) (c)(iii)\nabsolute uncertainties in your values. You need not be concerned with units.\n26 × W Data: S = 3.85 10\nn = ...............................................................\nZ = ...............................................................\n[3]\n1030 × kg. Another main-sequence star has a mass of 3.0 (e)\nDetermine the luminosity L of this star.\nL = ..................................................... W [1]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\n© UCLES 2022 9702/51/M/J/22" }, { "id": "9702-2022-mj-52-q01", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-mj-52-q01-p01.png", "9702-practical-skills/assets/9702-2022-mj-52-q01-p02.png", "9702-practical-skills/assets/9702-2022-mj-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2022-mj-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_52.pdf?download=true", "source_pages": [ 6, 7 ], "marks": 15 }, "text_excerpt": "Two parallel cylindrical conductors each have a small cross‑sectional area A. A thin metal bar 1\nconnects the two conductors, as shown in Fig. 1.1.\nL\narea A\nC\ncylindrical\nx\nmetal bar conductors\nC\narea A y\n(not to scale) Fig. 1.1\nThe metal bar has a square cross‑section with sides of length y. For each conductor, the distance\nbetween its end C and the centre of the metal bar is L. The distance between the centres of the\nconductors is x.\nI The ends C are connected to a power supply and the current in the conductors is measured.\nI It is suggested that is related to L by the relationship\nE 2PL Qx\n= +\n2 I A y\nwhere E is the electromotive force (e.m.f.) of the power supply, and P and Q are constants.\nI Plan a laboratory experiment to test the relationship between and L.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for P and Q.\nIn your plan you should include:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2022 9702/52/M/J/22\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n.............................................................................." }, { "id": "9702-2022-mj-52-q02", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-mj-52-q02-p01.png", "9702-practical-skills/assets/9702-2022-mj-52-q02-p02.png", "9702-practical-skills/assets/9702-2022-mj-52-q02-p03.png", "9702-practical-skills/assets/9702-2022-mj-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2022-mj-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_52.pdf?download=true", "source_pages": [ 7, 8, 9, 10, 11 ], "marks": 15 }, "text_excerpt": "The brightness of some stars varies regularly. These stars are called variable stars. 2\nFig. 2.1 shows the variation of luminosity with time for a variable star.\nperiod\nluminosity\ntime\nFig. 2.1\nA student determines the period T and mean luminosity L of the star.\nThe student repeats the process for different variable stars.\nIt is suggested that L and T are related by the equation\na L = SKT\nwhere S is the luminosity of the Sun, and a and K are constants.\nA graph is plotted of lg L on the y‑axis against lg T on the x‑axis. (a)\nDetermine expressions for the gradient and y‑intercept.\ngradient = ...............................................................\ny‑intercept = ...............................................................\n[1]\n[Turn over © UCLES 2022 9702/52/M/J/22\n6\nValues of T and L are given in Table 2.1. (b)\nTable 2.1\n1030 1030 T / days L / W lg (T / days) lg (L / W)\n22 2.9 ± 0.2\n32 4.9 ± 0.2\n42 6.9 ± 0.2\n54 9.8 ± 0.2\n78 16 ± 2\n97 21 ± 2\n1030 Calculate and record values of lg (T / days) and lg (L / W) in Table 2.1.\n1030 W). [2] Include the absolute uncertainties in lg (L /\n1030 W) against lg (T / days). Plot a graph of lg (L / (c) (i)\n1030 W). [2] Include error bars for lg (L /\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2022 9702/52/M/J/22\n7\n1.5\n1.4\n1030 / W) lg (L\n1.3\n1.2\n1.1\n1.0\n0.9\n0.8\n0.7\n0.6\n0.5\n0.4\n1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0\n/ days) lg (T\n[Turn over © UCLES 2022 9702/52/M/J/22\n8\nDetermine the y‑intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny‑intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of a and K. Include the (d) (c)(iii)\nabsolute uncertainties in your values. You need not be concerned with units.\n26 × W Data: S = 3.85 10\na = ...............................................................\nK = ...............................................................\n[3]\nA variable star has a period of 5.0 days. (e)\nDetermine the luminosity L of this star.\nL = ..................................................... W [1]\n[Total: 15]\nTo avoid the issue of disclosure of answer‑related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\n© UCLES 2022 9702/52/M/J/22" }, { "id": "9702-2022-mj-53-q01", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "53", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_53.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-mj-53-q01-p01.png", "9702-practical-skills/assets/9702-2022-mj-53-q01-p02.png", "9702-practical-skills/assets/9702-2022-mj-53-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2022-mj-53-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_53.pdf?download=true", "source_pages": [ 6, 7 ], "marks": 15 }, "text_excerpt": "Two parallel metal plates, each of area A, are separated by a small distance d, as shown in 1\nFig. 1.1.\narea A\nmetal plates\nd\n(not to scale) Fig. 1.1\nThe plates are initially charged using a power supply.\nThe plates are then connected to an uncharged capacitor. The potential difference V across the\ncapacitor is measured.\nIt is suggested that V is related to d by the relationship\nW Cd\n= 1 +\nV KA\nwhere C is the capacitance of the capacitor, and K and W are constants.\nPlan a laboratory experiment to test the relationship between V and d.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for K and W.\nIn your plan you should include:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2022 9702/53/M/J/22\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n....................................................................................................................................................." }, { "id": "9702-2022-mj-53-q02", "subject": "9702", "year": 2022, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "53", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_qp_53.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2022-May-June/qp/9702_s22_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-mj-53-q02-p01.png", "9702-practical-skills/assets/9702-2022-mj-53-q02-p02.png", "9702-practical-skills/assets/9702-2022-mj-53-q02-p03.png", "9702-practical-skills/assets/9702-2022-mj-53-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2022-mj-53-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-May-June/ms/9702_s22_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-May-June/9702_s22_ms_53.pdf?download=true", "source_pages": [ 8, 9, 10 ], "marks": 15 }, "text_excerpt": "A student investigates the relationship between the luminosity L of a star and its mass M for a set 2\nof stars known as main-sequence stars.\nIt is suggested that L and M are related by the equation\nn L = SZM\nwhere S is the luminosity of the Sun, and Z and n are constants.\nA graph is plotted of lg L on the y-axis against lg M on the x-axis. (a)\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2022 9702/53/M/J/22\n6\nValues of M and L are given in Table 2.1. (b)\nTable 2.1\n1030 1028 1030 1028 M / kg L / W lg (M / kg) lg (L / W)\n4.8 ± 0.4 1.4\n6.4 ± 0.4 3.1\n12 ± 2 32\n23 ± 2 350\n43 ± 4 3600\n91 ± 4 66 000\n1030 1028 Calculate and record values of lg (M / kg) and lg (L / W) in Table 2.1.\n1030 kg). [2] Include the absolute uncertainties in lg (M /\n1028 1030 W) against lg (M / kg). Plot a graph of lg (L / (c) (i)\n1030 kg). [2] Include error bars for lg (M /\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2022 9702/53/M/J/22\n7\n5.5\n5.0\n1028 / W) lg (L\n4.5\n4.0\n3.5\n3.0\n2.5\n2.0\n1.5\n1.0\n0.5\n0\n0.6 0.8 1.0 1.2 1.4 1.6 1.8 2.0\n1030 lg (M / kg)\n[Turn over © UCLES 2022 9702/53/M/J/22\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of n and Z. Include the (d) (c)(iii)\nabsolute uncertainties in your values. You need not be concerned with units.\n26 × W Data: S = 3.85 10\nn = ...............................................................\nZ = ...............................................................\n[3]\n1030 × kg. Another main-sequence star has a mass of 3.0 (e)\nDetermine the luminosity L of this star.\nL = ..................................................... W [1]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\n© UCLES 2022 9702/53/M/J/22" }, { "id": "9702-2022-on-41-q01", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_41.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_41.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2022-on-41-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2022-on-41-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-41-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_41.pdf?download=true", "source_pages": [ 6 ], "marks": 9 }, "text_excerpt": "State the equation for the gravitational force F between two point masses m and m that are 1 (a)\n1 2\nseparated by a distance r. State the meaning of any other symbols you use.\n[2]\nA satellite is in a circular orbit of radius R around a planet of mass M. (b)\nShow that the period T of the orbit is given by\n2 kR3 = T\nwhere k is a constant that depends on the value of M. Explain your reasoning.\n[3]\nA satellite is in a circular orbit around the Earth with a period of 24 hours. (c)\n1024 × kg. The mass of the Earth is 6.0\nCalculate the radius of the orbit. (i)\nradius = ..................................................... m [2]\n© UCLES 2022 9702/41/O/N/22\n5\nState the other conditions that must be met for the orbit to be geostationary. (ii) two\n1 ........................................................................................................................................\n...........................................................................................................................................\n2 ........................................................................................................................................\n...........................................................................................................................................\n[2]\n[Total: 9]\n[Turn over © UCLES 2022 9702/41/O/N/22" }, { "id": "9702-2022-on-41-q02", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 2, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_41.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_41.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2022-on-41-q02-p01.png", "9702-topic-14-temperature/assets/9702-2022-on-41-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-41-q02", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_41.pdf?download=true", "source_pages": [ 7 ], "marks": 10 }, "text_excerpt": "Fig. 2.1 shows a laboratory thermometer that is calibrated to measure temperature in degrees 2\nCelsius.\nglass tube bulb\n-10 0 10 20 30 40 50\nmercury capillary\nFig. 2.1\nThe thermometer makes use of the fact that the density of mercury varies with temperature.\nState other physical properties of materials, apart from the density of a liquid, that can be (a) two\nused for measuring temperature.\n1 ................................................................................................................................................\n2 ................................................................................................................................................\n[2]\nThe thermometer is initially at 23.0 °C, as shown in Fig. 2.1. It is used to measure the (b)\ntemperature of an insulated beaker of water that is at 37.4 °C. The bulb of the thermometer is\ninserted into the water, and the water is stirred until the reading on the thermometer becomes\nsteady.\nThe mass of water in the beaker is 18.7 g.\nThe mass of mercury in the thermometer is 6.94 g.\n–1 K–1. The specific heat capacity of water is 4.18 J g\ng–1 K–1. The specific heat capacity of mercury is 0.140 J\nThe glass of the thermometer and the beaker containing the water can be considered to have\nnegligible heat capacity.\nCalculate, to three significant figures, the final steady temperature indicated by the (i)\nthermometer in the water.\ntemperature = .................................................... °C [4]\n© UCLES 2022 9702/41/O/N/22\n7\nSuggest change that could be made to the design of the thermometer that would (ii) one\nenable it to give a more accurate measurement of temperature.\n...........................................................................................................................................\n..................................................................................................................................... [1]\nExplain why the thermometer in Fig. 2.1 does provide a direct measurement of (c) (i) not\nthermodynamic temperature.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nThermodynamic temperature T may be determined by the behaviour of a type of (ii)\nsubstance for which T is proportional to the product of pressure and volume.\nState the name of this type of substance.\n..................................................................................................................................... [1]\n[Total: 10]\n[Turn over © UCLES 2022 9702/41/O/N/22" }, { "id": "9702-2022-on-41-q03", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 3, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_41.pdf?download=true", "source_pages": [ 8, 9, 10, 11 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_41.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2022-on-41-q03-p01.png", "9702-topic-17-oscillations/assets/9702-2022-on-41-q03-p02.png", "9702-topic-17-oscillations/assets/9702-2022-on-41-q03-p03.png", "9702-topic-17-oscillations/assets/9702-2022-on-41-q03-p04.png" ], "answer": { "status": "available", "id": "9702-2022-on-41-q03", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_41.pdf?download=true", "source_pages": [ 8 ], "marks": 11 }, "text_excerpt": "An object is suspended from a spring that is attached to a fixed point as shown in Fig. 3.1. 3\nfixed point\nspring\nobject oscillations\nequilibrium position\nFig. 3.1\nThe object oscillates vertically with simple harmonic motion about its equilibrium position.\nState the defining equation for simple harmonic motion. Identify the meaning of each of the (a)\nsymbols used to represent physical quantities.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nThe variation with displacement x from the equilibrium position of the velocity v of the object (b)\nis shown in Fig. 3.2.\n0.2\ns–1 v / m\n0.1\n0\n– 0.12 – 0.08 0.04 0 0.04 0.08 0.12 –\nx / m\n–– 00..21\n– 0.2\nFig. 3.2\n© UCLES 2022 9702/41/O/N/22\n9\nThe variation with x of the potential energy E of the oscillations of the object is shown in\nP\nFig. 3.3.\n0.050\nE / J\nP\n0.025\n0\n– 0.12 – 0.08 – 0.04 0 0.04 0.08 0.12\nx / m\nFig. 3.3\nUse Fig. 3.2 and Fig. 3.3 to:\nof the oscillations determine the amplitude x (i)\n0\nx = ..................................................... m [1]\n0\ns–1 show that the angular frequency of the oscillations is 1.7 rad (ii)\n[2]\ndetermine the mass M of the object. (iii)\nM = .................................................... kg [2]\n[Turn over © UCLES 2022 9702/41/O/N/22\n10\nThe oscillations of the object are now lightly damped. (c)\nState what is meant by damping. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nAssume that the damping does not change the angular frequency of the oscillations. (ii)\nOn Fig. 3.2, sketch the variation with x of v when the amplitude of the oscillations\nis 0.060 m. [2]\n[Total: 11]\n© UCLES 2022 9702/41/O/N/22\n11\nBLANK PAGE\n[Turn over © UCLES 2022 9702/41/O/N/22" }, { "id": "9702-2022-on-41-q04", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 4, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_41.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_41.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2022-on-41-q04-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2022-on-41-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-41-q04", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_41.pdf?download=true", "source_pages": [ 9 ], "marks": 12 }, "text_excerpt": "State what is indicated by the direction of an electric field line. 4 (a)\n...................................................................................................................................................\n............................................................................................................................................. [2]\nFig. 4.1 shows a pair of parallel metal plates with a potential difference (p.d.) of 2400 V (b)\nbetween them.\n+ 2400 V\nmetal plates\n4.6 cm\n0 V\nFig. 4.1\nThe plates are separated by a distance of 4.6 cm. The plates are in a vacuum.\nOn Fig. 4.1, draw five lines to represent the electric field in the region between the plates. (i)\n[3]\nCalculate the strength of the electric field between the plates. (ii)\n–1 [2] electric field strength = ............................................... N C\n© UCLES 2022 9702/41/O/N/22\n13\nA moving proton enters the region between the plates from the left, as shown in Fig. 4.2. (c)\n+ 2400 V\nregion of\nelectric field\nproton\n0 V\nFig. 4.2\nThe proton is deflected by the electric field. (i)\nOn Fig. 4.2, draw a line to show the path of the proton as it moves through and out of the\nregion of the electric field. [2]\n4 He) now enters the region of the electric field along the same initial A helium nucleus ( (ii)\n2\npath as the proton and travelling at the same initial speed.\nState and explain how the final speed of the helium nucleus compares with the final\nspeed of the proton after leaving the region of the electric field.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n[Total: 12]\n[Turn over © UCLES 2022 9702/41/O/N/22" }, { "id": "9702-2022-on-41-q05", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 5, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_41.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_41.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2022-on-41-q05-p01.png", "9702-topic-19-capacitance/assets/9702-2022-on-41-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-41-q05", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_41.pdf?download=true", "source_pages": [ 10 ], "marks": 11 }, "text_excerpt": "μF A capacitor of capacitance 470 is connected to a battery of electromotive force (e.m.f.) 24 V in 5\nthe circuit of Fig. 5.1.\nX Y\nS\n24 V V\nμF 470\nP Q\nkΩ kΩ 5.6 5.6\nFig. 5.1\nThe two-way switch S is initially at position X.\nkΩ. P and Q are identical long straight wires, each with a resistance of 5.6 These wires are placed\nnear to, and parallel to, each other. Wire Q is connected to a voltmeter.\nAt time t = 0, switch S is moved to position Y so that the capacitor discharges through wire P.\non the capacitor at time t = 0. Calculate the charge Q (a) (i)\n0\nQ = ..................................................... C [2]\n0\nI in wire P at time t = 0. Calculate the current (ii)\n0\nI = ...................................................... A [1]\n0\n© UCLES 2022 9702/41/O/N/22\n15\nτ Calculate the time constant of the discharge circuit. (iii)\nτ = ...................................................... s [2]\nI On Fig. 5.2, sketch a line to show the variation with t of the current in wire P as the (iv)\ncapacitor discharges.\nI\n0\nI\n0\n0 t\nFig. 5.2\n[2]\nExplain why there is an induced e.m.f. across wire Q during the discharge of the (b) (i)\ncapacitor.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nOn Fig. 5.3, sketch a line to suggest the variation with t of the voltmeter reading V. (ii)\nV\n0\n0 t\nFig. 5.3\n[1]\n[Total: 11]\n[Turn over © UCLES 2022 9702/41/O/N/22" }, { "id": "9702-2022-on-41-q06", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_41.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2022-on-41-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2022-on-41-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-41-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_41.pdf?download=true", "source_pages": [ 11 ], "marks": 9 }, "text_excerpt": "Fig. 6.1 shows a thin slice of semiconducting material used in a Hall probe. 6\nI\nQ R\nX Y\nP S\nW Z\nI\n(not to scale) Fig. 6.1\nI Current passes through the slice in the direction shown.\nThe slice is placed in a uniform magnetic field of flux density B, so that two of its faces are\nperpendicular to the magnetic field.\nis developed between face PQXW and face SRYZ. A steady Hall voltage V\nH\nUse the letters in Fig. 6.1 to identify the faces that are perpendicular to the magnetic (a) (i)\nfield.\n....................................................... and ....................................................... [1]\nis developed between faces PQXW and SRYZ. Explain how the steady Hall voltage V (ii)\nH\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n© UCLES 2022 9702/41/O/N/22\n17\nThe magnitude of V is given by the equation (b)\nH\nBI\n= . V\nH ntq\nState the meaning of the symbols n, t and q. You may refer to the letters in Fig. 6.1. (i)\nn: .......................................................................................................................................\nt: ........................................................................................................................................\nq: .......................................................................................................................................\n[3]\nSuggest, with reference to the equation, why the slice of the material used in a Hall (ii)\nprobe is thin.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 9]\n[Turn over © UCLES 2022 9702/41/O/N/22" }, { "id": "9702-2022-on-41-q07", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 7, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_41.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_41.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2022-on-41-q07-p01.png", "9702-topic-21-alternating-currents/assets/9702-2022-on-41-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-41-q07", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_41.pdf?download=true", "source_pages": [ 12 ], "marks": 10 }, "text_excerpt": "A sinusoidal alternating voltage has a root-mean-square (r.m.s.) potential difference (p.d.) of 7 (a)\n4.2 V and a frequency of 50 kHz.\nΩ. The alternating voltage is applied across a resistor of resistance 760 (i)\nBy considering the peak voltage, show that the maximum power dissipated by the\nresistor is 46 mW.\n[2]\nOn Fig. 7.1, draw a smooth curve to show how the power P dissipated in the resistor (ii)\nμs. varies with time t between t = 0 and t = 40 Assume that P = 0 when t = 0.\n50\n/ mW P\n25\n0\n0 10 20 30 40\nμs / t\nFig. 7.1\n[3]\nUse your line in to explain why the mean power dissipated in the resistor is 23 mW. (iii) (a)(ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\n© UCLES 2022 9702/41/O/N/22\n19\nThe alternating voltage in is now applied to a piezoelectric crystal in air. (b) (a)\nExplain what happens to the air surrounding the crystal. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nA second piezoelectric crystal is placed in the air near to the first crystal. (ii)\nExplain the effect of the surrounding air in on the second crystal. (b)(i)\n..................................................................................................................................... [1]\n[Total: 10]\n[Turn over © UCLES 2022 9702/41/O/N/22" }, { "id": "9702-2022-on-41-q08", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_41.pdf?download=true", "source_pages": [ 20 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_41.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2022-on-41-q08-p01.png" ], "answer": { "status": "available", "id": "9702-2022-on-41-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_41.pdf?download=true", "source_pages": [ 13 ], "marks": 10 }, "text_excerpt": "State what is meant by the work function energy of a metal. 8 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n1015 × Ultraviolet radiation of frequency 1.36 Hz is incident, in a vacuum, on a metal surface. (b)\nThe power of the radiation incident on the surface is 8.36 mW. Photoelectrons are emitted\n–19 × J. with a maximum kinetic energy of 3.09 10\nDetermine the number of photons incident on the surface per unit time. (i)\ns–1 number per unit time = ................................................... [2]\nΦ Calculate the work function energy of the metal. (ii)\nΦ = ...................................................... J [2]\nThe frequency of the radiation incident on the surface in is increased while the power (c) (b)\nremains constant.\nState and explain the effect of this change on:\nthe maximum kinetic energy of the photoelectrons (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nthe rate of emission of photoelectrons. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 10]\n© UCLES 2022 9702/41/O/N/22" }, { "id": "9702-2022-on-41-q09", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 9, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_41.pdf?download=true", "source_pages": [ 21 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_41.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-on-41-q09-p01.png" ], "answer": { "status": "available", "id": "9702-2022-on-41-q09", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_41.pdf?download=true", "source_pages": [ 14 ], "marks": 8 }, "text_excerpt": "State what is meant by the luminosity of a star. 9 (a)\n............................................................................................................................................. [1]\n16 × m from the Earth and has a A star in the constellation Canis Major is a distance of 8.14 10 (b)\n1027 W. The surface temperature of the star is 9830 K. luminosity of 9.86 ×\nCalculate the radiant flux intensity of the radiation from the star observed from the Earth. (i)\nGive a unit with your answer.\nradiant flux intensity = ............................................. unit ................. [2]\nDetermine the radius of the star. (ii)\nradius = ..................................................... m [2]\nExplain how the surface temperature of a distant star may be determined from the wavelength (c)\nspectrum of the light from the star.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 8]\n[Turn over © UCLES 2022 9702/41/O/N/22" }, { "id": "9702-2022-on-41-q10", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 10, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_41.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_41.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2022-on-41-q10-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2022-on-41-q10-p02.png", "9702-topic-23-nuclear-physics/assets/9702-2022-on-41-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2022-on-41-q10", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_41.pdf?download=true", "source_pages": [ 15 ], "marks": 10 }, "text_excerpt": "(15 (15 Carbon-15 C) is an isotope of carbon that undergoes radioactive decay to nitrogen-15 N), 10\n6 7\nwhich is a stable isotope of nitrogen.\nRadioactive decay is both a random and a spontaneous process.\nState what is meant by: (a)\nrandom (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nspontaneous. (ii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nA small sample of carbon-15 decays. The mass M of carbon-15 in the sample decreases with (b)\ntime t.\n–16 g). Fig. 10.1 shows the variation with t of the value of ln (M / 10\n4 –\n0 2 4 6 8 10 12\n/ s t\n5 –\n10–16 In (M / g)\n– 6\n– 7\n– 8\nFig. 10.1\nState how Fig. 10.1 demonstrates that radioactive decay is random. (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nOn Fig. 10.1, draw the straight line of best fit. [1] (ii)\n© UCLES 2022 9702/41/O/N/22\n23\nλ Show that the decay constant of carbon-15 is given by the magnitude of the gradient of (iii)\nyour line in (b)(ii).\n[1]\nλ. Give a unit with your answer. Use your line in to determine (iv) (b)(ii)\nλ = ....................................................... unit .......................... [2]\nUse your answer in to calculate the half-life of carbon-15. (v) (b)(iv)\nhalf-life = ...................................................... s [1]\nThe equation for the decay of carbon-15 can be written as (c)\n15 15 0 0 β ν C N + + .\n6 7 –1 0\nState and explain how the mass of the products of the decay must compare with the mass of\nthe carbon-15 nucleus.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 10]\n© UCLES 2022 9702/41/O/N/22\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earli" }, { "id": "9702-2022-on-42-q01", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_42.pdf?download=true", "source_pages": [ 4, 5, 6 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_42.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2022-on-42-q01-p01.png", "9702-topic-18-electric-fields/assets/9702-2022-on-42-q01-p02.png", "9702-topic-18-electric-fields/assets/9702-2022-on-42-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2022-on-42-q01", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_42.pdf?download=true", "source_pages": [ 6 ], "marks": 10 }, "text_excerpt": "Define gravitational field. 1 (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nA spherical planet can be considered as a point mass at its centre. (b)\nOn Fig. 1.1, draw gravitational field lines outside the planet to represent the gravitational (i)\nfield due to the planet.\nplanet\nFig. 1.1\n[2]\nA satellite is in a circular orbit around the planet. (ii)\nExplain, with reference to your answer in (b)(i), why the path of the satellite is circular.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2022 9702/42/O/N/22\n5\nAn object rests on the surface of the Earth at the Equator. (c)\n106 × m. The radius of the Earth is 6.4\nDetermine the centripetal acceleration of the object. (i)\ns–2 [3] centripetal acceleration = ................................................ m\nDescribe how the two forces acting on the object give rise to this centripetal acceleration. (ii)\nYou may draw a diagram if you wish.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/O/N/22\n6\nBLANK PAGE\n© UCLES 2022 9702/42/O/N/22" }, { "id": "9702-2022-on-42-q02", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_42.pdf?download=true", "source_pages": [ 7 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2022-on-42-q02-p01.png" ], "answer": { "status": "available", "id": "9702-2022-on-42-q02", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_42.pdf?download=true", "source_pages": [ 7 ], "marks": 7 }, "text_excerpt": "Define specific heat capacity. 2 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA fixed mass of water in a beaker is at atmospheric pressure. (b)\nThe initial temperature of the water is 0 °C. (i)\nThe water is supplied with thermal energy E, so that its temperature increases to 8 °C.\nThere is no net change in the volume of the water.\nUse the first law of thermodynamics to complete Table 2.1 for this process.\nTable 2.1\nthermal energy increase in internal\nwork done on water\nsupplied to water energy of water\n+ E\n[2]\nThe water is now heated so that its temperature increases by a further 8 °C to a final (ii)\ntemperature of 16 °C. This process causes the volume of the water to increase so that\nwork W is done.\nAssume that the change in internal energy is the same as in (b)(i).\nUse the first law of thermodynamics to complete Table 2.2 for this process.\nTable 2.2\nthermal energy increase in internal\nwork done on water\nsupplied to water energy of water\n[2]\nUse the information in to suggest, with a reason, how the average specific heat capacity (c) (b)\nof water between 8 °C and 16 °C compares with its average value between 0 °C and 8 °C.\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 7]\n[Turn over © UCLES 2022 9702/42/O/N/22" }, { "id": "9702-2022-on-42-q03", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_42.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2022-on-42-q03-p01.png", "9702-topic-14-temperature/assets/9702-2022-on-42-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-42-q03", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 10 }, "text_excerpt": "The equation of state for an ideal gas can be written as 3 (a)\npV = NkT.\nState the meaning of each of the symbols in this equation.\np: ...............................................................................................................................................\nV: ..............................................................................................................................................\nN: ..............................................................................................................................................\nk: ...............................................................................................................................................\nT: ..............................................................................................................................................\n[3]\nof a molecule Use the equation in to show that the average translational kinetic energy E (b) (a)\nK\nof an ideal gas is given by\n3\n= kT. E\n2 K\n[2]\n–26 × kg. Assume that oxygen behaves as an ideal The mass of an oxygen molecule is 5.31 10 (c)\ngas.\nUse the equation in to determine the root-mean-square (r.m.s.) speed u of an oxygen (i) (b)\nmolecule at 23 °C.\n–1 [3] u = ................................................ m s\n© UCLES 2022 9702/42/O/N/22\n9\nA fixed mass of oxygen gas at initial pressure P is sealed in a cylindrical container by a (ii)\nmovable piston at one end, as shown in Fig. 3.1.\noxygen\npiston\ncylinder\nFig. 3.1\nThe temperature of the gas is 23 °C.\nThe piston is slowly moved into the cylinder so that the oxygen gas is compressed. At all\ntimes, the gas and the container remain in thermal equilibrium with the surroundings.\nOn Fig. 3.2, sketch the variation with pressure of the r.m.s. speed of the oxygen\nmolecules as the pressure increases.\nr.m.s. speed\nu\n0\nP pressure\nFig. 3.2\n[2]\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/O/N/22" }, { "id": "9702-2022-on-42-q04", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2022-on-42-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2022-on-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-42-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 10 }, "text_excerpt": "Fig. 4.1 shows the variation with time t of the height h above the ground of an object of mass 36 kg 4\nthat is undergoing vertical simple harmonic motion.\n18\n/ cm h\n10\n2\n0 2 4 6 8\n/ s t\nFig. 4.1\nFor the oscillations of the object: (a)\n, in cm determine the amplitude x (i)\n0\nx = ................................................... cm [1]\n0\ns–1 ω is 1.6 rad show that the angular frequency (ii)\n[2]\ndetermine the total energy E. (iii)\nE = ...................................................... J [3]\n© UCLES 2022 9702/42/O/N/22\n11\nOn Fig. 4.2, sketch the variation with h of the kinetic energy E of the object. (b)\nK\n0.4\n/ J E\nK\n0.3\n0.2\n0.1\n0\n0 5 10 15 20\nh / cm\nFig. 4.2\n[4]\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/O/N/22" }, { "id": "9702-2022-on-42-q05", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_42.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2022-on-42-q05-p01.png", "9702-topic-18-electric-fields/assets/9702-2022-on-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-42-q05", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_42.pdf?download=true", "source_pages": [ 10 ], "marks": 10 }, "text_excerpt": "Define electric potential at a point. 5 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nAn isolated conducting sphere is charged. Fig. 5.1 shows the variation of the potential V due (b)\nto the sphere with displacement x from its centre.\n0\n– – – 0 0.3 0.2 0.1 0.1 0.2 0.3\nx / m\n– 250\n/ V V\n– 500\n– 750\n– 1000\nFig. 5.1\nUse Fig. 5.1 to determine:\nthe radius of the sphere (i)\nradius = ..................................................... m [1]\nthe charge on the sphere. (ii)\ncharge = ..................................................... C [2]\n© UCLES 2022 9702/42/O/N/22\n13\nTwo spheres are identical to the sphere in (b). Each sphere has the same charge as the (c)\nsphere in (b).\nThe spheres are held in a vacuum so that their centres are separated by a distance of 0.46 m.\nAssume that the charge on each sphere is a point charge at the centre of the sphere.\nof the two spheres. Calculate the electric potential energy E (i)\nP\nE = ...................................................... J [2]\nP\nThe two spheres are now released simultaneously so that they are free to move. (ii)\nDescribe and explain the subsequent motion of the spheres.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/O/N/22" }, { "id": "9702-2022-on-42-q06", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2022-on-42-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2022-on-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-42-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_42.pdf?download=true", "source_pages": [ 11, 12 ], "marks": 10 }, "text_excerpt": "A capacitor of capacitance C and a resistor of resistance R are connected as shown in Fig. 6.1. 6\nC\nR\nFig. 6.1\nInitially, the capacitor is charged and the switch is open.\nThe switch is closed at time t = 0.\nFig. 6.2 and Fig. 6.3 show, respectively, the variations with t of the charge Q on the capacitor and\nthe potential difference (p.d.) V across the resistor.\n1.0 10\nQ / mC V / V\n0.5 5\n0 0\n0 5 10 15 0 5 10 15\nt t / s / s\nFig. 6.2 Fig. 6.3\nExplain the shape of the line in Fig. 6.3 representing the variation of V with t. (a)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n© UCLES 2022 9702/42/O/N/22\n15\nUse Fig. 6.2 to show that the time constant of the circuit in Fig. 6.1 is 5.5 s. (b)\n[3]\nUse Fig. 6.2, Fig. 6.3 and the information in to determine: (c) (b)\nμF capacitance C, in (i)\nμF C = .................................................... [2]\nkΩ. resistance R, in (ii)\nkΩ R = ................................................... [2]\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/O/N/22" }, { "id": "9702-2022-on-42-q07", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_42.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2022-on-42-q07-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2022-on-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-42-q07", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_42.pdf?download=true", "source_pages": [ 13 ], "marks": 10 }, "text_excerpt": "Define magnetic flux density. 7 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\nAn insulated rectangular coil of wire, consisting of 40 turns, is suspended in a cradle from a (b)\nnewton meter, as shown in Fig. 7.1.\nnewton meter\ncradle\ncoil\n40 turns\ncm 5.00\n3.00 cm\nFig. 7.1\nThe vertical sides of the coil have a length of 5.00 cm and the horizontal sides have a length\nof 3.00 cm. The initial reading on the newton meter is 0.563 N.\nA U-shaped magnet rests on a top-pan balance that is set to a reading of 0.00 g.\nThe lower edge of the coil is lowered into the region between the poles of the U-shaped\nmagnet, as shown in the side view in Fig. 7.2.\n© UCLES 2022 9702/42/O/N/22\n17\nnewton meter\ninitial reading 0.563 N\ncoil (viewed from the side)\npoles of magnet\ntop-pan balance\ninitial reading 0.00 g\nFig. 7.2\nThe magnetic field in the region between the poles is uniform.\nThe lower edge of the coil is entirely within the uniform magnetic field.\nA current of 3.94 A is now passed through the coil. This causes the reading on the top-pan\nbalance to change to 2.16 g.\nExplain why the current causes a vertical force to act on the coil. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nDetermine, to three significant figures, the flux density B of the uniform magnetic field. (ii)\nB = ...................................................... T [3]\nDetermine what is now the reading on the newton meter. Explain your reasoning. (iii)\nreading = ..................................................... N [2]\n[Total: 10]\n[Turn over © UCLES 2022 9702/42/O/N/22" }, { "id": "9702-2022-on-42-q08", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2022-on-42-q08-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2022-on-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-42-q08", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_42.pdf?download=true", "source_pages": [ 14 ], "marks": 11 }, "text_excerpt": "State Lenz’s law of electromagnetic induction. 8 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nTwo coils of insulated wire are wound on an iron bar, as shown in Fig. 8.1. (b)\ncoil 1 coil 2\niron bar\nI\n1\nV\nV\n2\nFig. 8.1\nI in coil 1 that varies with time t as shown in Fig. 8.2. There is a current\n1\n1.0\nI / A\n1\n0.5\n0\n0 0.02 0.04 0.06 0.08\nt / s\n– 0.5\n– 1.0\nFig. 8.2\n© UCLES 2022 9702/42/O/N/22\n19\nI The variation with t of can be represented by the equation (i)\n1\nI = X sin Yt\n1\nwhere X and Y are constants.\nUse Fig. 8.2 to determine the values of X and Y. Give units with your answers.\nX = ........................................... unit ...................\nY = ........................................... unit ...................\n[3]\nThe current in coil 1 gives rise to a magnetic field in the iron bar. (ii)\nI . Assume that the flux density of this magnetic field is proportional to\n1\nAn alternating electromotive force (e.m.f.) is induced across coil 2. The p.d. across coil 2\nis measured using the voltmeter and has a root-mean-square (r.m.s.) value of 4.6 V.\nbetween t = 0 and t = 0.08 s. On Fig. 8.3, sketch a line to show the variation with t of V\n2\n10\nV / V\n2\n5\n0\n0 0.02 0.04 0.06 0.08\nt / s\n– 5\n– 10\nFig. 8.3\n[3]\nUse the laws of electromagnetic induction to explain the shape of your line in (b)(ii). (iii)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n[Total: 11]\n[Turn over © UCLES 2022 9702/42/O/N/22" }, { "id": "9702-2022-on-42-q09", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_42.pdf?download=true", "source_pages": [ 20, 21, 22 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_42.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-on-42-q09-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-on-42-q09-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-on-42-q09-p03.png" ], "answer": { "status": "available", "id": "9702-2022-on-42-q09", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_42.pdf?download=true", "source_pages": [ 15 ], "marks": 13 }, "text_excerpt": "Fig. 9.1 shows the visible part of the emission spectrum from hydrogen gas in a laboratory on 9 (a)\nthe Earth. The numbers indicate the wavelength, in nm, represented by each line.\n411 435 488 658\nFig. 9.1\nExplain how the emission spectrum provides evidence for the existence of discrete (i)\nenergy levels for the electron in a hydrogen atom.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nFig. 9.2 shows five of the energy levels in the hydrogen atom. The wavelengths of (ii)\nradiation shown in Fig. 9.1 relate to transitions to the – 3.400 eV level in Fig. 9.2.\n– 0.378 eV\n– 0.544 eV\n– 0.850 eV\nenergy\nX\n– 3.400 eV\n(not to scale) Fig. 9.2\nShow that the energy level X is –1.51 eV.\n[3]\n© UCLES 2022 9702/42/O/N/22\n21\nThe same part of the emission spectrum from hydrogen as in (a), observed in light from stars (b)\nin a distant galaxy, is shown in Fig. 9.3. The numbers indicate the wavelengths in nm.\n429 454 509 686\nFig. 9.3\nThe spectrum shows the same pattern as Fig. 9.1 but with different wavelengths.\nState the name of the phenomenon that gives rise to the change in the wavelengths. (i)\n..................................................................................................................................... [1]\nState what this phenomenon shows about the motion of the galaxy. (ii)\n..................................................................................................................................... [1]\nUse one of the lines in Fig. 9.1, and the corresponding line in Fig. 9.3, to determine the (iii)\nspeed of the distant galaxy relative to the observer.\n–1 [3] speed = ................................................ m s\n1024 × m from the Earth. The galaxy in is known to be a distance of 5.7 (c) (b)\n. Use your answer in to determine a value for the Hubble constant H (b)(iii)\n0\ns–1 H = ................................................... [2]\n0\n[Total: 13]\n[Turn over © UCLES 2022 9702/42/O/N/22\n22\nBLANK PAGE\n© UCLES 2022 9702/42/O/N/22" }, { "id": "9702-2022-on-42-q10", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_42.pdf?download=true", "source_pages": [ 23, 24 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2022-on-42-q10-p01.png", "9702-topic-24-medical-physics/assets/9702-2022-on-42-q10-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-42-q10", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_42.pdf?download=true", "source_pages": [ 16 ], "marks": 9 }, "text_excerpt": "Positron emission tomography (PET scanning) involves the detection of gamma-radiation in order 10\nto identify the position of origin of positrons in the body.\nPositrons are not naturally present in the body. (a) (i)\nExplain how positrons come to be present in the body during PET scanning.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nExplain how positrons cause the emission of gamma-radiation from the body during PET (ii)\nscanning.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nShow that the wavelength of the gamma-radiation that is detected during PET scanning is (b)\napproximately 2.4 pm. Explain your reasoning.\n[4]\n[Total: 9]\n© UCLES 2022 9702/42/O/N/22\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge\nLocal Examinations Syndicate (UCLES), which is a department of the University of Cambridge.\n© UCLES 2022 9702/42/O/N/22" }, { "id": "9702-2022-on-43-q01", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_43.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_43.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2022-on-43-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2022-on-43-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-43-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_43.pdf?download=true", "source_pages": [ 6 ], "marks": 9 }, "text_excerpt": "State the equation for the gravitational force F between two point masses m and m that are 1 (a)\n1 2\nseparated by a distance r. State the meaning of any other symbols you use.\n[2]\nA satellite is in a circular orbit of radius R around a planet of mass M. (b)\nShow that the period T of the orbit is given by\n2 kR3 = T\nwhere k is a constant that depends on the value of M. Explain your reasoning.\n[3]\nA satellite is in a circular orbit around the Earth with a period of 24 hours. (c)\n1024 × kg. The mass of the Earth is 6.0\nCalculate the radius of the orbit. (i)\nradius = ..................................................... m [2]\n© UCLES 2022 9702/43/O/N/22\n5\nState the other conditions that must be met for the orbit to be geostationary. (ii) two\n1 ........................................................................................................................................\n...........................................................................................................................................\n2 ........................................................................................................................................\n...........................................................................................................................................\n[2]\n[Total: 9]\n[Turn over © UCLES 2022 9702/43/O/N/22" }, { "id": "9702-2022-on-43-q02", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 2, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_43.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_43.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2022-on-43-q02-p01.png", "9702-topic-14-temperature/assets/9702-2022-on-43-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-43-q02", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_43.pdf?download=true", "source_pages": [ 7 ], "marks": 10 }, "text_excerpt": "Fig. 2.1 shows a laboratory thermometer that is calibrated to measure temperature in degrees 2\nCelsius.\nglass tube bulb\n-10 0 10 20 30 40 50\nmercury capillary\nFig. 2.1\nThe thermometer makes use of the fact that the density of mercury varies with temperature.\nState other physical properties of materials, apart from the density of a liquid, that can be (a) two\nused for measuring temperature.\n1 ................................................................................................................................................\n2 ................................................................................................................................................\n[2]\nThe thermometer is initially at 23.0 °C, as shown in Fig. 2.1. It is used to measure the (b)\ntemperature of an insulated beaker of water that is at 37.4 °C. The bulb of the thermometer is\ninserted into the water, and the water is stirred until the reading on the thermometer becomes\nsteady.\nThe mass of water in the beaker is 18.7 g.\nThe mass of mercury in the thermometer is 6.94 g.\n–1 K–1. The specific heat capacity of water is 4.18 J g\ng–1 K–1. The specific heat capacity of mercury is 0.140 J\nThe glass of the thermometer and the beaker containing the water can be considered to have\nnegligible heat capacity.\nCalculate, to three significant figures, the final steady temperature indicated by the (i)\nthermometer in the water.\ntemperature = .................................................... °C [4]\n© UCLES 2022 9702/43/O/N/22\n7\nSuggest change that could be made to the design of the thermometer that would (ii) one\nenable it to give a more accurate measurement of temperature.\n...........................................................................................................................................\n..................................................................................................................................... [1]\nExplain why the thermometer in Fig. 2.1 does provide a direct measurement of (c) (i) not\nthermodynamic temperature.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nThermodynamic temperature T may be determined by the behaviour of a type of (ii)\nsubstance for which T is proportional to the product of pressure and volume.\nState the name of this type of substance.\n..................................................................................................................................... [1]\n[Total: 10]\n[Turn over © UCLES 2022 9702/43/O/N/22" }, { "id": "9702-2022-on-43-q03", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 3, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_43.pdf?download=true", "source_pages": [ 8, 9, 10, 11 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_43.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2022-on-43-q03-p01.png", "9702-topic-17-oscillations/assets/9702-2022-on-43-q03-p02.png", "9702-topic-17-oscillations/assets/9702-2022-on-43-q03-p03.png", "9702-topic-17-oscillations/assets/9702-2022-on-43-q03-p04.png" ], "answer": { "status": "available", "id": "9702-2022-on-43-q03", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_43.pdf?download=true", "source_pages": [ 8 ], "marks": 11 }, "text_excerpt": "An object is suspended from a spring that is attached to a fixed point as shown in Fig. 3.1. 3\nfixed point\nspring\nobject oscillations\nequilibrium position\nFig. 3.1\nThe object oscillates vertically with simple harmonic motion about its equilibrium position.\nState the defining equation for simple harmonic motion. Identify the meaning of each of the (a)\nsymbols used to represent physical quantities.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nThe variation with displacement x from the equilibrium position of the velocity v of the object (b)\nis shown in Fig. 3.2.\n0.2\ns–1 v / m\n0.1\n0\n– 0.12 – 0.08 0.04 0 0.04 0.08 0.12 –\nx / m\n–– 00..21\n– 0.2\nFig. 3.2\n© UCLES 2022 9702/43/O/N/22\n9\nThe variation with x of the potential energy E of the oscillations of the object is shown in\nP\nFig. 3.3.\n0.050\nE / J\nP\n0.025\n0\n– 0.12 – 0.08 – 0.04 0 0.04 0.08 0.12\nx / m\nFig. 3.3\nUse Fig. 3.2 and Fig. 3.3 to:\nof the oscillations determine the amplitude x (i)\n0\nx = ..................................................... m [1]\n0\ns–1 show that the angular frequency of the oscillations is 1.7 rad (ii)\n[2]\ndetermine the mass M of the object. (iii)\nM = .................................................... kg [2]\n[Turn over © UCLES 2022 9702/43/O/N/22\n10\nThe oscillations of the object are now lightly damped. (c)\nState what is meant by damping. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nAssume that the damping does not change the angular frequency of the oscillations. (ii)\nOn Fig. 3.2, sketch the variation with x of v when the amplitude of the oscillations\nis 0.060 m. [2]\n[Total: 11]\n© UCLES 2022 9702/43/O/N/22\n11\nBLANK PAGE\n[Turn over © UCLES 2022 9702/43/O/N/22" }, { "id": "9702-2022-on-43-q04", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 4, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_43.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_43.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2022-on-43-q04-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2022-on-43-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-43-q04", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_43.pdf?download=true", "source_pages": [ 9 ], "marks": 12 }, "text_excerpt": "State what is indicated by the direction of an electric field line. 4 (a)\n...................................................................................................................................................\n............................................................................................................................................. [2]\nFig. 4.1 shows a pair of parallel metal plates with a potential difference (p.d.) of 2400 V (b)\nbetween them.\n+ 2400 V\nmetal plates\n4.6 cm\n0 V\nFig. 4.1\nThe plates are separated by a distance of 4.6 cm. The plates are in a vacuum.\nOn Fig. 4.1, draw five lines to represent the electric field in the region between the plates. (i)\n[3]\nCalculate the strength of the electric field between the plates. (ii)\n–1 [2] electric field strength = ............................................... N C\n© UCLES 2022 9702/43/O/N/22\n13\nA moving proton enters the region between the plates from the left, as shown in Fig. 4.2. (c)\n+ 2400 V\nregion of\nelectric field\nproton\n0 V\nFig. 4.2\nThe proton is deflected by the electric field. (i)\nOn Fig. 4.2, draw a line to show the path of the proton as it moves through and out of the\nregion of the electric field. [2]\n4 He) now enters the region of the electric field along the same initial A helium nucleus ( (ii)\n2\npath as the proton and travelling at the same initial speed.\nState and explain how the final speed of the helium nucleus compares with the final\nspeed of the proton after leaving the region of the electric field.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n[Total: 12]\n[Turn over © UCLES 2022 9702/43/O/N/22" }, { "id": "9702-2022-on-43-q05", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 5, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_43.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_43.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2022-on-43-q05-p01.png", "9702-topic-19-capacitance/assets/9702-2022-on-43-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-43-q05", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_43.pdf?download=true", "source_pages": [ 10 ], "marks": 11 }, "text_excerpt": "μF A capacitor of capacitance 470 is connected to a battery of electromotive force (e.m.f.) 24 V in 5\nthe circuit of Fig. 5.1.\nX Y\nS\n24 V V\nμF 470\nP Q\nkΩ kΩ 5.6 5.6\nFig. 5.1\nThe two-way switch S is initially at position X.\nkΩ. P and Q are identical long straight wires, each with a resistance of 5.6 These wires are placed\nnear to, and parallel to, each other. Wire Q is connected to a voltmeter.\nAt time t = 0, switch S is moved to position Y so that the capacitor discharges through wire P.\non the capacitor at time t = 0. Calculate the charge Q (a) (i)\n0\nQ = ..................................................... C [2]\n0\nI in wire P at time t = 0. Calculate the current (ii)\n0\nI = ...................................................... A [1]\n0\n© UCLES 2022 9702/43/O/N/22\n15\nτ Calculate the time constant of the discharge circuit. (iii)\nτ = ...................................................... s [2]\nI On Fig. 5.2, sketch a line to show the variation with t of the current in wire P as the (iv)\ncapacitor discharges.\nI\n0\nI\n0\n0 t\nFig. 5.2\n[2]\nExplain why there is an induced e.m.f. across wire Q during the discharge of the (b) (i)\ncapacitor.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nOn Fig. 5.3, sketch a line to suggest the variation with t of the voltmeter reading V. (ii)\nV\n0\n0 t\nFig. 5.3\n[1]\n[Total: 11]\n[Turn over © UCLES 2022 9702/43/O/N/22" }, { "id": "9702-2022-on-43-q06", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_43.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2022-on-43-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2022-on-43-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-43-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_43.pdf?download=true", "source_pages": [ 11 ], "marks": 9 }, "text_excerpt": "Fig. 6.1 shows a thin slice of semiconducting material used in a Hall probe. 6\nI\nQ R\nX Y\nP S\nW Z\nI\n(not to scale) Fig. 6.1\nI Current passes through the slice in the direction shown.\nThe slice is placed in a uniform magnetic field of flux density B, so that two of its faces are\nperpendicular to the magnetic field.\nis developed between face PQXW and face SRYZ. A steady Hall voltage V\nH\nUse the letters in Fig. 6.1 to identify the faces that are perpendicular to the magnetic (a) (i)\nfield.\n....................................................... and ....................................................... [1]\nis developed between faces PQXW and SRYZ. Explain how the steady Hall voltage V (ii)\nH\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n© UCLES 2022 9702/43/O/N/22\n17\nThe magnitude of V is given by the equation (b)\nH\nBI\n= . V\nH ntq\nState the meaning of the symbols n, t and q. You may refer to the letters in Fig. 6.1. (i)\nn: .......................................................................................................................................\nt: ........................................................................................................................................\nq: .......................................................................................................................................\n[3]\nSuggest, with reference to the equation, why the slice of the material used in a Hall (ii)\nprobe is thin.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 9]\n[Turn over © UCLES 2022 9702/43/O/N/22" }, { "id": "9702-2022-on-43-q07", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 7, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_43.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_43.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2022-on-43-q07-p01.png", "9702-topic-21-alternating-currents/assets/9702-2022-on-43-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2022-on-43-q07", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_43.pdf?download=true", "source_pages": [ 12 ], "marks": 10 }, "text_excerpt": "A sinusoidal alternating voltage has a root-mean-square (r.m.s.) potential difference (p.d.) of 7 (a)\n4.2 V and a frequency of 50 kHz.\nΩ. The alternating voltage is applied across a resistor of resistance 760 (i)\nBy considering the peak voltage, show that the maximum power dissipated by the\nresistor is 46 mW.\n[2]\nOn Fig. 7.1, draw a smooth curve to show how the power P dissipated in the resistor (ii)\nμs. varies with time t between t = 0 and t = 40 Assume that P = 0 when t = 0.\n50\n/ mW P\n25\n0\n0 10 20 30 40\nμs / t\nFig. 7.1\n[3]\nUse your line in to explain why the mean power dissipated in the resistor is 23 mW. (iii) (a)(ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\n© UCLES 2022 9702/43/O/N/22\n19\nThe alternating voltage in is now applied to a piezoelectric crystal in air. (b) (a)\nExplain what happens to the air surrounding the crystal. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nA second piezoelectric crystal is placed in the air near to the first crystal. (ii)\nExplain the effect of the surrounding air in on the second crystal. (b)(i)\n..................................................................................................................................... [1]\n[Total: 10]\n[Turn over © UCLES 2022 9702/43/O/N/22" }, { "id": "9702-2022-on-43-q08", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_43.pdf?download=true", "source_pages": [ 20 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_43.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2022-on-43-q08-p01.png" ], "answer": { "status": "available", "id": "9702-2022-on-43-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_43.pdf?download=true", "source_pages": [ 13 ], "marks": 10 }, "text_excerpt": "State what is meant by the work function energy of a metal. 8 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n1015 × Ultraviolet radiation of frequency 1.36 Hz is incident, in a vacuum, on a metal surface. (b)\nThe power of the radiation incident on the surface is 8.36 mW. Photoelectrons are emitted\n–19 × J. with a maximum kinetic energy of 3.09 10\nDetermine the number of photons incident on the surface per unit time. (i)\ns–1 number per unit time = ................................................... [2]\nΦ Calculate the work function energy of the metal. (ii)\nΦ = ...................................................... J [2]\nThe frequency of the radiation incident on the surface in is increased while the power (c) (b)\nremains constant.\nState and explain the effect of this change on:\nthe maximum kinetic energy of the photoelectrons (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nthe rate of emission of photoelectrons. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 10]\n© UCLES 2022 9702/43/O/N/22" }, { "id": "9702-2022-on-43-q09", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 9, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_43.pdf?download=true", "source_pages": [ 21 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_43.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2022-on-43-q09-p01.png" ], "answer": { "status": "available", "id": "9702-2022-on-43-q09", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_43.pdf?download=true", "source_pages": [ 14 ], "marks": 8 }, "text_excerpt": "State what is meant by the luminosity of a star. 9 (a)\n............................................................................................................................................. [1]\n16 × m from the Earth and has a A star in the constellation Canis Major is a distance of 8.14 10 (b)\n1027 W. The surface temperature of the star is 9830 K. luminosity of 9.86 ×\nCalculate the radiant flux intensity of the radiation from the star observed from the Earth. (i)\nGive a unit with your answer.\nradiant flux intensity = ............................................. unit ................. [2]\nDetermine the radius of the star. (ii)\nradius = ..................................................... m [2]\nExplain how the surface temperature of a distant star may be determined from the wavelength (c)\nspectrum of the light from the star.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 8]\n[Turn over © UCLES 2022 9702/43/O/N/22" }, { "id": "9702-2022-on-43-q10", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 10, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_43.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_43.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2022-on-43-q10-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2022-on-43-q10-p02.png", "9702-topic-23-nuclear-physics/assets/9702-2022-on-43-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2022-on-43-q10", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_43.pdf?download=true", "source_pages": [ 15 ], "marks": 10 }, "text_excerpt": "(15 (15 Carbon-15 C) is an isotope of carbon that undergoes radioactive decay to nitrogen-15 N), 10\n6 7\nwhich is a stable isotope of nitrogen.\nRadioactive decay is both a random and a spontaneous process.\nState what is meant by: (a)\nrandom (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nspontaneous. (ii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nA small sample of carbon-15 decays. The mass M of carbon-15 in the sample decreases with (b)\ntime t.\n–16 g). Fig. 10.1 shows the variation with t of the value of ln (M / 10\n4 –\n0 2 4 6 8 10 12\n/ s t\n5 –\n10–16 In (M / g)\n– 6\n– 7\n– 8\nFig. 10.1\nState how Fig. 10.1 demonstrates that radioactive decay is random. (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nOn Fig. 10.1, draw the straight line of best fit. [1] (ii)\n© UCLES 2022 9702/43/O/N/22\n23\nλ Show that the decay constant of carbon-15 is given by the magnitude of the gradient of (iii)\nyour line in (b)(ii).\n[1]\nλ. Give a unit with your answer. Use your line in to determine (iv) (b)(ii)\nλ = ....................................................... unit .......................... [2]\nUse your answer in to calculate the half-life of carbon-15. (v) (b)(iv)\nhalf-life = ...................................................... s [1]\nThe equation for the decay of carbon-15 can be written as (c)\n15 15 0 0 β ν C N + + .\n6 7 –1 0\nState and explain how the mass of the products of the decay must compare with the mass of\nthe carbon-15 nucleus.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 10]\n© UCLES 2022 9702/43/O/N/22\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earli" }, { "id": "9702-2022-on-51-q01", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "51", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_51.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-on-51-q01-p01.png", "9702-practical-skills/assets/9702-2022-on-51-q01-p02.png", "9702-practical-skills/assets/9702-2022-on-51-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2022-on-51-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_51.pdf?download=true", "source_pages": [ 5, 6 ], "marks": 15 }, "text_excerpt": "A thin copper sheet is suspended from a small hole near the top of the sheet and placed in a 1\nmagnetic field, as shown in Fig. 1.1.\nt\nhole\ncopper sheet\narea A\ndirection of\nmagnetic field\n(not to scale) Fig. 1.1\nThe sheet has area A and thickness t.\nand then The sheet is displaced from its equilibrium position through a horizontal distance s\n0\nreleased so that it oscillates perpendicular to the direction of the magnetic field. The horizontal\ndistance s of the sheet from its equilibrium position is measured after five complete oscillations.\nIt is suggested that s is related to A by the relationship\ne–ABKt s = s\n0\nwhere B is the magnetic flux density of the field and K is a constant.\nPlan a laboratory experiment to test the relationship between s and A.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine a value for K.\nIn your plan you should include:\nthe procedure to be followed ●\nthe measurements to be taken ●\nthe control of variables ●\nthe analysis of the data ●\nany safety precautions to be taken. ●\n© UCLES 2022 9702/51/O/N/22\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n................................................................................................" }, { "id": "9702-2022-on-51-q02", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "51", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_51.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-on-51-q02-p01.png", "9702-practical-skills/assets/9702-2022-on-51-q02-p02.png", "9702-practical-skills/assets/9702-2022-on-51-q02-p03.png", "9702-practical-skills/assets/9702-2022-on-51-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2022-on-51-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_51.pdf?download=true", "source_pages": [ 7, 8, 9 ], "marks": 15 }, "text_excerpt": "A student investigates a circuit containing resistors and a metal wire as shown in Fig. 2.1. 2\nZ P Q\ncrocodile clips\nV\nmetal wire\nY\nL\nFig. 2.1\nResistors Y and Z have resistances Y and Z respectively.\nThe student connects a resistor of resistance R between P and Q.\nThe student then adjusts the length of the wire between the crocodile clips until the voltmeter\nreads zero. The student measures the length L of wire between the crocodile clips.\nThe student repeats the experiment with different values of R.\nIt is suggested that L and R are related by the equation\n4ρL Z\n=\n2 πYd R\nρ where d is the diameter of the wire and is the resistivity of the metal.\n1\non the x-axis. A graph is plotted of L on the y-axis against (a)\nR\nDetermine an expression for the gradient.\ngradient = ......................................................... [1]\n[Turn over © UCLES 2022 9702/51/O/N/22\n6\nValues of R and L are given in Table 2.1. (b)\nEach resistance value R has a percentage uncertainty of ± 5%.\nTable 2.1\n1\nΩ R / L / cm 10–3 Ω–1 /\nR\n22 71.0\n27 57.5\n33 45.0\n39 36.5\n47 27.5\n54 23.0\n1\n10–3 Ω–1 Calculate and record values of in Table 2.1. /\nR\n1\n. [2] Include the absolute uncertainties in\nR\n1\n10–3 Ω–1. / Plot a graph of L / cm against (c) (i)\nR\n1\n. [2] Include error bars for\nR\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2022 9702/51/O/N/22\n7\n75\n70\nL / cm\n65\n60\n55\n50\n45\n40\n35\n30\n25\n20\n15 20 25 30 35 40 45 50\n1\n10–3 Ω–1 /\nR\n[Turn over © UCLES 2022 9702/51/O/N/22\n8\nThe student measures the diameter of the wire. The student’s values are: (d)\n0.263 mm 0.262 mm 0.263 mm 0.257 mm 0.262 mm 0.259 mm.\nDetermine the average diameter d. Include the absolute uncertainty in d.\nd = .................................................. mm [1]\nΩ Resistors Y and Z each have a resistance of 22 ± 5%. (e) (i)\nρ. Include an appropriate Using your answers to (a), and (d), determine the value of (c)(iii)\nunit.\nρ = ......................................................... [2]\nρ. Determine the percentage uncertainty in (ii)\nρ percentage uncertainty in = ..................................................... % [1]\nDetermine the resistance R that would give a value of L of 95.0 cm. Include the absolute (f)\nuncertainty in your answer.\nΩ R = ..................................................... [2]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\n© UCLES 2022 9702/51/O/N/22" }, { "id": "9702-2022-on-52-q01", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-on-52-q01-p01.png", "9702-practical-skills/assets/9702-2022-on-52-q01-p02.png", "9702-practical-skills/assets/9702-2022-on-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2022-on-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_52.pdf?download=true", "source_pages": [ 5, 6 ], "marks": 15 }, "text_excerpt": "A thin copper sheet is suspended from a small hole near the top of the sheet and placed in a 1\nmagnetic field, as shown in Fig. 1.1.\nz\nhole\ncopper sheet\narea A\ndirection of\nmagnetic field\n(not to scale) Fig. 1.1\nThe sheet has area A and thickness z.\nThe sheet is displaced from its equilibrium position and then released so that it oscillates\nperpendicular to the direction of the magnetic field. The time t from when the sheet is released to\nwhen it becomes stationary is measured.\nIt is suggested that t is related to z by the relationship\nq Kz\nt =\nABρ\nρ where B is the magnetic flux density of the field, is the density of copper, and K and q are\nconstants.\nPlan a laboratory experiment to test the relationship between t and z.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for K and q.\nIn your plan you should include:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2022 9702/52/O/N/22\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n........................................................................................................................." }, { "id": "9702-2022-on-52-q02", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-on-52-q02-p01.png", "9702-practical-skills/assets/9702-2022-on-52-q02-p02.png", "9702-practical-skills/assets/9702-2022-on-52-q02-p03.png", "9702-practical-skills/assets/9702-2022-on-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2022-on-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_52.pdf?download=true", "source_pages": [ 7, 8, 9 ], "marks": 15 }, "text_excerpt": "A student investigates stationary waves in a vertical tube using the apparatus shown in Fig. 2.1. 2\nfrom signal generator to oscilloscope\nloudspeaker\nstand\ntube\nbench\nFig. 2.1\nThe student slowly increases the frequency of the signal generator from zero and listens to the\nsound. The loudness of the sound varies several times between minimum and maximum as the\nfrequency is increased. The lowest frequency giving maximum loudness is identified by n = 1. The\nnext frequencies giving maximum loudness are identified by n = 2, 3, 4, 5 and 6.\nFor each value of n, the student observes the trace on the oscilloscope screen. The student\nmeasures the distance d on the screen between two successive crests, as shown in Fig. 2.2.\nd\nFig. 2.2\nThe student then determines the period T and frequency f of the signal.\nIt is suggested that f and n are related by the equation\n(2n – 1)c\nf =\n4h\nwhere c is the speed of sound in air and h is the height of the tube.\nA graph is plotted of f on the y‑axis against n on the x‑axis. (a)\nDetermine expressions for the gradient and y‑intercept.\ngradient = ...............................................................\ny‑intercept = ...............................................................\n[1]\n[Turn over © UCLES 2022 9702/52/O/N/22\n6\nThe period T and frequency f are given by the equations (b)\n1\n× . T = d time‑base and f =\nT\nValues of n, d and the time‑base of the oscilloscope are given in Table 2.1.\nTable 2.1\ntime‑base\nn d / cm T / ms f / Hz\ncm–1 / ms\n1 1.4 ± 0.2 5\n2 2.9 ± 0.2 1\n3 3.6 ± 0.2 0.5\n4 2.7 ± 0.2 0.5\n5 2.1 ± 0.2 0.5\n6 8.8 ± 0.2 0.1\nCalculate and record values of T / ms and f / Hz in Table 2.1.\nInclude the absolute uncertainties in T and f. [2]\nPlot a graph of f / Hz against n. Include error bars for f. [2] (c) (i)\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2022 9702/52/O/N/22\n7\n1200\n1100\n1000\nf / Hz\n900\n800\n700\n600\n500\n400\n300\n200\n100\n1 2 3 4 5 6 7 0\nn\n[Turn over © UCLES 2022 9702/52/O/N/22\n8\nThe student measures the height of the tube. The student’s values are: (d)\n83.5 cm 82.9 cm 83.3 cm 83.1 cm.\nDetermine the average height h. Include the absolute uncertainty in h.\nh = .................................................... cm [1]\nUsing your answers to (a), and (d), determine the value of c. Include an appropriate (e) (i) (c)(iii)\nunit.\nc = ......................................................... [2]\nDetermine the percentage uncertainty in c. (ii)\npercentage uncertainty in c = ......................................................% [1]\nThe experiment is repeated with a different tube. (f)\nWhen n = 2, the frequency is (130 ± 5) Hz.\nDetermine the height h of this tube. Include the absolute uncertainty in your answer.\nh = ..................................................." }, { "id": "9702-2022-on-53-q01", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "53", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_53.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-on-53-q01-p01.png", "9702-practical-skills/assets/9702-2022-on-53-q01-p02.png", "9702-practical-skills/assets/9702-2022-on-53-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2022-on-53-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_53.pdf?download=true", "source_pages": [ 5, 6 ], "marks": 15 }, "text_excerpt": "A thin copper sheet is suspended from a small hole near the top of the sheet and placed in a 1\nmagnetic field, as shown in Fig. 1.1.\nt\nhole\ncopper sheet\narea A\ndirection of\nmagnetic field\n(not to scale) Fig. 1.1\nThe sheet has area A and thickness t.\nand then The sheet is displaced from its equilibrium position through a horizontal distance s\n0\nreleased so that it oscillates perpendicular to the direction of the magnetic field. The horizontal\ndistance s of the sheet from its equilibrium position is measured after five complete oscillations.\nIt is suggested that s is related to A by the relationship\ne–ABKt s = s\n0\nwhere B is the magnetic flux density of the field and K is a constant.\nPlan a laboratory experiment to test the relationship between s and A.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine a value for K.\nIn your plan you should include:\nthe procedure to be followed ●\nthe measurements to be taken ●\nthe control of variables ●\nthe analysis of the data ●\nany safety precautions to be taken. ●\n© UCLES 2022 9702/53/O/N/22\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n................................................................................................" }, { "id": "9702-2022-on-53-q02", "subject": "9702", "year": 2022, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "53", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_qp_53.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2022-Oct-Nov/qp/9702_w22_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2022-on-53-q02-p01.png", "9702-practical-skills/assets/9702-2022-on-53-q02-p02.png", "9702-practical-skills/assets/9702-2022-on-53-q02-p03.png", "9702-practical-skills/assets/9702-2022-on-53-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2022-on-53-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2022-Oct-Nov/ms/9702_w22_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2022-Oct-Nov/9702_w22_ms_53.pdf?download=true", "source_pages": [ 7, 8, 9 ], "marks": 15 }, "text_excerpt": "A student investigates a circuit containing resistors and a metal wire as shown in Fig. 2.1. 2\nZ P Q\ncrocodile clips\nV\nmetal wire\nY\nL\nFig. 2.1\nResistors Y and Z have resistances Y and Z respectively.\nThe student connects a resistor of resistance R between P and Q.\nThe student then adjusts the length of the wire between the crocodile clips until the voltmeter\nreads zero. The student measures the length L of wire between the crocodile clips.\nThe student repeats the experiment with different values of R.\nIt is suggested that L and R are related by the equation\n4ρL Z\n=\n2 πYd R\nρ where d is the diameter of the wire and is the resistivity of the metal.\n1\non the x-axis. A graph is plotted of L on the y-axis against (a)\nR\nDetermine an expression for the gradient.\ngradient = ......................................................... [1]\n[Turn over © UCLES 2022 9702/53/O/N/22\n6\nValues of R and L are given in Table 2.1. (b)\nEach resistance value R has a percentage uncertainty of ± 5%.\nTable 2.1\n1\nΩ R / L / cm 10–3 Ω–1 /\nR\n22 71.0\n27 57.5\n33 45.0\n39 36.5\n47 27.5\n54 23.0\n1\n10–3 Ω–1 Calculate and record values of in Table 2.1. /\nR\n1\n. [2] Include the absolute uncertainties in\nR\n1\n10–3 Ω–1. / Plot a graph of L / cm against (c) (i)\nR\n1\n. [2] Include error bars for\nR\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2022 9702/53/O/N/22\n7\n75\n70\nL / cm\n65\n60\n55\n50\n45\n40\n35\n30\n25\n20\n15 20 25 30 35 40 45 50\n1\n10–3 Ω–1 /\nR\n[Turn over © UCLES 2022 9702/53/O/N/22\n8\nThe student measures the diameter of the wire. The student’s values are: (d)\n0.263 mm 0.262 mm 0.263 mm 0.257 mm 0.262 mm 0.259 mm.\nDetermine the average diameter d. Include the absolute uncertainty in d.\nd = .................................................. mm [1]\nΩ Resistors Y and Z each have a resistance of 22 ± 5%. (e) (i)\nρ. Include an appropriate Using your answers to (a), and (d), determine the value of (c)(iii)\nunit.\nρ = ......................................................... [2]\nρ. Determine the percentage uncertainty in (ii)\nρ percentage uncertainty in = ..................................................... % [1]\nDetermine the resistance R that would give a value of L of 95.0 cm. Include the absolute (f)\nuncertainty in your answer.\nΩ R = ..................................................... [2]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\n© UCLES 2022 9702/53/O/N/22" }, { "id": "9702-2023-m-42-q01", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_42.pdf?download=true", "source_pages": [ 4, 5, 6, 7 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_42.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2023-m-42-q01-p01.png", "9702-topic-18-electric-fields/assets/9702-2023-m-42-q01-p02.png", "9702-topic-18-electric-fields/assets/9702-2023-m-42-q01-p03.png", "9702-topic-18-electric-fields/assets/9702-2023-m-42-q01-p04.png" ], "answer": { "status": "available", "id": "9702-2023-m-42-q01", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_42.pdf?download=true", "source_pages": [ 6, 7 ], "marks": 12 }, "text_excerpt": "Define gravitational potential at a point. 1 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nArtemis is a spherical planet that may be assumed to be isolated in space. The variation with (b)\nφ is shown in Fig. 1.1. distance x from the centre of Artemis of the gravitational potential\n/107 x m\n0 1 2 3\n0\n–0.5\n–1.0\n–1.5\n–2.0\n–2.5\n–3.0\nφ/107 kg–1 J\n–3.5\n–4.0\nFig. 1.1\n© UCLES 2023 9702/42/F/M/23\n5\nThe radius of Artemis is 4800 km. (i)\nφ on the surface of Artemis. Determine the value of\nkg–1 φ = ............................................... J [1]\n1024 × kg. Show that the mass of Artemis is 2.55 (ii)\n[1]\nCalculate the gravitational field strength g on the surface of Artemis. (iii)\nkg–1 g = .............................................. N [2]\nA satellite is in an orbit at a fixed position above a point on the surface of Artemis. The (iv)\nsatellite is located above the equator of Artemis at a height above the surface where the\n7 kg–1. × J gravitational potential is – 0.65 10\nCalculate the period, in hours, of rotation of Artemis.\nperiod = ............................................... hours [4]\n[Turn over © UCLES 2023 9702/42/F/M/23\n6\nState similarity and difference between gravitational potential due to a point mass (c) one one\nand electric potential due to a point charge.\nsimilarity ....................................................................................................................................\n...................................................................................................................................................\ndifference ..................................................................................................................................\n...................................................................................................................................................\n[2]\n[Total: 12]\n© UCLES 2023 9702/42/F/M/23\n7\nBLANK PAGE\n[Turn over © UCLES 2023 9702/42/F/M/23" }, { "id": "9702-2023-m-42-q02", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2023-m-42-q02-p01.png", "9702-topic-16-thermodynamics/assets/9702-2023-m-42-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2023-m-42-q02", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_42.pdf?download=true", "source_pages": [ 7, 8 ], "marks": 12 }, "text_excerpt": "State what is meant by an ideal gas. 2 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA fixed amount of helium gas is sealed in a container. The helium gas has a pressure of (b)\n5 cm3 × Pa, and a volume of 540 at a temperature of 27 °C. 1.10 10\ncm3. The pressure of the helium gas The volume of the container is rapidly decreased to 30.0\n106 × Pa and its temperature increases to 742 °C, as illustrated in Fig. 2.1. increases to 6.70\ninitial state final state\n106 5 × × 6.70 Pa Pa 1.10 10\ncm3 cm3 30.0 540\n742 °C 27 °C\nFig. 2.1\nNo thermal energy enters or leaves the helium gas during this process.\nShow that the helium gas behaves as an ideal gas. (i)\n[2]\nThe first law of thermodynamics may be expressed as (ii)\nΔU = q + W.\nUse the first law of thermodynamics to explain why the temperature of the helium gas\nincreases.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2023 9702/42/F/M/23\n9\nThe average translational kinetic energy E of a molecule of an ideal gas is given by (iii)\nK\n3\n= kT E\nK 2\nwhere k is the Boltzmann constant and T is the thermodynamic temperature.\nCalculate the change in the total kinetic energy of the molecules of the helium gas.\nchange in kinetic energy = ...................................................... J [3]\nThe mass of nitrogen gas in another container is 24.0 g at a temperature of 27 °C. The gas is (c)\ncooled to its boiling point of –196 °C. Assume all the gas condenses to a liquid.\n–1 K–1. For this change the specific heat capacity of nitrogen gas is 1.04 kJ kg\nkg–1. The specific latent heat of vaporisation of nitrogen is 199 kJ\nDetermine the thermal energy, in kJ, removed from the nitrogen gas.\nenergy = .................................................... kJ [3]\n[Total: 12]\n[Turn over © UCLES 2023 9702/42/F/M/23" }, { "id": "9702-2023-m-42-q03", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_42.pdf?download=true", "source_pages": [ 10, 11, 12, 13 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2023-m-42-q03-p01.png", "9702-topic-17-oscillations/assets/9702-2023-m-42-q03-p02.png", "9702-topic-17-oscillations/assets/9702-2023-m-42-q03-p03.png", "9702-topic-17-oscillations/assets/9702-2023-m-42-q03-p04.png" ], "answer": { "status": "available", "id": "9702-2023-m-42-q03", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 10 }, "text_excerpt": "An object is suspended from a vertical spring as shown in Fig. 3.1. 3\nspring\nobject\noscillation\nFig. 3.1\nThe object is displaced vertically and then released so that it oscillates, undergoing simple\nharmonic motion.\nFig. 3.2 shows the variation with displacement x of the energy E of the oscillations.\n7.0\nP\n6.0\n5.0\n4.0\nQ\nE / mJ\n3.0\nR\n2.0\n1.0\n0\n–1.6 –1.2 –0.8 –0.4 0 0.4 0.8 1.2 1.6\nx / cm\nFig. 3.2\n© UCLES 2023 9702/42/F/M/23\n11\nThe kinetic energy, the potential energy and the total energy of the oscillations are each\nrepresented by one of the lines P, Q and R.\nState the energy that is represented by each of the lines P, Q and R. (a)\nP ...............................................................................................................................................\nQ ...............................................................................................................................................\nR ...............................................................................................................................................\n[2]\nThe object has a mass of 130 g. (b)\nDetermine the period of the oscillations.\nperiod = ...................................................... s [4]\nState the cause of damping. (c) (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nA light card is attached to the object. The object is displaced with the same initial (ii)\namplitude and then released. During each complete oscillation the total energy of the\nsystem decreases by 8.0% of the total energy at the start of that oscillation.\nDetermine the decrease in total energy, in mJ, of the system by the end of the first 6\ncomplete oscillations.\nenergy lost = ................................................... mJ [2]\n[Turn over © UCLES 2023 9702/42/F/M/23\n12\nState, with a reason, the type of damping that the card introduces into the system. (iii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 10]\n© UCLES 2023 9702/42/F/M/23\n13\nBLANK PAGE\n[Turn over © UCLES 2023 9702/42/F/M/23" }, { "id": "9702-2023-m-42-q04", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_42.pdf?download=true", "source_pages": [ 14, 15, 16, 17 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_42.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2023-m-42-q04-p01.png", "9702-topic-18-electric-fields/assets/9702-2023-m-42-q04-p02.png", "9702-topic-18-electric-fields/assets/9702-2023-m-42-q04-p03.png", "9702-topic-18-electric-fields/assets/9702-2023-m-42-q04-p04.png" ], "answer": { "status": "available", "id": "9702-2023-m-42-q04", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_42.pdf?download=true", "source_pages": [ 10, 11 ], "marks": 12 }, "text_excerpt": "State Coulomb’s law. 4 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA charged sphere X is supported on an insulating stand. A second charged sphere Y is (b)\nsuspended by an insulating thread so that sphere Y is in equilibrium at the position shown in\nFig. 4.1.\nvertical\nline\nm 1.2\nthread\nsphere X sphere Y\ncharge +96 nC charge +64 nC\n0.080 m\nstand\nFig. 4.1\nThe charge on sphere X is +96 nC and the charge on sphere Y is +64 nC.\nAssume that the spheres behave as point charges.\nThe length of the thread is 1.2 m and the centres of sphere X and sphere Y are separated\nhorizontally by a distance of 0.080 m.\n© UCLES 2023 9702/42/F/M/23\n15\nOn Fig. 4.2, draw and label all the forces acting on sphere Y. (i)\nFig. 4.2\n[1]\nDetermine the mass of sphere Y. (ii)\nmass = .................................................... kg [4]\nCalculate the total electric potential energy stored between X and Y. (iii)\nenergy = ...................................................... J [1]\n[Turn over © UCLES 2023 9702/42/F/M/23\n16\nAn electron enters the region between two parallel plates P and Q, that are separated by a (c)\ndistance of 18 mm, as shown in Fig. 4.3.\nplate P\n+250 V\npath of\nelectron\n18 mm\nplate Q\nFig. 4.3\nThe space between the plates is a vacuum.\nThe potential difference between the plates is 250 V. The electric field may be assumed to be\nuniform in the region between the plates and zero outside this region.\nState the direction of the electric force on the electron when between the plates. (i)\n..................................................................................................................................... [1]\nDetermine the magnitude of the force acting on the electron due to the electric field. (ii)\nforce = ..................................................... N [2]\nExplain why the electron does follow a circular path. (iii) not\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 12]\n© UCLES 2023 9702/42/F/M/23\n17\nBLANK PAGE\n[Turn over © UCLES 2023 9702/42/F/M/23" }, { "id": "9702-2023-m-42-q05", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2023-m-42-q05-p01.png", "9702-topic-19-capacitance/assets/9702-2023-m-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2023-m-42-q05", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_42.pdf?download=true", "source_pages": [ 12, 13 ], "marks": 10 }, "text_excerpt": "A capacitor, a battery of electromotive force (e.m.f.) 12 V, a resistor R and a two-way switch are 5\nconnected in the circuit shown in Fig. 5.1.\nR\nT\nS\n12 V\nFig. 5.1\nThe switch is initially in position S. When the capacitor is fully charged, the switch is moved to\nposition T so that the capacitor discharges. At time t after the switch is moved the charge on the\ncapacitor is Q.\nμC) The variation with t of ln (Q / is shown in Fig. 5.2.\n3\n/μC) (Q ln\n2\n1\n0\n0 1 2 3 4 5\nt / s\nFig. 5.2\nμF. Show that the capacitance of the capacitor is 1.5 (a)\n[3]\n© UCLES 2023 9702/42/F/M/23\n19\nDetermine the resistance of R. (b)\nΩ resistance = ..................................................... [3]\nCalculate the energy stored in the capacitor at time t = 0. (c)\nenergy = ...................................................... J [2]\nA second identical resistor is now connected in parallel with R. (d)\nThe switch is initially in position S. When the capacitor is fully charged, the switch is moved to\nposition T so that the capacitor discharges. At time t after the switch is moved the charge on\nthe capacitor is Q.\nμC) On Fig. 5.2, sketch a line to show the variation of ln (Q / with t between time t = 0 and\ntime t = 5.0 s. [2]\n[Total: 10]\n[Turn over © UCLES 2023 9702/42/F/M/23" }, { "id": "9702-2023-m-42-q06", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_42.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2023-m-42-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2023-m-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2023-m-42-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_42.pdf?download=true", "source_pages": [ 14 ], "marks": 8 }, "text_excerpt": "A Hall probe is placed in a magnetic field. The Hall voltage is zero. The Hall probe is rotated 6 (a)\nto a new position in the magnetic field. The Hall voltage is now maximum.\nExplain these observations.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nas measured by a Hall probe is The formula for calculating the Hall voltage V (b)\nH\nBI\nV = .\nH ntq\nTable 6.1 shows the value of n for two materials.\nTable 6.1\nm–3 material n /\n1015 × silicon 9.65\n1028 × copper 8.49\nState the meaning of n. (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nExplain why a Hall probe is made from silicon rather than copper. (ii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\n© UCLES 2023 9702/42/F/M/23\n21\nA Hall probe gives a maximum reading of 24 mV when placed in a uniform magnetic field of (c)\nflux density 32 mT.\nThe same Hall probe is then placed in a magnetic field of fixed direction and varying flux\ndensity. The Hall probe is in a fixed position so that the angle between the Hall probe and the\nmagnetic field is the same as when the Hall voltage was 24 mV.\non the Hall probe with time t from time t = 0 to time t = 8.6 s is The variation of the reading V\nH\nshown in Fig. 6.1.\n40\n30\nV / mV\nH\n20\n10\n0\n0 1 2 3 4 5 6 7 8 9\n/ s t\nFig. 6.1\nA coil with 780 turns and a diameter of 3.6 cm is placed in this varying magnetic field. The\nplane of the coil is perpendicular to the field lines.\nCalculate the magnitude of the maximum electromotive force (e.m.f.) induced in the coil in the\ntime between t = 0 and t = 8.6 s.\ne.m.f. = ...................................................... V [4]\n[Total: 8]\n[Turn over © UCLES 2023 9702/42/F/M/23" }, { "id": "9702-2023-m-42-q07", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_42.pdf?download=true", "source_pages": [ 22, 23 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_42.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2023-m-42-q07-p01.png", "9702-topic-22-quantum-physics/assets/9702-2023-m-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2023-m-42-q07", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_42.pdf?download=true", "source_pages": [ 15 ], "marks": 7 }, "text_excerpt": "A beam of white light passes through a cloud of cool gas. The spectrum of the transmitted 7 (a)\nlight is viewed and contains a number of dark lines.\nExplain why these dark lines occur.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [4]\nSome energy levels for the electron in an isolated hydrogen atom are illustrated in Fig. 7.1. (b)\nn = 6\nn = 5\nn = 4\nn = 3\nenergy\nn = 2\nFig. 7.1\nTable 7.1 shows the wavelengths of photons that are emitted in the transitions to n = 2 from\nthe other energy levels shown in Fig. 7.1.\nTable 7.1\nwavelength / nm\n412\n435\n488\n658\nThe energy associated with the energy level n = 2 is – 3.40 eV.\n© UCLES 2023 9702/42/F/M/23\n23\nCalculate the energy, in J, of energy level n = 3.\nenergy = ...................................................... J [3]\n[Total: 7]\n[Turn over © UCLES 2023 9702/42/F/M/23" }, { "id": "9702-2023-m-42-q08", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_42.pdf?download=true", "source_pages": [ 24, 25 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2023-m-42-q08-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2023-m-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2023-m-42-q08", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_42.pdf?download=true", "source_pages": [ 16 ], "marks": 11 }, "text_excerpt": "(238Pu) Plutonium-238 is unstable and undergoes alpha decay. 8\n94\nComplete the equation to show the decay of plutonium-238. (a)\n........ ........\n238 α Pu U +\n94 ........ ........\n[2]\nThe power source in a space probe contains 0.874 kg of plutonium-238. Each nucleus of (b)\nplutonium-238 that decays emits 5.59 MeV of energy. The half-life of plutonium-238 is\n87.7 years.\nof nuclei of plutonium-238 in the power source. Calculate the initial number N (i)\no\nN = ......................................................... [1]\no\nDetermine the initial activity of the source. Give a unit with your answer. (ii)\nactivity = .................................. unit .................. [2]\nUse your answer in to determine the initial power output from the source due to (iii) (b)(ii)\nthe decay of plutonium-238.\npower output = ..................................................... W [2]\n© UCLES 2023 9702/42/F/M/23\n25\nThe space probe will continue to function until the power output from the plutonium in the (iv)\nsource decreases to 65.3% of its initial value.\nCalculate the time, in years, for which the space probe will function.\ntime = ............................................... years [2]\nAn alternative power source uses energy generated from the radioactive decay of (c)\npolonium-210. This isotope has a half-life of 0.378 years. The mass of the isotope needed for\nthe same initial power output as in is 3.37 g. (b)\nSuggest advantage and disadvantage of using polonium-210 as the source of one one\nenergy.\nadvantage .................................................................................................................................\n...................................................................................................................................................\ndisadvantage ............................................................................................................................\n...................................................................................................................................................\n[2]\n[Total: 11]\n[Turn over © UCLES 2023 9702/42/F/M/23" }, { "id": "9702-2023-m-42-q09", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_42.pdf?download=true", "source_pages": [ 26, 27 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_42.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2023-m-42-q09-p01.png", "9702-topic-15-ideal-gases/assets/9702-2023-m-42-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2023-m-42-q09", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_42.pdf?download=true", "source_pages": [ 17 ], "marks": 9 }, "text_excerpt": "Ultrasound is used to produce diagnostic information about internal body structures. 9\nExplain how ultrasound waves are detected. (a)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\nAn alternating voltage V varies with time t according to (b)\nω sin t. V = V\no\nThe voltage is applied to an ultrasound probe.\nThe root-mean-square (r.m.s.) voltage is 66 V. The frequency of the ultrasound generated by\nthe probe is 4.3 MHz.\nDetermine the values of\nV (i)\no\nV = ...................................................... V [1]\no\nω. (ii)\ns–1 ω = ...............................................rad [1]\nTable 9.1 contains information about air and soft tissue. (c)\nTable 9.1\nm–3 density / kg speed of ultrasound specific acoustic\ns–1 / m impedance /\n...............................\n2 × air 1.30 330 4.3 10\n106 × soft tissue 1600 1.7\nDetermine the unit for the specific acoustic impedance values shown in Table 9.1. [1] (i)\n© UCLES 2023 9702/42/F/M/23\n27\nCalculate the density of soft tissue. (ii)\nm–3 density = .............................................. kg [1]\nUse data from Table 9.1 to explain why ultrasound cannot be used to produce an image (iii)\ninside an air-filled cavity such as the lungs.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 9]\n[Turn over © UCLES 2023 9702/42/F/M/23" }, { "id": "9702-2023-m-42-q10", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_42.pdf?download=true", "source_pages": [ 28, 29, 30, 31, 32 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_42.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-m-42-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-m-42-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-m-42-q10-p03.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-m-42-q10-p04.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-m-42-q10-p05.png" ], "answer": { "status": "available", "id": "9702-2023-m-42-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_42.pdf?download=true", "source_pages": [ 18 ], "marks": 9 }, "text_excerpt": "A student observes different stars from the Earth. 10 (a)\nGive reasons why some stars appear brighter than others. two\n1 ................................................................................................................................................\n...................................................................................................................................................\n2 ................................................................................................................................................\n...................................................................................................................................................\n[2]\nState what is meant by a standard candle. (b)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nA spectral line from a star within a galaxy is observed to have a wavelength of 660.9 nm. The (c)\nsame spectral line measured in the laboratory is observed to have a wavelength of 656.3 nm.\n6 s–1. × m Show that the speed of the star relative to the Earth is 2.1 10 (i)\n[1]\nCalculate the distance to the star. (ii)\n–18 s–1. × The Hubble constant is 2.3 10\ndistance = ..................................................... m [2]\nState and explain what can be concluded about the Universe based on this change in (iii)\nobserved wavelength.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n[Total: 9]\n© UCLES 2023 9702/42/F/M/23\n29\nBLANK PAGE\n© UCLES 2023 9702/42/F/M/23\n30\nBLANK PAGE\n© UCLES 2023 9702/42/F/M/23\n31\nBLANK PAGE\n© UCLES 2023 9702/42/F/M/23\n32\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nA" }, { "id": "9702-2023-m-52-q01", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-m-52-q01-p01.png", "9702-practical-skills/assets/9702-2023-m-52-q01-p02.png", "9702-practical-skills/assets/9702-2023-m-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2023-m-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_52.pdf?download=true", "source_pages": [ 5, 6, 7 ], "marks": 15 }, "text_excerpt": "An electric pump is placed in a container of liquid. A model wind turbine is connected to the pump 1\nby a cable, as shown in Fig. 1.1.\nblades\nmoving air\npipe\nh\npump cable\nwind turbine\nbench liquid\n(not to scale) Fig. 1.1\nThe turbine is placed in moving air. As the turbine blades turn, electricity is generated and the\npump pushes liquid through a vertical pipe.\nThe frequency of rotation of the turbine blades is f. The height the liquid moves is h. The mass per\nunit time of the liquid leaving the top of the pipe is Q.\nIt is suggested that Q is related to f by the relationship\n3 Qgh = C + Df\nwhere g is the acceleration of free fall, and C and D are constants.\nPlan a laboratory experiment to test the relationship between Q and f.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for C and D.\nIn your plan you should include:\n• the procedure to be followed\n• the measurements to be taken\n• the control of variables\n• the analysis of the data\n• any safety precautions to be taken.\n© UCLES 2023 9702/52/F/M/23\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n....................................................................................................................." }, { "id": "9702-2023-m-52-q02", "subject": "9702", "year": 2023, "session": "March", "session_code": "m", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2023-March/qp/9702_m23_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-m-52-q02-p01.png", "9702-practical-skills/assets/9702-2023-m-52-q02-p02.png", "9702-practical-skills/assets/9702-2023-m-52-q02-p03.png", "9702-practical-skills/assets/9702-2023-m-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2023-m-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-March/ms/9702_m23_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-March/9702_m23_ms_52.pdf?download=true", "source_pages": [ 7, 8, 9 ], "marks": 15 }, "text_excerpt": "A student investigates standing waves in water. A sound source is placed at the bottom of a 2\ncylinder containing water. A microphone, attached to a rod, is placed above the sound source, as\nshown in Fig. 2.1.\nrod\nto oscilloscope to signal generator\nwater\nmicrophone\nbench sound source\nFig. 2.1\nThe sound source is connected to a signal generator. The microphone is connected to an\noscilloscope.\nThe signal generator is set to a frequency f. The microphone is moved up away from the sound\nsource until the maximum amplitude is observed on the oscilloscope screen. The distance d\n1\nbetween the microphone and sound source is measured.\nThe microphone is moved up a further 2.0 cm. The microphone is then moved down until the\nis measured. The maximum amplitude is observed on the oscilloscope screen. A second value d\n2\naverage value of d is calculated.\nThe experiment is repeated for different values of f.\nIt is suggested that f and d are related by the equation\nv\n= 4 (d + k)\nf\nwhere v is the speed of sound in water and k is a constant.\n1\non the x-axis. A graph is plotted of d on the y-axis against (a)\nf\nDetermine expressions for the gradient and the y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2023 9702/52/F/M/23\n6\nValues of f, d and d are given in Table 2.1. (b)\n1 2\nTable 2.1\n1\n103 10–3 Hz–1 f / Hz d / cm d / cm d / cm /\n1 2 f\n1.5 24.9 24.5\n2.1 17.2 17.6\n2.8 12.4 13.0\n4.1 8.1 8.7\n5.2 6.2 7.0\n7.6 5.0 4.2\n1\n10–3 Hz–1 Calculate and record values of and d / cm in Table 2.1. /\nf\nInclude the absolute uncertainties in d. [2]\n1\n10–3 Hz–1. / Plot a graph of d / cm against (c) (i)\nf\nInclude error bars for d. [2]\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2023 9702/52/F/M/23\n7\n26.0\n24.0\n/ cm d\n22.0\n20.0\n18.0\n16.0\n14.0\n12.0\n10.0\n8.0\n6.0\n4.0\n0 0.1 0.2 0.3 0.4 0.5 0.6 0.7\n1\n10–3 Hz–1 /\nf\n[Turn over © UCLES 2023 9702/52/F/M/23\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = .......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of v and k. Include (d) (c)(iii)\nappropriate units and include the absolute uncertainties in your answers.\nv = ...............................................................\nk = ...............................................................\n[3]\nThe experiment is repeated. Determine the frequency f that gives a value of d of 30.0 cm. (e)\nf = .................................................... Hz [1]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements" }, { "id": "9702-2023-mj-41-q01", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 1, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_41.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_41.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2023-mj-41-q01-p01.png", "9702-topic-18-electric-fields/assets/9702-2023-mj-41-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-41-q01", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_41.pdf?download=true", "source_pages": [ 6 ], "marks": 11 }, "text_excerpt": "Define gravitational field. 1 (a) (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nDefine electric field. (ii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nState similarity and difference between the gravitational potential due to a point (iii) one one\nmass and the electric potential due to a point charge.\nsimilarity: ...........................................................................................................................\n...........................................................................................................................................\ndifference: ..........................................................................................................................\n...........................................................................................................................................\n[2]\nAn isolated uniform conducting sphere has mass M and charge Q. (b)\nThe gravitational field strength at the surface of the sphere is g.\nThe electric field strength at the surface of the sphere is E.\nShow that (i)\nM g\nα =\nQ E\nα is a constant. where\n[3]\n1020 kg2 C–2. α × is 1.35 Show that the numerical value of (ii)\n[1]\n© UCLES 2023 9702/41/M/J/23\n5\n1024 × Assume that the Earth is a uniform conducting sphere of mass 5.98 kg. (c)\n105 × C that is evenly distributed. The surface of the Earth carries a charge of – 4.80\nUse the information in to determine the electric field strength at the surface of the (i) (b)\nEarth. Give a unit with your answer.\nelectric field strength = .................................. unit ............... [2]\nState how the direction of the electric field at the surface of the Earth compares with the (ii)\ndirection of the gravitational field.\n..................................................................................................................................... [1]\n[Total: 11]\n[Turn over © UCLES 2023 9702/41/M/J/23" }, { "id": "9702-2023-mj-41-q02", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 2, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_41.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_41.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2023-mj-41-q02-p01.png", "9702-topic-17-oscillations/assets/9702-2023-mj-41-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-41-q02", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_41.pdf?download=true", "source_pages": [ 7, 8 ], "marks": 12 }, "text_excerpt": "A steel sphere of mass 0.29 kg is suspended in equilibrium from a vertical spring. The centre of 2\nthe sphere is 8.5 cm from the top of the spring, as shown in Fig. 2.1.\nspring\n8.5 cm\nsteel sphere,\nmass 0.29 kg\nFig. 2.1\nThe sphere is now set in motion so that it is moving in a horizontal circle at constant speed, as\nshown in Fig. 2.2.\n27°\n10.8 cm\npath of sphere\nr\nFig. 2.2\nThe distance from the centre of the sphere to the top of the spring is now 10.8 cm.\nExplain, with reference to the forces acting on the sphere, why the length of the spring in (a)\nFig. 2.2 is greater than in Fig. 2.1.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n© UCLES 2023 9702/41/M/J/23\n7\nThe angle between the linear axis of the spring and the vertical is 27°. (b)\nShow that the radius r of the circle is 4.9 cm. (i)\n[1]\nShow that the tension in the spring is 3.2 N. (ii)\n[2]\nThe spring obeys Hooke’s law. (iii)\n–1, of the spring. Calculate the spring constant, in N cm\ncm–1 [2] spring constant = ............................................. N\nUse the information in to determine the centripetal acceleration of the sphere. (c) (i) (b)\ns–2 [2] centripetal acceleration = ................................................ m\nCalculate the period of the circular motion of the sphere. (ii)\nperiod = ...................................................... s [2]\n[Total: 12]\n[Turn over © UCLES 2023 9702/41/M/J/23" }, { "id": "9702-2023-mj-41-q03", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 3, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_41.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_41.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2023-mj-41-q03-p01.png", "9702-topic-14-temperature/assets/9702-2023-mj-41-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-41-q03", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_41.pdf?download=true", "source_pages": [ 9 ], "marks": 11 }, "text_excerpt": "State the reason why two objects that are at the same temperature are described as being in 3 (a)\nthermal equilibrium.\n...................................................................................................................................................\n............................................................................................................................................. [1]\nFig. 3.1 shows the variations with temperature of the densities of mercury and of water (b)\nbetween 0 °C and 100 °C.\ndensity density\nmercury\nwater\n0 100 0 100\ntemperature temperature / °C / °C\nFig. 3.1\nTemperature may be measured using the variation with temperature of the density of a liquid.\nSuggest why, for measuring temperature over this temperature range:\nmercury is a suitable liquid (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nwater is not a suitable liquid. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nA beaker contains a liquid of mass 120 g. The liquid is supplied with thermal energy at a rate (c)\n–1 K–1. The of 810 W. The beaker has a mass of 42 g and a specific heat capacity of 0.84 J g\nbeaker and the liquid are in thermal equilibrium with each other at all times and are insulated\nfrom the surroundings.\nFig. 3.2 shows the variation with time t of the temperature of the liquid.\n© UCLES 2023 9702/41/M/J/23\n9\n100\ntemperature / °C\n75\n50\n25\n0\n60 0 10 20 30 40 50\nt / s\nFig. 3.2\nState the boiling temperature, in °C, of the liquid. (i)\ntemperature = .................................................... °C [1]\n–1 K–1, of the liquid. Determine the specific heat capacity, in J g (ii)\ng–1 K–1 [4] specific heat capacity = ........................................... J\nThe experiment in is repeated using water instead of the liquid in (c). The mass of liquid (d) (c)\nused, the power supplied, and the initial temperature are all unchanged.\nThe specific heat capacity of water is approximately twice that of the liquid in (c).\nThe boiling temperature of water is 100 °C.\nOn Fig. 3.2, sketch the variation with time t of the temperature of the water between t = 0 and\nt = 60 s. Numerical calculations are not required. [2]\n[Total: 11]\n[Turn over © UCLES 2023 9702/41/M/J/23" }, { "id": "9702-2023-mj-41-q04", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 4, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_41.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_41.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2023-mj-41-q04-p01.png", "9702-topic-16-thermodynamics/assets/9702-2023-mj-41-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-41-q04", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_41.pdf?download=true", "source_pages": [ 10 ], "marks": 12 }, "text_excerpt": "State of the basic assumptions of the kinetic theory of gases. 4 (a) two\n1 ................................................................................................................................................\n...................................................................................................................................................\n2 ................................................................................................................................................\n...................................................................................................................................................\n[2]\nAn ideal gas has amount of substance n. (b)\nThe gas is initially in state X, with pressure 2p and volume V.\nThe gas is cooled at constant volume to state Y, with pressure p.\nThe gas is then heated at constant pressure to state Z, with volume 2V.\nFinally, the gas returns at constant temperature to state X.\nDetermine an expression for the temperature T of the gas in state X, in terms of n, p (i)\nand V.\nIdentify any other symbols that you use.\n[2]\nOn Fig. 4.1, sketch the variation with volume of pressure for the gas as the gas undergoes (ii)\nthe three changes. The state X is labelled. Label states Y and Z.\n2p X\npressure\np\n0\n0 V 2V\nvolume\nFig. 4.1\n[3]\n© UCLES 2023 9702/41/M/J/23\n11\nDuring the change of state from Y to Z, the increase in internal energy of the gas is U. (iii)\nDuring the change of state from Z to X, the work done on the gas is W.\nComplete Table 4.1 to indicate, for each of the three changes of state, the increase in\ninternal energy of the gas, the thermal energy transferred to the gas and the work done\non the gas, in terms of p, V, U and W.\nTable 4.1\nincrease in internal thermal energy\nchange work done on gas\nenergy of gas transferred to gas\nX to Y\nY to Z +U\nZ to X +W\n[5]\n[Total: 12]\n[Turn over © UCLES 2023 9702/41/M/J/23" }, { "id": "9702-2023-mj-41-q05", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 5, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_41.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_41.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2023-mj-41-q05-p01.png", "9702-topic-21-alternating-currents/assets/9702-2023-mj-41-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-41-q05", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_41.pdf?download=true", "source_pages": [ 11 ], "marks": 9 }, "text_excerpt": "Part of an electric circuit is shown in Fig. 5.1. 5\nmissing component\nV V\nkΩ C 14 IN OUT\nFig. 5.1\nThe circuit is used to produce half-wave rectification of an alternating voltage of potential\n. difference (p.d.) V\nIN\nkΩ . The output p.d. across the 14 resistor is V\nOUT\nA component is missing from the circuit of Fig. 5.1. (a) (i)\nComplete the circuit diagram in Fig. 5.1 by adding the circuit symbol for the missing\ncomponent, correctly connected. [1]\nA capacitor C is shown in the circuit of Fig. 5.1. (ii)\nof including the capacitor in the circuit. State the effect on V\nOUT\n..................................................................................................................................... [1]\n. Fig. 5.2 shows the variation with time t of V (b)\nIN\n7.5\nV / V\nIN\n5.0\n2.5\n0\n0 0.02 0.04 0.06 0.08\nt / s\n–2.5\n–5.0\n–7.5\nFig. 5.2\n© UCLES 2023 9702/41/M/J/23\n13\nFig. 5.3 shows the variation with t of V .\nOUT\n7.5\nV / V\nOUT\n5.0\n2.5\n0 0.02 0.04 0.06 0.08\n/ s t\nFig. 5.3\n. Determine the frequency of V (i)\nIN\nfrequency = .................................................... Hz [1]\nτ Show that the time constant for the discharge of the capacitor through the resistor is (ii)\n0.038 s.\n[2]\nCalculate the capacitance of C. Give a unit with your answer. (iii)\ncapacitance = .................................. unit ............... [2]\nThe circuit of Fig. 5.1 is modified so that it produces full-wave rectification of an input voltage. (c)\nnow varies with time when V is as shown in Fig. 5.2. Suggest, with a reason, how V\nOUT IN\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 9]\n[Turn over © UCLES 2023 9702/41/M/J/23" }, { "id": "9702-2023-mj-41-q06", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_41.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2023-mj-41-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2023-mj-41-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-41-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_41.pdf?download=true", "source_pages": [ 12 ], "marks": 10 }, "text_excerpt": "State what is meant by a magnetic field. 6 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA long, straight wire P carries a current into the page, as shown in Fig. 6.1. (b)\nwire P\ncurrent into page\nFig. 6.1\nOn Fig. 6.1, draw four field lines to represent the magnetic field around wire P due to the\ncurrent in the wire. [3]\nA second long, straight wire Q, carrying a current of 5.0 A out of the page, is placed parallel to (c)\nwire P, as shown in Fig. 6.2.\nwire P wire Q\nA current current 5.0\nout of page into page\nFig. 6.2\nThe flux density of the magnetic field at wire Q due to the current in wire P is 2.6 mT.\nCalculate the magnetic force per unit length exerted on wire Q by wire P. (i)\n–1 [2] force per unit length = ............................................... N m\n© UCLES 2023 9702/41/M/J/23\n15\nState the direction of the force exerted on wire Q by wire P. (ii)\n..................................................................................................................................... [1]\nThe flux density of the magnetic field at wire P due to the current in wire Q is 1.5 mT. (iii)\nDetermine the magnitude of the current in wire P. Explain your reasoning.\ncurrent = ...................................................... A [2]\n[Total: 10]\n[Turn over © UCLES 2023 9702/41/M/J/23" }, { "id": "9702-2023-mj-41-q07", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 7, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_41.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_41.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2023-mj-41-q07-p01.png", "9702-topic-22-quantum-physics/assets/9702-2023-mj-41-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-41-q07", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_41.pdf?download=true", "source_pages": [ 13 ], "marks": 9 }, "text_excerpt": "State what is meant by the de Broglie wavelength. 7 (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nFig. 7.1 shows a glass tube in which electrons are accelerated through a high p.d. to form a (b)\nbeam that is incident on a thin graphite crystal.\nvacuum\ngraphite crystal\nfilament fluorescent\nanode cathode screen\nelectron beam\ncollimator\n– +\nglass tube\nhigh p.d.\n(not to scale)\n(not to scale) Fig. 7.1\nAfter passing through the graphite crystal, the electrons reach the fluorescent screen. The\nscreen glows where the electrons strike it.\nFig. 7.2 shows the fluorescent screen viewed end-on, from the right-hand side of Fig. 7.1.\nFig. 7.2\n© UCLES 2023 9702/41/M/J/23\n17\nState the name of the phenomenon demonstrated by the pattern shown in Fig. 7.2. (i)\n..................................................................................................................................... [1]\nExplain what can be concluded from the pattern in Fig. 7.2 about the nature of electrons. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nThe electrons in are now accelerated through a greater potential difference between the (c) (b)\ncathode and the anode.\nOn Fig. 7.3, sketch the pattern that is now seen on the fluorescent screen in Fig. 7.1. (i)\nFig. 7.3\n[2]\nExplain, with reference to de Broglie wavelength, the change in the pattern on the (ii)\nfluorescent screen.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n[Total: 9]\n[Turn over © UCLES 2023 9702/41/M/J/23" }, { "id": "9702-2023-mj-41-q08", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 8, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_41.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_41.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2023-mj-41-q08-p01.png", "9702-topic-24-medical-physics/assets/9702-2023-mj-41-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-41-q08", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_41.pdf?download=true", "source_pages": [ 14 ], "marks": 8 }, "text_excerpt": "Table 8.1 shows some data relating to the properties of air, gel and body tissue. The data are 8 (a)\ngiven to three significant figures.\nTable 8.1\nspecific acoustic\nm–3 s–1 material density / kg speed of sound / m\nm–2 s–1 impedance / kg\nair 340 440\ngel 1200 1400\n106 × tissue 1090 1.68\n106 m–2 s–1. × Show that the specific acoustic impedance of gel is 1.68 kg (i)\n[1]\nComplete Table 8.1 by calculating the missing values to three significant figures. Use the (ii)\nspace below for any working that you need.\n[2]\nUse the information in to calculate the intensity reflection coefficient for: (b) (a)\nan air–tissue boundary (i)\nintensity reflection coefficient = ......................................................... [2]\na gel–tissue boundary. (ii)\nintensity reflection coefficient = ......................................................... [1]\n© UCLES 2023 9702/41/M/J/23\n19\nUse your answers in to explain why gel is applied to the skin during ultrasound scanning. (c) (b)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 8]\n[Turn over © UCLES 2023 9702/41/M/J/23" }, { "id": "9702-2023-mj-41-q09", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 9, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_41.pdf?download=true", "source_pages": [ 20 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_41.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2023-mj-41-q09-p01.png" ], "answer": { "status": "available", "id": "9702-2023-mj-41-q09", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_41.pdf?download=true", "source_pages": [ 15 ], "marks": 9 }, "text_excerpt": "β+ Carbon-11 is radioactive and decays by emission to form boron-11. Carbon-11 has a half-life of 9\n20 minutes. Boron-11 is stable.\nDefine half-life. (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nnuclei of carbon-11 and no other nuclei at time t = 0. A sample contains N (b)\n0\nOn Fig. 9.1, sketch the variation with t of the number of nuclei of in the sample. boron-11\n1.0 N\n0\nnumber of nuclei\n0.5 N\n0\n0\n0 20 40 60 80\n/ min t\nFig. 9.1\n[3]\nExplain, with reference to the random nature of radioactive decay, why the activity of the (c) (i)\ncarbon-11 sample in decreases with time. (b)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nState, with reasons, whether a radiation detector placed near to the sample of carbon-11 (ii)\nindicates a measured count rate from the sample that is less than, the same as or greater\nthan the activity of the sample.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n[Total: 9]\n© UCLES 2023 9702/41/M/J/23" }, { "id": "9702-2023-mj-41-q10", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_41.pdf?download=true", "source_pages": [ 21, 22, 23, 24 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_41.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-mj-41-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-mj-41-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-mj-41-q10-p03.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-mj-41-q10-p04.png" ], "answer": { "status": "available", "id": "9702-2023-mj-41-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_41.pdf?download=true", "source_pages": [ 16 ], "marks": 9 }, "text_excerpt": "State Hubble’s law. Identify any symbols that you use. 10 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n31 1024 × × W is a distance of 1.8 m from the Earth. A star of luminosity 3.8 10 (b)\nCalculate the radiant flux intensity at the Earth of the radiation emitted by the star.\nm–2 radiant flux intensity = .............................................. W [2]\nThe star in is in a distant galaxy. A spectral line in the light from this galaxy is known to (c) (b)\nhave a wavelength of 486 nm. This spectral line in the light from the galaxy observed on the\nEarth has a wavelength of 492 nm.\nExplain why the wavelength observed on the Earth is different from the wavelength that (i)\nthe galaxy is known to have emitted.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n. Determine a value for the Hubble constant H (ii)\n0\ns–1 H = ................................................... [3]\n0\n[Total: 9]\n© UCLES 2023 9702/41/M/J/23\n22\nBLANK PAGE\n© UCLES 2023 9702/41/M/J/23\n23\nBLANK PAGE\n© UCLES 2023 9702/41/M/J/23\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge\nLocal Examinations Syndicate (UCLES), which is a department of the University of Cambridge.\n© UCLES 2023 9702/41/M/J/23" }, { "id": "9702-2023-mj-42-q01", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_42.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_42.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2023-mj-42-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2023-mj-42-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-42-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_42.pdf?download=true", "source_pages": [ 6 ], "marks": 11 }, "text_excerpt": "State Newton’s law of gravitation. 1 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA satellite is in a circular orbit around a planet. The radius of the orbit is R and the period of (b)\nthe orbit is T. The planet is a uniform sphere.\nUse Newton’s law of gravitation to show that R and T are related by\n4π2R 3 2 = GMT\nwhere M is the mass of the planet and G is the gravitational constant.\n[2]\n1024 × kg and radius The Earth may be considered to be a uniform sphere of mass 5.98 (c)\n106 × m. 6.37\nA geostationary satellite is in orbit around the Earth.\nUse the expression in to determine the height of the satellite above the Earth’s surface. (b)\nheight = ..................................................... m [3]\n© UCLES 2023 9702/42/M/J/23\n5\nAnother satellite is in a circular orbit around the Earth with the same orbital radius and period (d)\nas the satellite in (c).\nCalculate the angular speed of the satellite in this orbit. Give a unit with your answer. (i)\nangular speed = .............................................. unit ................ [2]\nDespite having the same orbital period, the orbit of this satellite is not geostationary. (ii)\nSuggest ways in which the orbit of this satellite could be different from the orbit of two\nthe satellite in (c).\n1 ........................................................................................................................................\n...........................................................................................................................................\n2 ........................................................................................................................................\n...........................................................................................................................................\n[2]\n[Total: 11]\n[Turn over © UCLES 2023 9702/42/M/J/23" }, { "id": "9702-2023-mj-42-q02", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_42.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_42.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2023-mj-42-q02-p01.png", "9702-topic-14-temperature/assets/9702-2023-mj-42-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-42-q02", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_42.pdf?download=true", "source_pages": [ 7 ], "marks": 12 }, "text_excerpt": "State what is meant by an ideal gas. 2 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nState the temperature, in degrees Celsius, of absolute zero. (ii)\ntemperature = .................................................... °C [1]\nA sealed vessel contains a mass of 0.0424 kg of an ideal gas at 227 °C. (b)\n5 m3. × Pa and the volume of the gas is 0.640 The pressure of the gas is 1.37 10\nCalculate:\nthe number of molecules of the gas in the vessel (i)\nnumber of molecules = ......................................................... [3]\nthe mass of one molecule of the gas (ii)\nmass = .................................................... kg [1]\nthe root-mean-square (r.m.s.) speed v of the molecules of the gas. (iii)\n–1 [3] v = ................................................ m s\n© UCLES 2023 9702/42/M/J/23\n7\nThe gas in is now cooled gradually to absolute zero. (c) (b)\nOn Fig. 2.1, sketch the variation with thermodynamic temperature T of the r.m.s. speed of the\nmolecules of the gas.\nv\nr.m.s. speed\n0\n0 500\nT / K\nFig. 2.1\n[2]\n[Total: 12]\n[Turn over © UCLES 2023 9702/42/M/J/23" }, { "id": "9702-2023-mj-42-q03", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2023-mj-42-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2023-mj-42-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-42-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 9 }, "text_excerpt": "State the first law of thermodynamics. Identify the meaning of any symbols that you use. 3 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nThe state of an ideal gas is continuously changed according to the cycle ABCDA shown in (b)\nFig. 3.1.\nC D\npressure\nB A\nvolume\nFig. 3.1\n3 Complete Table 3.1 for the changes A to B and B to C by placing two ticks ( ) in each (i)\nrow.\nTable 3.1\nchange in internal energy work done on gas\nchange\ndecrease no change increase negative zero positive\nA to B\nB to C\n[4]\n© UCLES 2023 9702/42/M/J/23\n9\nUse the first law of thermodynamics to describe and explain the energy transfers (ii)\nassociated with one complete cycle ABCDA.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n[Total: 9]\n[Turn over © UCLES 2023 9702/42/M/J/23" }, { "id": "9702-2023-mj-42-q04", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2023-mj-42-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2023-mj-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-42-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 11 }, "text_excerpt": "A small steel sphere is oscillating vertically on the end of a spring, as shown in Fig. 4.1. 4\nspring\nsteel sphere\noscillations\nFig. 4.1\nThe velocity v of the sphere varies with displacement x from its equilibrium position according to\nx2) - (11.6 v = ± 9.7\ns–1 where v is in cm and x is in cm.\nCalculate the frequency of the oscillations. (a) (i)\nfrequency = .................................................... Hz [2]\nShow that the amplitude of the oscillations is 3.4 cm. (ii)\n[1]\nof the sphere. Calculate the maximum acceleration a (iii)\n0\ns–2 a = ................................................ m [2]\n0\n© UCLES 2023 9702/42/M/J/23\n11\nOn Fig. 4.2, sketch the variation with x of the acceleration a of the sphere. (b)\n2 a\n0\na\na\n0\n0\n– 4 – 2 0 2 4\nx / cm\n– a\n0\n– 2a\n0\nFig. 4.2\n[3]\nDescribe, without calculation, the interchange between the potential energy and the kinetic (c)\nenergy of the oscillations.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 11]\n[Turn over © UCLES 2023 9702/42/M/J/23" }, { "id": "9702-2023-mj-42-q05", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2023-mj-42-q05-p01.png", "9702-topic-19-capacitance/assets/9702-2023-mj-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-42-q05", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_42.pdf?download=true", "source_pages": [ 10 ], "marks": 9 }, "text_excerpt": "Two capacitors A and B are connected into the circuit shown in Fig. 5.1. 5\nX\nA\nS\nY\nB\nFig. 5.1\nCapacitor A has capacitance C and capacitor B has capacitance 3C.\nThe electromotive force (e.m.f.) of the cell is V.\nThe two-way switch S is initially at position X, and capacitor B is initially uncharged.\nState, in terms of V and C, expressions for: (a)\non the plates of capacitor A the initial charge Q (i)\nA\n= ......................................................... [1] Q\nA\nstored in capacitor A. the initial energy E (ii)\nA\n= .......................................................... [1] E\nA\nThe two-way switch S is now moved to position Y. (b)\nState and explain what happens to the charge that was initially on the plates of capacitor A. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2023 9702/42/M/J/23\n13\nShow that the final potential difference (p.d.) V across capacitor B is given by (ii)\nB\nV\n= V .\nB 4\nExplain your reasoning.\n[3]\nΔE Determine an expression, in terms of V and C, for the decrease in the total energy (iii)\nthat is stored in the capacitors as a result of the change of the position of the switch.\nΔE = ......................................................... [2]\n[Total: 9]\n[Turn over © UCLES 2023 9702/42/M/J/23" }, { "id": "9702-2023-mj-42-q06", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2023-mj-42-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2023-mj-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-42-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_42.pdf?download=true", "source_pages": [ 11 ], "marks": 10 }, "text_excerpt": "A heavy aluminium disc has a radius of 0.36 m. The disc rotates with the wheels of a vehicle and 6\nforms part of an electromagnetic braking system on the vehicle.\nIn order to activate the braking system, a uniform magnetic field of flux density 0.17 T is switched\non. This magnetic field is perpendicular to the plane of rotation of the disc, as shown in Fig. 6.1.\naluminium disc,\nradius 0.36 m\nrim\nrotation of disc\naxle\nmagnetic field,\nflux density 0.17 T\nFig. 6.1\nDefine magnetic flux. (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nCalculate the magnetic flux through the disc. Give a unit with your answer. (ii)\nmagnetic flux = ............................................... unit ................... [2]\n© UCLES 2023 9702/42/M/J/23\n15\nThe disc is rotating at a rate of 25 revolutions per second. (b)\nCalculate the magnitude of the electromotive force (e.m.f.) induced between the axle and the\nrim of the disc.\ne.m.f. = ...................................................... V [3]\nThe axle and the rim are connected into an external circuit that enables the energy of the (c)\nrotation of the disc to be stored for future use. The direction of rotation is shown in Fig. 6.1.\nUse Lenz’s law of electromagnetic induction to determine whether the current in the disc is\nfrom the rim to the axle or from the axle to the rim. Explain your reasoning.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 10]\n[Turn over © UCLES 2023 9702/42/M/J/23" }, { "id": "9702-2023-mj-42-q07", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_42.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2023-mj-42-q07-p01.png", "9702-topic-21-alternating-currents/assets/9702-2023-mj-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-42-q07", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_42.pdf?download=true", "source_pages": [ 12 ], "marks": 10 }, "text_excerpt": "Four diodes are used in a bridge rectifier circuit to produce rectification of a sinusoidal a.c. input 7\n. voltage V\nIN\nFig. 7.1 shows part of the circuit, but three of the diodes are missing.\nV\nIN\nV\nOUT\nR\nFig. 7.1\nof the bridge rectifier. The p.d. across the load resistor R is the output p.d. V\nOUT\nState the name of the type of rectification produced by a bridge rectifier. (a) (i)\n..................................................................................................................................... [1]\nComplete Fig. 7.1 by drawing the three missing diodes, correctly connected. [2] (ii)\nOn Fig. 7.1, draw an arrow to indicate the direction of the current in resistor R. [1] (iii)\nhas amplitude V and period T. Fig. 7.2 shows the variation with time t of V . V (b)\nIN 0 IN\nV\n0\nV\nIN\n0\n0 0.5T 1.0T 1.5T 2.0T\nt\n–V\n0\nFig. 7.2\n© UCLES 2023 9702/42/M/J/23\n17\nOn Fig. 7.3, sketch the variation of V with t between t = 0 and t = 2.0T. (i)\nOUT\nV\n0\nV\nOUT\n0\n0 0.5T 1.0T 1.5T 2.0T\nt\n–V\n0\nFig. 7.3\n[3]\nThe power dissipated in the resistor is P. (ii)\nOn Fig. 7.4, sketch the variation of P with t between t = 0 and t = 2.0T.\nP\n0\n0 0.5T 1.0T 1.5T 2.0T\nt\nFig. 7.4\n[2]\ncompares with Suggest, with a reason, how the root-mean-square (r.m.s.) value of V (iii)\nOUT\n. the r.m.s. value of V\nIN\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 10]\n[Turn over © UCLES 2023 9702/42/M/J/23" }, { "id": "9702-2023-mj-42-q08", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_42.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2023-mj-42-q08-p01.png", "9702-topic-22-quantum-physics/assets/9702-2023-mj-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-42-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_42.pdf?download=true", "source_pages": [ 13 ], "marks": 8 }, "text_excerpt": "Fig. 8.1 shows the lowest four energy levels of an electron in an isolated atom. 8\nn = 4\nn = 3\nn = 2\nincreasing\nenergy\nn = 1\nFig. 8.1\nFig. 8.2 shows the lines in the emission spectrum of the atom that correspond to the transitions of\nthe electron from n = 3 to n = 1 and from n = 4 to n = 1.\nincreasing frequency\nFig. 8.2\nExplain, with reference to photons, why there is a single frequency of electromagnetic (a)\nradiation that corresponds to each of these transitions.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nOn Fig. 8.2, draw a line that corresponds to the transition of the electron from n = 2 to n = 1. (b) (i)\nLabel this line A. [2]\nOn Fig. 8.2, draw a line that corresponds to the transition of the electron from n = 3 to n = 2. (ii)\nLabel this line B. [2]\n© UCLES 2023 9702/42/M/J/23\n19\nThe frequency of radiation represented by line A is f . (c)\nA\n. The frequency of radiation represented by line B is f\nB\n. The energy of the ground state (n = 1) is E\n1\n, f , E and the Planck constant h, for the energy E of Determine an expression, in terms of f\nA B 1 3\nthe energy level n = 3.\nE = ......................................................... [2]\n3\n[Total: 8]\n[Turn over © UCLES 2023 9702/42/M/J/23" }, { "id": "9702-2023-mj-42-q09", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_42.pdf?download=true", "source_pages": [ 20, 21, 22 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_42.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-mj-42-q09-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-mj-42-q09-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-mj-42-q09-p03.png" ], "answer": { "status": "available", "id": "9702-2023-mj-42-q09", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_42.pdf?download=true", "source_pages": [ 14 ], "marks": 11 }, "text_excerpt": "Define mass defect. 9 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nTable 9.1 shows the mass defects of three nuclei. (b)\nTable 9.1\nnucleus mass defect / u\n2 0.002 388 H\n1\n3 0.009 105 H\n1\n4 0.030 377 He\n2\nThe nuclear fusion process in a particular star is described by\n2 3 4\nH + H He + X\n1 1 2\nwhere X is a particle that has no mass defect.\nState the name of particle X. (i)\n..................................................................................................................................... [1]\n4\nHe is formed in this fusion reaction Show that the energy released when one nucleus of (ii)\n2\n10–12 × J. is 2.8\n[3]\n© UCLES 2023 9702/42/M/J/23\n21\n109 1028 × × The star in has a radius of 2.3 m and a luminosity of 1.4 W. (c) (b)\n4\nHe is radiated away from the star. All the energy released from the formation of\n2\n4\nHe. All the energy that is radiated from the star has been released in the formation of\n2\nDetermine:\n4\nHe produced per unit time by the fusion process the mass of (i)\n2\ns–1 [3] mass per unit time = ............................................... kg\nthe surface temperature of the star. (ii)\ntemperature = ...................................................... K [2]\n[Total: 11]\n[Turn over © UCLES 2023 9702/42/M/J/23\n22\nBLANK PAGE\n© UCLES 2023 9702/42/M/J/23" }, { "id": "9702-2023-mj-42-q10", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_42.pdf?download=true", "source_pages": [ 23, 24 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2023-mj-42-q10-p01.png", "9702-topic-24-medical-physics/assets/9702-2023-mj-42-q10-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-42-q10", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_42.pdf?download=true", "source_pages": [ 15 ], "marks": 9 }, "text_excerpt": "X-rays for use in medical diagnosis are produced in an X-ray tube. In the X-ray tube, charged 10 (a)\nparticles are accelerated towards a metal target by an applied potential difference (p.d.).\nState the name of the charged particles that are accelerated by the applied p.d. (i)\n..................................................................................................................................... [1]\nExplain how X-rays are produced at the metal target. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nCalculate the minimum wavelength of X-rays produced when the applied p.d. is 5.80 kV. (iii)\nwavelength = ..................................................... m [3]\n–1. X-rays pass through a medium that has an attenuation coefficient of 1.4 cm (b)\nCalculate the percentage of the X-ray energy that is by a 2.8 cm thickness of this absorbed\nmedium.\npercentage absorbed = ..................................................... % [3]\n[Total: 9]\n© UCLES 2023 9702/42/M/J/23\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge\nLocal Examinations Syndicate (UCLES), which is a department of the University of Cambridge.\n© UCLES 2023 9702/42/M/J/23" }, { "id": "9702-2023-mj-43-q01", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 1, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_43.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_43.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2023-mj-43-q01-p01.png", "9702-topic-18-electric-fields/assets/9702-2023-mj-43-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-43-q01", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_43.pdf?download=true", "source_pages": [ 6 ], "marks": 11 }, "text_excerpt": "Define gravitational field. 1 (a) (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nDefine electric field. (ii)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nState similarity and difference between the gravitational potential due to a point (iii) one one\nmass and the electric potential due to a point charge.\nsimilarity: ...........................................................................................................................\n...........................................................................................................................................\ndifference: ..........................................................................................................................\n...........................................................................................................................................\n[2]\nAn isolated uniform conducting sphere has mass M and charge Q. (b)\nThe gravitational field strength at the surface of the sphere is g.\nThe electric field strength at the surface of the sphere is E.\nShow that (i)\nM g\nα =\nQ E\nα is a constant. where\n[3]\n1020 kg2 C–2. α × is 1.35 Show that the numerical value of (ii)\n[1]\n© UCLES 2023 9702/43/M/J/23\n5\n1024 × Assume that the Earth is a uniform conducting sphere of mass 5.98 kg. (c)\n105 × C that is evenly distributed. The surface of the Earth carries a charge of – 4.80\nUse the information in to determine the electric field strength at the surface of the (i) (b)\nEarth. Give a unit with your answer.\nelectric field strength = .................................. unit ............... [2]\nState how the direction of the electric field at the surface of the Earth compares with the (ii)\ndirection of the gravitational field.\n..................................................................................................................................... [1]\n[Total: 11]\n[Turn over © UCLES 2023 9702/43/M/J/23" }, { "id": "9702-2023-mj-43-q02", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 2, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_43.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_43.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2023-mj-43-q02-p01.png", "9702-topic-17-oscillations/assets/9702-2023-mj-43-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-43-q02", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_43.pdf?download=true", "source_pages": [ 7, 8 ], "marks": 12 }, "text_excerpt": "A steel sphere of mass 0.29 kg is suspended in equilibrium from a vertical spring. The centre of 2\nthe sphere is 8.5 cm from the top of the spring, as shown in Fig. 2.1.\nspring\n8.5 cm\nsteel sphere,\nmass 0.29 kg\nFig. 2.1\nThe sphere is now set in motion so that it is moving in a horizontal circle at constant speed, as\nshown in Fig. 2.2.\n27°\n10.8 cm\npath of sphere\nr\nFig. 2.2\nThe distance from the centre of the sphere to the top of the spring is now 10.8 cm.\nExplain, with reference to the forces acting on the sphere, why the length of the spring in (a)\nFig. 2.2 is greater than in Fig. 2.1.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n© UCLES 2023 9702/43/M/J/23\n7\nThe angle between the linear axis of the spring and the vertical is 27°. (b)\nShow that the radius r of the circle is 4.9 cm. (i)\n[1]\nShow that the tension in the spring is 3.2 N. (ii)\n[2]\nThe spring obeys Hooke’s law. (iii)\n–1, of the spring. Calculate the spring constant, in N cm\ncm–1 [2] spring constant = ............................................. N\nUse the information in to determine the centripetal acceleration of the sphere. (c) (i) (b)\ns–2 [2] centripetal acceleration = ................................................ m\nCalculate the period of the circular motion of the sphere. (ii)\nperiod = ...................................................... s [2]\n[Total: 12]\n[Turn over © UCLES 2023 9702/43/M/J/23" }, { "id": "9702-2023-mj-43-q03", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 3, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_43.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_43.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2023-mj-43-q03-p01.png", "9702-topic-14-temperature/assets/9702-2023-mj-43-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-43-q03", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_43.pdf?download=true", "source_pages": [ 9 ], "marks": 11 }, "text_excerpt": "State the reason why two objects that are at the same temperature are described as being in 3 (a)\nthermal equilibrium.\n...................................................................................................................................................\n............................................................................................................................................. [1]\nFig. 3.1 shows the variations with temperature of the densities of mercury and of water (b)\nbetween 0 °C and 100 °C.\ndensity density\nmercury\nwater\n0 100 0 100\ntemperature temperature / °C / °C\nFig. 3.1\nTemperature may be measured using the variation with temperature of the density of a liquid.\nSuggest why, for measuring temperature over this temperature range:\nmercury is a suitable liquid (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nwater is not a suitable liquid. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nA beaker contains a liquid of mass 120 g. The liquid is supplied with thermal energy at a rate (c)\n–1 K–1. The of 810 W. The beaker has a mass of 42 g and a specific heat capacity of 0.84 J g\nbeaker and the liquid are in thermal equilibrium with each other at all times and are insulated\nfrom the surroundings.\nFig. 3.2 shows the variation with time t of the temperature of the liquid.\n© UCLES 2023 9702/43/M/J/23\n9\n100\ntemperature / °C\n75\n50\n25\n0\n60 0 10 20 30 40 50\nt / s\nFig. 3.2\nState the boiling temperature, in °C, of the liquid. (i)\ntemperature = .................................................... °C [1]\n–1 K–1, of the liquid. Determine the specific heat capacity, in J g (ii)\ng–1 K–1 [4] specific heat capacity = ........................................... J\nThe experiment in is repeated using water instead of the liquid in (c). The mass of liquid (d) (c)\nused, the power supplied, and the initial temperature are all unchanged.\nThe specific heat capacity of water is approximately twice that of the liquid in (c).\nThe boiling temperature of water is 100 °C.\nOn Fig. 3.2, sketch the variation with time t of the temperature of the water between t = 0 and\nt = 60 s. Numerical calculations are not required. [2]\n[Total: 11]\n[Turn over © UCLES 2023 9702/43/M/J/23" }, { "id": "9702-2023-mj-43-q04", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 4, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_43.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_43.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2023-mj-43-q04-p01.png", "9702-topic-16-thermodynamics/assets/9702-2023-mj-43-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-43-q04", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_43.pdf?download=true", "source_pages": [ 10 ], "marks": 12 }, "text_excerpt": "State of the basic assumptions of the kinetic theory of gases. 4 (a) two\n1 ................................................................................................................................................\n...................................................................................................................................................\n2 ................................................................................................................................................\n...................................................................................................................................................\n[2]\nAn ideal gas has amount of substance n. (b)\nThe gas is initially in state X, with pressure 2p and volume V.\nThe gas is cooled at constant volume to state Y, with pressure p.\nThe gas is then heated at constant pressure to state Z, with volume 2V.\nFinally, the gas returns at constant temperature to state X.\nDetermine an expression for the temperature T of the gas in state X, in terms of n, p (i)\nand V.\nIdentify any other symbols that you use.\n[2]\nOn Fig. 4.1, sketch the variation with volume of pressure for the gas as the gas undergoes (ii)\nthe three changes. The state X is labelled. Label states Y and Z.\n2p X\npressure\np\n0\n0 V 2V\nvolume\nFig. 4.1\n[3]\n© UCLES 2023 9702/43/M/J/23\n11\nDuring the change of state from Y to Z, the increase in internal energy of the gas is U. (iii)\nDuring the change of state from Z to X, the work done on the gas is W.\nComplete Table 4.1 to indicate, for each of the three changes of state, the increase in\ninternal energy of the gas, the thermal energy transferred to the gas and the work done\non the gas, in terms of p, V, U and W.\nTable 4.1\nincrease in internal thermal energy\nchange work done on gas\nenergy of gas transferred to gas\nX to Y\nY to Z +U\nZ to X +W\n[5]\n[Total: 12]\n[Turn over © UCLES 2023 9702/43/M/J/23" }, { "id": "9702-2023-mj-43-q05", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 5, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_43.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_43.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2023-mj-43-q05-p01.png", "9702-topic-21-alternating-currents/assets/9702-2023-mj-43-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-43-q05", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_43.pdf?download=true", "source_pages": [ 11 ], "marks": 9 }, "text_excerpt": "Part of an electric circuit is shown in Fig. 5.1. 5\nmissing component\nV V\nkΩ C 14 IN OUT\nFig. 5.1\nThe circuit is used to produce half-wave rectification of an alternating voltage of potential\n. difference (p.d.) V\nIN\nkΩ . The output p.d. across the 14 resistor is V\nOUT\nA component is missing from the circuit of Fig. 5.1. (a) (i)\nComplete the circuit diagram in Fig. 5.1 by adding the circuit symbol for the missing\ncomponent, correctly connected. [1]\nA capacitor C is shown in the circuit of Fig. 5.1. (ii)\nof including the capacitor in the circuit. State the effect on V\nOUT\n..................................................................................................................................... [1]\n. Fig. 5.2 shows the variation with time t of V (b)\nIN\n7.5\nV / V\nIN\n5.0\n2.5\n0\n0 0.02 0.04 0.06 0.08\nt / s\n–2.5\n–5.0\n–7.5\nFig. 5.2\n© UCLES 2023 9702/43/M/J/23\n13\nFig. 5.3 shows the variation with t of V .\nOUT\n7.5\nV / V\nOUT\n5.0\n2.5\n0 0.02 0.04 0.06 0.08\n/ s t\nFig. 5.3\n. Determine the frequency of V (i)\nIN\nfrequency = .................................................... Hz [1]\nτ Show that the time constant for the discharge of the capacitor through the resistor is (ii)\n0.038 s.\n[2]\nCalculate the capacitance of C. Give a unit with your answer. (iii)\ncapacitance = .................................. unit ............... [2]\nThe circuit of Fig. 5.1 is modified so that it produces full-wave rectification of an input voltage. (c)\nnow varies with time when V is as shown in Fig. 5.2. Suggest, with a reason, how V\nOUT IN\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 9]\n[Turn over © UCLES 2023 9702/43/M/J/23" }, { "id": "9702-2023-mj-43-q06", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_43.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2023-mj-43-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2023-mj-43-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-43-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_43.pdf?download=true", "source_pages": [ 12 ], "marks": 10 }, "text_excerpt": "State what is meant by a magnetic field. 6 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA long, straight wire P carries a current into the page, as shown in Fig. 6.1. (b)\nwire P\ncurrent into page\nFig. 6.1\nOn Fig. 6.1, draw four field lines to represent the magnetic field around wire P due to the\ncurrent in the wire. [3]\nA second long, straight wire Q, carrying a current of 5.0 A out of the page, is placed parallel to (c)\nwire P, as shown in Fig. 6.2.\nwire P wire Q\nA current current 5.0\nout of page into page\nFig. 6.2\nThe flux density of the magnetic field at wire Q due to the current in wire P is 2.6 mT.\nCalculate the magnetic force per unit length exerted on wire Q by wire P. (i)\n–1 [2] force per unit length = ............................................... N m\n© UCLES 2023 9702/43/M/J/23\n15\nState the direction of the force exerted on wire Q by wire P. (ii)\n..................................................................................................................................... [1]\nThe flux density of the magnetic field at wire P due to the current in wire Q is 1.5 mT. (iii)\nDetermine the magnitude of the current in wire P. Explain your reasoning.\ncurrent = ...................................................... A [2]\n[Total: 10]\n[Turn over © UCLES 2023 9702/43/M/J/23" }, { "id": "9702-2023-mj-43-q07", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 7, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_43.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_43.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2023-mj-43-q07-p01.png", "9702-topic-22-quantum-physics/assets/9702-2023-mj-43-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-43-q07", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_43.pdf?download=true", "source_pages": [ 13 ], "marks": 9 }, "text_excerpt": "State what is meant by the de Broglie wavelength. 7 (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nFig. 7.1 shows a glass tube in which electrons are accelerated through a high p.d. to form a (b)\nbeam that is incident on a thin graphite crystal.\nvacuum\ngraphite crystal\nfilament fluorescent\nanode cathode screen\nelectron beam\ncollimator\n– +\nglass tube\nhigh p.d.\n(not to scale)\n(not to scale) Fig. 7.1\nAfter passing through the graphite crystal, the electrons reach the fluorescent screen. The\nscreen glows where the electrons strike it.\nFig. 7.2 shows the fluorescent screen viewed end-on, from the right-hand side of Fig. 7.1.\nFig. 7.2\n© UCLES 2023 9702/43/M/J/23\n17\nState the name of the phenomenon demonstrated by the pattern shown in Fig. 7.2. (i)\n..................................................................................................................................... [1]\nExplain what can be concluded from the pattern in Fig. 7.2 about the nature of electrons. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nThe electrons in are now accelerated through a greater potential difference between the (c) (b)\ncathode and the anode.\nOn Fig. 7.3, sketch the pattern that is now seen on the fluorescent screen in Fig. 7.1. (i)\nFig. 7.3\n[2]\nExplain, with reference to de Broglie wavelength, the change in the pattern on the (ii)\nfluorescent screen.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n[Total: 9]\n[Turn over © UCLES 2023 9702/43/M/J/23" }, { "id": "9702-2023-mj-43-q08", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 8, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_43.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_43.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2023-mj-43-q08-p01.png", "9702-topic-24-medical-physics/assets/9702-2023-mj-43-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2023-mj-43-q08", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_43.pdf?download=true", "source_pages": [ 14 ], "marks": 8 }, "text_excerpt": "Table 8.1 shows some data relating to the properties of air, gel and body tissue. The data are 8 (a)\ngiven to three significant figures.\nTable 8.1\nspecific acoustic\nm–3 s–1 material density / kg speed of sound / m\nm–2 s–1 impedance / kg\nair 340 440\ngel 1200 1400\n106 × tissue 1090 1.68\n106 m–2 s–1. × Show that the specific acoustic impedance of gel is 1.68 kg (i)\n[1]\nComplete Table 8.1 by calculating the missing values to three significant figures. Use the (ii)\nspace below for any working that you need.\n[2]\nUse the information in to calculate the intensity reflection coefficient for: (b) (a)\nan air–tissue boundary (i)\nintensity reflection coefficient = ......................................................... [2]\na gel–tissue boundary. (ii)\nintensity reflection coefficient = ......................................................... [1]\n© UCLES 2023 9702/43/M/J/23\n19\nUse your answers in to explain why gel is applied to the skin during ultrasound scanning. (c) (b)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 8]\n[Turn over © UCLES 2023 9702/43/M/J/23" }, { "id": "9702-2023-mj-43-q09", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 9, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_43.pdf?download=true", "source_pages": [ 20 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_43.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2023-mj-43-q09-p01.png" ], "answer": { "status": "available", "id": "9702-2023-mj-43-q09", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_43.pdf?download=true", "source_pages": [ 15 ], "marks": 9 }, "text_excerpt": "β+ Carbon-11 is radioactive and decays by emission to form boron-11. Carbon-11 has a half-life of 9\n20 minutes. Boron-11 is stable.\nDefine half-life. (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nnuclei of carbon-11 and no other nuclei at time t = 0. A sample contains N (b)\n0\nOn Fig. 9.1, sketch the variation with t of the number of nuclei of in the sample. boron-11\n1.0 N\n0\nnumber of nuclei\n0.5 N\n0\n0\n0 20 40 60 80\n/ min t\nFig. 9.1\n[3]\nExplain, with reference to the random nature of radioactive decay, why the activity of the (c) (i)\ncarbon-11 sample in decreases with time. (b)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nState, with reasons, whether a radiation detector placed near to the sample of carbon-11 (ii)\nindicates a measured count rate from the sample that is less than, the same as or greater\nthan the activity of the sample.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n[Total: 9]\n© UCLES 2023 9702/43/M/J/23" }, { "id": "9702-2023-mj-43-q10", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_43.pdf?download=true", "source_pages": [ 21, 22, 23, 24 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_43.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-mj-43-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-mj-43-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-mj-43-q10-p03.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-mj-43-q10-p04.png" ], "answer": { "status": "available", "id": "9702-2023-mj-43-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_43.pdf?download=true", "source_pages": [ 16 ], "marks": 9 }, "text_excerpt": "State Hubble’s law. Identify any symbols that you use. 10 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n31 1024 × × W is a distance of 1.8 m from the Earth. A star of luminosity 3.8 10 (b)\nCalculate the radiant flux intensity at the Earth of the radiation emitted by the star.\nm–2 radiant flux intensity = .............................................. W [2]\nThe star in is in a distant galaxy. A spectral line in the light from this galaxy is known to (c) (b)\nhave a wavelength of 486 nm. This spectral line in the light from the galaxy observed on the\nEarth has a wavelength of 492 nm.\nExplain why the wavelength observed on the Earth is different from the wavelength that (i)\nthe galaxy is known to have emitted.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n. Determine a value for the Hubble constant H (ii)\n0\ns–1 H = ................................................... [3]\n0\n[Total: 9]\n© UCLES 2023 9702/43/M/J/23\n22\nBLANK PAGE\n© UCLES 2023 9702/43/M/J/23\n23\nBLANK PAGE\n© UCLES 2023 9702/43/M/J/23\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge\nLocal Examinations Syndicate (UCLES), which is a department of the University of Cambridge.\n© UCLES 2023 9702/43/M/J/23" }, { "id": "9702-2023-mj-51-q01", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "51", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_51.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-mj-51-q01-p01.png", "9702-practical-skills/assets/9702-2023-mj-51-q01-p02.png", "9702-practical-skills/assets/9702-2023-mj-51-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2023-mj-51-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_51.pdf?download=true", "source_pages": [ 6, 7, 8 ], "marks": 15 }, "text_excerpt": "A wooden cube of mass A is placed on an inclined plane. The cube is attached to a cylinder of 1\nmass B using string that passes over a pulley, as shown in Fig. 1.1.\npulley\nstring\ncube\ncylinder\nplane\nhorizontal\nsurface\nθ\n(not to scale) Fig. 1.1\nθ. Initially the cylinder is held at rest. The angle between the plane and the horizontal surface is\nThe cylinder is released. The time for the cylinder to fall a distance d is t.\nθ by the relationship It is suggested that t is related to\nsinθ 2d AH KA\n– = –\n2 (A + B) t (A + B)\nwhere H and K are constants.\nθ. Plan a laboratory experiment to test the relationship between t and\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for H and K.\nIn your plan you should include:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2023 9702/51/M/J/23\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................." }, { "id": "9702-2023-mj-51-q02", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "51", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_51.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-mj-51-q02-p01.png", "9702-practical-skills/assets/9702-2023-mj-51-q02-p02.png", "9702-practical-skills/assets/9702-2023-mj-51-q02-p03.png", "9702-practical-skills/assets/9702-2023-mj-51-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2023-mj-51-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_51.pdf?download=true", "source_pages": [ 9, 10, 11, 12 ], "marks": 15 }, "text_excerpt": "A student investigates the discharge of capacitors in the circuit shown in Fig. 2.1. 2\nC C\nP Q\nV\nR\nFig. 2.1\nand C . The capacitors have capacitances C\nP Q\nThe student closes the switch to charge the capacitors and then records the maximum reading V\n0\non the voltmeter.\nThe switch is opened and a stop‑watch is started. The capacitors discharge through the resistor\nand the reading on the voltmeter decreases. When the reading on the voltmeter is V the time t is\nrecorded. The discharge of the capacitors is repeated and the mean time T is calculated.\nand C . The experiment is repeated for different values of C\nP Q\nand C , the combined capacitance C is calculated. For each combination of C\nP Q\nIt is suggested that C and T are related by the equation\nV T   = – ln\nV CR\n0\nwhere R is the resistance of the resistor.\nA graph is plotted of T on the y‑axis against C on the x‑axis. (a)\nDetermine an expression for the gradient.\ngradient = ......................................................... [1]\n[Turn over © UCLES 2023 9702/51/M/J/23\n6\nValues of C , C and t are given in Table 2.1. (b)\nP Q\nTable 2.1\n10– 4 10– 4 10– 4 C / F C / F C / F t / s t / s T / s\nP Q\n2.2 1.5 12.9 14.5\n2.2 3.3 21.1 19.7\n2.2 5.6 23.7 24.9\n3.3 1.5 15.3 16.9\n5.6 1.5 19.0 17.6\n5.6 3.3 30.9 32.1\nand C is The relationship between C, C\nP Q\nC C\nP Q\n. C =\nC +C\nP Q\n10– 4 F and T / s in Table 2.1. Calculate and record values of C /\nInclude the absolute uncertainties in T. [2]\n10– 4 F. Plot a graph of T / s against C / (c) (i)\nInclude error bars for T. [2]\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2023 9702/51/M/J/23\n7\n34\n32\n/ s T\n30\n28\n26\n24\n22\n20\n18\n16\n14\n12\n0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2\n10– 4 C / F\n[Turn over © UCLES 2023 9702/51/M/J/23\n8\nThe values of V and V are: (d)\n0\n= (4.8 ± 0.1) V V\n0\nV = (2.4 ± 0.1) V.\nV V     . Include the absolute uncertainty in ln . Calculate ln\nV V\n0 0\nV   = ......................................................... [1] ln\nV\n0\nUsing your answers to (a), and (d), determine the value of R. Include an (e) (i) (c)(iii)\nappropriate unit.\nR = ......................................................... [2]\nDetermine the percentage uncertainty in R. (ii)\npercentage uncertainty in R = ......................................................% [1]\nThe experiment is repeated. Determine the value of C that gives a value of T of 60.0 s. Include (f)\nthe absolute uncertainty in your answer.\nC = ...................................................... F [2]\n[Total: 15]\nTo avoid the issue of disclosure of answer‑related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations " }, { "id": "9702-2023-mj-52-q01", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-mj-52-q01-p01.png", "9702-practical-skills/assets/9702-2023-mj-52-q01-p02.png", "9702-practical-skills/assets/9702-2023-mj-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2023-mj-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_52.pdf?download=true", "source_pages": [ 6, 7, 8 ], "marks": 15 }, "text_excerpt": "Two coils, P and Q, are placed close to each other, as shown in Fig. 1.1. 1\nR\ncoil P coil Q\nFig. 1.1\nA resistor of resistance R is connected in series with coil P.\nA changing magnetic flux of frequency f in coil P causes an electromotive force (e.m.f.) E to be\ninduced across the terminals of coil Q.\nIt is suggested that E is related to R by the relationship\nV ( )\n2πf E = M\nR + k\nwhere V is the potential difference across the resistor and coil P, and k and M are constants.\nPlan a laboratory experiment to test the relationship between E and R.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for k and M.\nIn your plan you should include:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2023 9702/52/M/J/23\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n.............................................................................................................................................." }, { "id": "9702-2023-mj-52-q02", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-mj-52-q02-p01.png", "9702-practical-skills/assets/9702-2023-mj-52-q02-p02.png", "9702-practical-skills/assets/9702-2023-mj-52-q02-p03.png", "9702-practical-skills/assets/9702-2023-mj-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2023-mj-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_52.pdf?download=true", "source_pages": [ 9, 10, 11, 12 ], "marks": 15 }, "text_excerpt": "A student investigates how the volume of a gas varies with its temperature. Air is trapped in a 2\ntransparent cylinder of diameter d with a movable piston as shown in Fig. 2.1.\nd\ncylinder\nmovable piston\ntrapped air\nh\nFig. 2.1\nThe distance between the base of the cylinder and the bottom of the piston is h.\nθ. The increase in The trapped air is heated by placing the cylinder in water of temperature\ntemperature of the trapped air causes the piston to move. When the piston stops moving, the\nvalue of h is measured.\nFor each value of h, the volume V of the trapped air is calculated.\nθ. The experiment is repeated for different values of\nθ are related by the equation It is suggested that V and\n(θ + Z ) pV = Yk\nwhere k is the Boltzmann constant, p is the atmospheric pressure, and Y and Z are constants.\nθ on the x-axis. A graph is plotted of V on the y-axis against (a)\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2023 9702/52/M/J/23\n6\nθ Values of and h are given in Table 2.1. (b)\nTable 2.1\n10–5 m3 θ / °C h / mm V /\n23 62.4 ± 0.1\n35 65.2 ± 0.1\n48 68.1 ± 0.1\n62 70.9 ± 0.1\n73 73.3 ± 0.1\n88 76.1 ± 0.1\nThe value of d is (27.9 ± 0.1) mm.\nThe volume V is calculated using the relationship\nπd2h\nV = .\n4\n10–5 m3 in Table 2.1. Calculate and record values of V /\nInclude the absolute uncertainties in V. [2]\n10–5 m3 θ against / °C. Include error bars for V. [2] Plot a graph of V / (c) (i)\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2023 9702/52/M/J/23\n7\n4.8\n4.7\n10–5 m3 / V\n4.6\n4.5\n4.4\n4.3\n4.2\n4.1\n4.0\n3.9\n3.8\n3.7\n20 30 40 50 60 70 80 90\nθ / °C\n[Turn over © UCLES 2023 9702/52/M/J/23\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of Y and Z. Include (d) (i) (c)(iii)\nappropriate units.\n5 × Pa Data: p = (1.01 ± 0.01) 10\n–23 K–1 × J k = 1.38 10\nY = ...............................................................\nZ = ...............................................................\n[2]\nDetermine the percentage uncertainty in Y. (ii)\npercentage uncertainty in Y = ..................................................... % [1]\nθ that gives a value of h of 60.0 mm. The experiment is repeated. Determine the temperature (e)\nθ = .................................................... °C [1]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment Internati" }, { "id": "9702-2023-mj-53-q01", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "53", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_53.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-mj-53-q01-p01.png", "9702-practical-skills/assets/9702-2023-mj-53-q01-p02.png", "9702-practical-skills/assets/9702-2023-mj-53-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2023-mj-53-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_53.pdf?download=true", "source_pages": [ 6, 7, 8 ], "marks": 15 }, "text_excerpt": "A wooden cube of mass A is placed on an inclined plane. The cube is attached to a cylinder of 1\nmass B using string that passes over a pulley, as shown in Fig. 1.1.\npulley\nstring\ncube\ncylinder\nplane\nhorizontal\nsurface\nθ\n(not to scale) Fig. 1.1\nθ. Initially the cylinder is held at rest. The angle between the plane and the horizontal surface is\nThe cylinder is released. The time for the cylinder to fall a distance d is t.\nθ by the relationship It is suggested that t is related to\nsinθ 2d AH KA\n– = –\n2 (A + B) t (A + B)\nwhere H and K are constants.\nθ. Plan a laboratory experiment to test the relationship between t and\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for H and K.\nIn your plan you should include:\n● the procedure to be followed\n● the measurements to be taken\n● the control of variables\n● the analysis of the data\n● any safety precautions to be taken.\n© UCLES 2023 9702/53/M/J/23\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................." }, { "id": "9702-2023-mj-53-q02", "subject": "9702", "year": 2023, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "53", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_qp_53.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2023-May-June/qp/9702_s23_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-mj-53-q02-p01.png", "9702-practical-skills/assets/9702-2023-mj-53-q02-p02.png", "9702-practical-skills/assets/9702-2023-mj-53-q02-p03.png", "9702-practical-skills/assets/9702-2023-mj-53-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2023-mj-53-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-May-June/ms/9702_s23_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-May-June/9702_s23_ms_53.pdf?download=true", "source_pages": [ 9, 10, 11, 12 ], "marks": 15 }, "text_excerpt": "A student investigates the discharge of capacitors in the circuit shown in Fig. 2.1. 2\nC C\nP Q\nV\nR\nFig. 2.1\nand C . The capacitors have capacitances C\nP Q\nThe student closes the switch to charge the capacitors and then records the maximum reading V\n0\non the voltmeter.\nThe switch is opened and a stop‑watch is started. The capacitors discharge through the resistor\nand the reading on the voltmeter decreases. When the reading on the voltmeter is V the time t is\nrecorded. The discharge of the capacitors is repeated and the mean time T is calculated.\nand C . The experiment is repeated for different values of C\nP Q\nand C , the combined capacitance C is calculated. For each combination of C\nP Q\nIt is suggested that C and T are related by the equation\nV T   = – ln\nV CR\n0\nwhere R is the resistance of the resistor.\nA graph is plotted of T on the y‑axis against C on the x‑axis. (a)\nDetermine an expression for the gradient.\ngradient = ......................................................... [1]\n[Turn over © UCLES 2023 9702/53/M/J/23\n6\nValues of C , C and t are given in Table 2.1. (b)\nP Q\nTable 2.1\n10– 4 10– 4 10– 4 C / F C / F C / F t / s t / s T / s\nP Q\n2.2 1.5 12.9 14.5\n2.2 3.3 21.1 19.7\n2.2 5.6 23.7 24.9\n3.3 1.5 15.3 16.9\n5.6 1.5 19.0 17.6\n5.6 3.3 30.9 32.1\nand C is The relationship between C, C\nP Q\nC C\nP Q\n. C =\nC +C\nP Q\n10– 4 F and T / s in Table 2.1. Calculate and record values of C /\nInclude the absolute uncertainties in T. [2]\n10– 4 F. Plot a graph of T / s against C / (c) (i)\nInclude error bars for T. [2]\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2023 9702/53/M/J/23\n7\n34\n32\n/ s T\n30\n28\n26\n24\n22\n20\n18\n16\n14\n12\n0.8 1.0 1.2 1.4 1.6 1.8 2.0 2.2\n10– 4 C / F\n[Turn over © UCLES 2023 9702/53/M/J/23\n8\nThe values of V and V are: (d)\n0\n= (4.8 ± 0.1) V V\n0\nV = (2.4 ± 0.1) V.\nV V     . Include the absolute uncertainty in ln . Calculate ln\nV V\n0 0\nV   = ......................................................... [1] ln\nV\n0\nUsing your answers to (a), and (d), determine the value of R. Include an (e) (i) (c)(iii)\nappropriate unit.\nR = ......................................................... [2]\nDetermine the percentage uncertainty in R. (ii)\npercentage uncertainty in R = ......................................................% [1]\nThe experiment is repeated. Determine the value of C that gives a value of T of 60.0 s. Include (f)\nthe absolute uncertainty in your answer.\nC = ...................................................... F [2]\n[Total: 15]\nTo avoid the issue of disclosure of answer‑related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations " }, { "id": "9702-2023-on-41-q01", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 1, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_41.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_41.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2023-on-41-q01-p01.png", "9702-topic-18-electric-fields/assets/9702-2023-on-41-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-41-q01", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_41.pdf?download=true", "source_pages": [ 7 ], "marks": 10 }, "text_excerpt": "State what is indicated by the direction of the gravitational field line at a point in a 1 (a) (i)\ngravitational field.\n...........................................................................................................................................\n..................................................................................................................................... [1]\nExplain, with reference to gravitational field lines, why the gravitational field near the (ii)\nsurface of the Earth is approximately constant for small changes in height.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nA large isolated uniform sphere has mass M and radius R. (b)\nPoint P lies on a straight line passing through the centre of the sphere, at a variable\ndisplacement x from the centre, as shown in Fig. 1.1.\nx\nP\nR\nuniform sphere,\nmass M\nFig. 1.1\n© UCLES 2023 9702/41/O/N/23\n5\nFig. 1.2 shows the variation with x of the gravitational field g at point P due to the sphere for\nthe values of x for which P is inside the sphere.\n1.0Y\ng\n0.5Y\n0\n– 3R – 2R – R 0 R 2R 3R\nx\n– 0.5Y\n– 1.0Y\nFig. 1.2\nThe magnitude of the gravitational field at the surface of the sphere is Y.\nDetermine an expression for Y in terms of M and R. Identify any other symbols that you (i)\nuse.\n[2]\nExplain why, at the surface of the sphere, g always has the opposite sign to x. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nComplete Fig. 1.2 to show the variation of g with x for values of x, up to ±3R, for which (iii)\npoint P is outside the sphere. [3]\n[Total: 10]\n[Turn over © UCLES 2023 9702/41/O/N/23" }, { "id": "9702-2023-on-41-q02", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 2, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_41.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_41.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2023-on-41-q02-p01.png", "9702-topic-16-thermodynamics/assets/9702-2023-on-41-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-41-q02", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_41.pdf?download=true", "source_pages": [ 8 ], "marks": 12 }, "text_excerpt": "Define specific heat capacity. 2 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n5 × Pa so that its An ideal gas of mass 0.35 kg is heated at a constant pressure of 2.0 10 (b)\ninternal energy increases by 7600 J. During this process, the volume of the gas increases\nm3 m3 to 0.063 and the temperature increases by 56 °C. from 0.038\nShow that the magnitude of the work done on the gas is 5000 J. (i)\n[1]\nExplain whether the work done on the gas is positive or negative. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nDetermine the magnitude of the thermal energy q transferred to the gas. (iii)\nq = ...................................................... J [2]\nCalculate the specific heat capacity of the gas for this process. Give a unit with your (iv)\nanswer.\nspecific heat capacity = ............................................ unit .............. [2]\n© UCLES 2023 9702/41/O/N/23\n7\nThe gas in is now heated at constant volume rather than at constant pressure. (c) (b)\nThe increase in internal energy of the gas is the same as in (b).\nUse the first law of thermodynamics to explain whether the specific heat capacity of the gas\nfor this process is less than, the same as, or greater than the answer in (b)(iv).\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 12]\n[Turn over © UCLES 2023 9702/41/O/N/23" }, { "id": "9702-2023-on-41-q03", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 3, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_41.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_41.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2023-on-41-q03-p01.png", "9702-topic-15-ideal-gases/assets/9702-2023-on-41-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-41-q03", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_41.pdf?download=true", "source_pages": [ 9 ], "marks": 13 }, "text_excerpt": "The product pV for an ideal gas is given by 3 (a)\n1\n2〉 Nm〈c pV =\n3\nwhere p is the pressure of the gas and V is the volume of the gas.\n2〉 〈c in this equation. State the meaning of the symbols N, m and (i)\nN: .......................................................................................................................................\nm: ......................................................................................................................................\n2〉: 〈c ....................................................................................................................................\n[3]\nUse the equation of state for an ideal gas to show that the average translational kinetic (ii)\nof a molecule of the gas at thermodynamic temperature T is given by energy E\nK\n3\n= E kT.\nK 2\n[2]\nThe surface of a star consists mainly of a gas that may be assumed to be ideal. The molecules (b)\n–1. of the gas have a root-mean-square (r.m.s.) speed of 9300 m s\n10–27 × kg. The mass of a molecule of the gas is 3.34\nDetermine, to three significant figures, the temperature of the surface of the star.\ntemperature = ...................................................... K [2]\n© UCLES 2023 9702/41/O/N/23\n9\n10–8 m–2 × The radiant flux intensity of the radiation from the star in is 2.52 W when (c) (b)\n1016 × m from the star. observed at a distance of 4.16\nCalculate the luminosity of the star. Give a unit with your answer. (i)\nluminosity = ............................................ unit .............. [2]\nDetermine the radius of the star. (ii)\nradius = ..................................................... m [2]\nThe gas at the surface of a star has a very high pressure. (d)\nUse the basic assumptions of the kinetic theory to suggest why, in practice, a gas at the\nsurface of a star is unlikely to behave as an ideal gas.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 13]\n[Turn over © UCLES 2023 9702/41/O/N/23" }, { "id": "9702-2023-on-41-q04", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_41.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_41.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2023-on-41-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2023-on-41-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-41-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_41.pdf?download=true", "source_pages": [ 10 ], "marks": 9 }, "text_excerpt": "A heavy metal sphere of mass 0.81 kg is suspended from a string. The sphere is undergoing small 4\noscillations from side to side, as shown in Fig. 4.1.\nstring\nheavy sphere,\nkg mass 0.81\noscillations\nFig. 4.1\nThe oscillations of the sphere may be considered to be simple harmonic with amplitude 0.036 m\nand period 3.0 s.\nState what is meant by simple harmonic motion. (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nCalculate: (b)\nthe angular frequency of the oscillations (i)\n–1 [2] angular frequency = .............................................. rad s\n© UCLES 2023 9702/41/O/N/23\n11\nthe total energy of the oscillations. (ii)\ntotal energy = ...................................................... J [2]\nThe suspended sphere is now lowered into water. The sphere is given a sideways (c)\ndisplacement of +0.036 m from its equilibrium position and is then released at time t = 0.\nThe water causes the motion of the sphere to be critically damped.\nOn Fig. 4.2, sketch the variation of the displacement x of the sphere from its equilibrium\nposition with t from t = 0 to t = 6.0 s.\n0.04\nx / m\n0.02\n0\n0 1 2 3 4 5 6\nt / s\n– 0.02\n– 0.04\nFig. 4.2\n[3]\n[Total: 9]\n[Turn over © UCLES 2023 9702/41/O/N/23" }, { "id": "9702-2023-on-41-q05", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 5, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_41.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_41.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2023-on-41-q05-p01.png", "9702-topic-18-electric-fields/assets/9702-2023-on-41-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-41-q05", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_41.pdf?download=true", "source_pages": [ 11 ], "marks": 8 }, "text_excerpt": "Define electric potential at a point. 5 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nTwo isolated charged metal spheres X and Y are situated near to each other in a vacuum with (b)\ntheir centres a distance of 24 m apart. Point P is at a variable distance x from the centre of\nsphere X on the line joining the centres of the spheres.\nFig. 5.1 shows the variation with x of the electric potential V due to the spheres at point P.\nV\n0\n0 4 8 12 16 20 24\nx / m\nFig. 5.1\nState conclusions that can be drawn about the spheres from Fig. 5.1. The conclusions three\nmay be qualitative or quantitative.\n1 ................................................................................................................................................\n...................................................................................................................................................\n2 ................................................................................................................................................\n...................................................................................................................................................\n3 ................................................................................................................................................\n...................................................................................................................................................\n[3]\n© UCLES 2023 9702/41/O/N/23\n13\nA positively charged particle is placed at point P in (b), such that x = 12 m. (c)\nThe particle is released.\nDescribe and explain the subsequent motion of the particle.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 8]\n[Turn over © UCLES 2023 9702/41/O/N/23" }, { "id": "9702-2023-on-41-q06", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_41.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2023-on-41-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2023-on-41-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-41-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_41.pdf?download=true", "source_pages": [ 12 ], "marks": 12 }, "text_excerpt": "Define magnetic flux density. 6 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n7 s–1. × m The electrons enter a uniform Electrons are moving in a vacuum with speed 1.7 10 (b)\nmagnetic field of flux density 4.8 mT. Fig. 6.1 shows the path of the electrons.\nmagnetic field,\nflux density 4.8 mT\nelectrons,\n107 s–1 × m speed 1.7\nX\nd\nFig. 6.1\nThe path of the electrons remains in the plane of the page.\nState the direction of the magnetic field. (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\n© UCLES 2023 9702/41/O/N/23\n15\nShow that the magnitude of the force exerted on each electron by the magnetic field is (ii)\n10–14 × N. 1.3\n[2]\nOn Fig. 6.1, draw an arrow to indicate the direction of the centripetal acceleration of the (iii)\nelectron where it enters the magnetic field at point X. [1]\nUse the information in to calculate the distance d between the path of the electrons (iv) (b)(ii)\nentering the magnetic field and the path of the electrons leaving it.\nd = ..................................................... m [3]\n7 s–1 × m The electrons in are replaced with positrons that are moving with speed 3.4 10 (c) (b)\nalong the same initial path as the electrons.\nThe positrons enter the magnetic field at point X on Fig. 6.1.\nOn Fig. 6.1, draw a line to show the path of the positrons through the magnetic field. [3]\n[Total: 12]\n[Turn over © UCLES 2023 9702/41/O/N/23" }, { "id": "9702-2023-on-41-q07", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 7, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_41.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_41.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2023-on-41-q07-p01.png", "9702-topic-15-ideal-gases/assets/9702-2023-on-41-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-41-q07", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_41.pdf?download=true", "source_pages": [ 13 ], "marks": 8 }, "text_excerpt": "I A varying current passes through a resistor of resistance R in the circuit shown in Fig. 7.1. 7\nI\nR\nFig. 7.1\nI. Fig. 7.2 shows the variation with time t of\n3I\n0\nI\n2I\n0\nI\n0\n0\n0.5 T 1.0 T 1.5 T 2.0 T 0\nt\n–I\n0\n–2I\n0\n–3I\n0\nFig. 7.2\nI 2I when it is in the positive direction and when it is in the negative The current has magnitude\n0 0\ndirection. The period of the variation of the current is T.\nI and R, for the power P dissipated in the resistor for the Determine expressions, in terms of (a)\n0\ntimes when:\nthe current is in the negative direction (i)\nP = ......................................................... [1]\nthe current is in the positive direction. (ii)\nP = ......................................................... [1]\n© UCLES 2023 9702/41/O/N/23\n17\nOn Fig. 7.3, sketch the variation of P with t between t = 0 and t = 2.0T. Label the power axis (b)\nwith an appropriate scale.\nP\n0\nT 1.0 T 1.5 T 2.0 T 0.5 0\nt\nFig. 7.3\n[3]\nI and R, for: Use your answer in to determine an expression, in terms of (c) (b)\n0\n〈P 〉 the mean power in the resistor (i)\n〈P 〉 = ......................................................... [1]\nI in the resistor. the root-mean-square (r.m.s.) current (ii)\nr.m.s.\nI = ......................................................... [2]\nr.m.s.\n[Total: 8]\n[Turn over © UCLES 2023 9702/41/O/N/23" }, { "id": "9702-2023-on-41-q08", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_41.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_41.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2023-on-41-q08-p01.png", "9702-topic-22-quantum-physics/assets/9702-2023-on-41-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-41-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_41.pdf?download=true", "source_pages": [ 14 ], "marks": 10 }, "text_excerpt": "λ Show that the momentum p of a photon of electromagnetic radiation with wavelength is 8 (a) (i)\ngiven by\nh\np =\nλ\nwhere h is the Planck constant.\n[2]\nUse the expression in to show that a photon in free space that has a momentum of (ii) (a)(i)\n10–28 × N s is a photon of red light. 9.5\n[1]\nm–2 is incident normally on a plane mirror, as shown in A beam of red light of intensity 160 W (b)\n10–28 × N s. Fig. 8.1. The momentum of each photon in the beam is 9.5\nplane mirror\nbeam of red light,\nm–2 intensity 160 W\nFig. 8.1\nAll of the light is reflected by the mirror in the opposite direction to its original path.\n10–6 m2. × The cross-sectional area of the beam is 2.5\n© UCLES 2023 9702/41/O/N/23\n19\n1015 s–1. × Show that the number of photons incident on the mirror per unit time is 1.4 (i)\n[2]\nUse the information in to determine the pressure exerted by the light beam on the (ii) (b)(i)\nmirror.\npressure = .................................................... Pa [3]\nThe beam of red light in is now replaced with a beam of blue light of the same intensity. (c) (b)\nSuggest and explain whether the pressure exerted on the mirror by the beam of blue light is\nless than, the same as, or greater than the pressure exerted by the beam of red light.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 10]\n[Turn over © UCLES 2023 9702/41/O/N/23" }, { "id": "9702-2023-on-41-q09", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 9, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_41.pdf?download=true", "source_pages": [ 20, 21, 22 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_41.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2023-on-41-q09-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2023-on-41-q09-p02.png", "9702-topic-23-nuclear-physics/assets/9702-2023-on-41-q09-p03.png" ], "answer": { "status": "available", "id": "9702-2023-on-41-q09", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_41.pdf?download=true", "source_pages": [ 15 ], "marks": 10 }, "text_excerpt": "State what is meant by nuclear fusion. 9 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nOn Fig. 9.1, sketch the variation of binding energy per nucleon with nucleon number A for (b)\nvalues of A between 1 and 250.\nbinding energy\nper nucleon\n0\n250 1\nA\nFig. 9.1\n[2]\nOn your line in Fig. 9.1, label: (c)\na point X that could represent a nucleus that undergoes alpha-decay [1] (i)\na point Y that could represent a nucleus that undergoes nuclear fusion. [1] (ii)\n© UCLES 2023 9702/41/O/N/23\n21\n93 (139Xe) A nucleus Z undergoes nuclear fission to form strontium-93 ( Sr) and xenon-139 (d)\n38 54\naccording to\n93 139 21 1 Sr + Xe + n . n + Z\n38 54 0 0\nTable 9.1 shows the binding energies of the strontium-93 and xenon-139 nuclei.\nTable 9.1\nnucleus binding energy / J\n93 10–10 × Sr 1.25\n38\n10–10 139 × Xe 1.81\n54\n1013 × The fission of 1.00 mol of Z releases 1.77 J of energy.\nDetermine the binding energy per nucleon, in MeV, of Z.\nbinding energy per nucleon = ................................................. MeV [4]\n[Total: 10]\n[Turn over © UCLES 2023 9702/41/O/N/23\n22\nBLANK PAGE\n© UCLES 2023 9702/41/O/N/23" }, { "id": "9702-2023-on-41-q10", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 10, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_41.pdf?download=true", "source_pages": [ 23, 24 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_41.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2023-on-41-q10-p01.png", "9702-topic-24-medical-physics/assets/9702-2023-on-41-q10-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-41-q10", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_41.pdf?download=true", "source_pages": [ 16 ], "marks": 8 }, "text_excerpt": "Ultrasound and X-rays are both types of wave that are used in medical diagnosis to form images 10\nof internal body structures.\nComplete Table 10.1 to state, for each type of wave: (a)\nthe method of production of the wave ●\nwhether the wave that is detected and used to form the image is the wave that has been ●\nabsorbed, reflected or transmitted by the internal body structure.\nTable 10.1\nultrasound X-rays\n............................................ ............................................ method of\nproduction\n............................................ ............................................\ndetected wave\n(absorbed, reflected ............................................ ............................................\nor transmitted)\n[4]\nFor one type of wave passing through tissue, the wave has 72% of its initial intensity (b) (i)\nafter it has passed through 6.2 cm of the tissue.\nμ of the tissue for this wave. Calculate the linear attenuation coefficient\ncm–1 μ = ................................................ [2]\nAnother wave of the same type as in passes through 9.3 cm of the same tissue. (ii) (b)(i)\nCalculate the percentage of the initial intensity of the wave that is attenuated by the\ntissue.\npercentage attenuated = ..................................................... % [2]\n[Total: 8]\n© UCLES 2023 9702/41/O/N/23\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge\nLocal Examinations Syndicate (UCLES), which is a department of the University of Cambridge.\n© UCLES 2023 9702/41/O/N/23" }, { "id": "9702-2023-on-42-q01", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 12, "topic": "Motion in a circle", "topic_slug": "9702-topic-12-motion-in-a-circle", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_42.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_42.pdf", "image_paths": [ "9702-topic-12-motion-in-a-circle/assets/9702-2023-on-42-q01-p01.png", "9702-topic-12-motion-in-a-circle/assets/9702-2023-on-42-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-42-q01", "html": "9702-topic-12-motion-in-a-circle/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_42.pdf?download=true", "source_pages": [ 6 ], "marks": 10 }, "text_excerpt": "Define the radian. 1 (a)\n...................................................................................................................................................\n............................................................................................................................................. [1]\nThe minute hand of a clock revolves at constant angular speed around the face of the clock, (b)\ncompleting one revolution every hour. A small piece of modelling clay is attached to the hand\nwith its centre of gravity at a distance L from the fixed end of the hand, as shown in Fig. 1.1.\ndirection of revolution of minute hand\nmodelling clay\nfree end\nL minute hand\nfixed end\nface of clock\nFig. 1.1\nω of the minute hand. Calculate the angular speed\ns–1 ω = .............................................. rad [2]\nDuring a time interval of 1400 s, the centre of gravity of the piece of modelling clay in Fig. 1.1 (c)\nmoves through a total distance of 0.44 m.\nCalculate the angle through which the minute hand moves in this time interval. (i)\nangle = ................................................... rad [1]\n© UCLES 2023 9702/42/O/N/23\n5\nDetermine distance L. (ii)\nL = ...................................................... m [2]\nCalculate the magnitude of the centripetal acceleration of the piece of modelling clay. (iii)\ns–2 centripetal acceleration = ................................................ m [2]\nUse your answer in to explain why the variation with time of the magnitude of the force (d) (c)(iii)\nexerted by the minute hand on the piece of modelling clay is negligible as the minute hand\nundergoes one full revolution.\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 10]\n[Turn over © UCLES 2023 9702/42/O/N/23" }, { "id": "9702-2023-on-42-q02", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_42.pdf?download=true", "source_pages": [ 6, 7, 8 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_42.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2023-on-42-q02-p01.png", "9702-topic-15-ideal-gases/assets/9702-2023-on-42-q02-p02.png", "9702-topic-15-ideal-gases/assets/9702-2023-on-42-q02-p03.png" ], "answer": { "status": "available", "id": "9702-2023-on-42-q02", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_42.pdf?download=true", "source_pages": [ 7 ], "marks": 12 }, "text_excerpt": "Define gravitational potential at a point. 2 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n22 × kg The Moon may be considered to be an isolated uniform sphere of mass 7.3 10 (ii)\n106 × m. and radius 1.7\nCalculate the gravitational potential at the surface of the Moon. Give a unit with your\nanswer.\ngravitational potential = ................................. unit ................ [2]\nφ at its surface. An isolated uniform spherical planet has gravitational potential (b)\nA particle of mass m is projected vertically upwards from the surface. The particle is given just\nenough kinetic energy to travel to an infinite distance away from the planet, escaping from the\ngravitational pull of the planet, without any additional work being done on it.\nφ, for the gravitational potential energy E of Determine an expression, in terms of m and (i)\nP\nthe particle at the surface of the planet.\nE = ......................................................... [1]\nP\nShow that the speed v at which the particle is projected upwards from the surface of the (ii)\nplanet is given by\n–2φ. v =\n[2]\n© UCLES 2023 9702/42/O/N/23\n7\nA particle is moving upwards at the surface of the Moon. (c)\nUse your answer in and the expression in to determine the minimum speed of (a)(ii) (b)(ii)\nthis particle that will result in it escaping from the gravitational pull of the Moon.\n–1 [1] speed = ................................................ m s\nHydrogen may be assumed to be an ideal gas. (d)\n10–27 × kg. The mass of a hydrogen molecule is 3.34\nCalculate the root-mean-square (r.m.s.) speed of a hydrogen molecule in hydrogen gas that\nis at a temperature of 400 K.\n–1 [3] r.m.s. speed = ................................................ m s\nThe surface of the Moon reaches temperatures of approximately 400 K when in direct sunlight. (e)\nUse your answers in and to suggest a reason why the Moon does not have an (c) (d)\natmosphere consisting of hydrogen.\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 12]\n[Turn over © UCLES 2023 9702/42/O/N/23\n8\nBLANK PAGE\n© UCLES 2023 9702/42/O/N/23" }, { "id": "9702-2023-on-42-q03", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_42.pdf?download=true", "source_pages": [ 9 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2023-on-42-q03-p01.png" ], "answer": { "status": "available", "id": "9702-2023-on-42-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 8 }, "text_excerpt": "State what is meant by the internal energy of a system. 3 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nUse the first law of thermodynamics to explain what happens to the internal energy: (b)\nof a spring when it is stretched at constant temperature within its elastic limit (i)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nof a sample of water when it evaporates from a rain puddle on a hot day. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n[Total: 8]\n[Turn over © UCLES 2023 9702/42/O/N/23" }, { "id": "9702-2023-on-42-q04", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2023-on-42-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2023-on-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-42-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 11 }, "text_excerpt": "An electron in a metal rod moves randomly about a mean position. When an alternating 4\nvoltage is applied to the ends of the rod, the mean position can be considered to oscillate with\nsimple harmonic motion along the axis of the rod. Fig. 4.1 shows the variation with time t of the\ndisplacement x of the mean position from a fixed point on the axis of the rod.\n8\n10–15 / m x\n4\n0\n0 0.1 0.2 0.3 0.4\nμs / t\nFig. 4.1\nDetermine the amplitude of the oscillations. (a) (i)\namplitude = ...................................................... m [1]\nDetermine the angular frequency of the oscillations. (ii)\n–1 [1] angular frequency = .............................................. rad s\nof the Use your answers in and to show that the maximum drift speed v (iii) (a)(i) (a)(ii)\n0\n10–7 s–1. × m electron is 1.1\n[2]\n© UCLES 2023 9702/42/O/N/23\n11\ncm2 The rod has a cross-sectional area of 4.3 and contains a number density of conduction (b)\n1028 m–3. × electrons (charge carriers) of 8.5\nAll of the conduction electrons in the rod may be assumed to be oscillating in phase with, and\nwith the same amplitude as, the oscillation shown in Fig. 4.1.\nI of the maximum current in the Use the information in to calculate the magnitude (i) (a)(iii)\n0\nrod.\nI = ....................................................... A [2]\n0\nI On Fig. 4.2, sketch the variation of the current in the rod with time t between t = 0 and (ii)\nμs. t = 0.40\nI\n0\nI\n0\n0.1 0.2 0.3 0.4 0\nμs t /\n–I\n0\nFig. 4.2\n[2]\nI Use your answers in and to determine an expression for in terms of t, (iii) (a)(ii) (b)(i)\nI where is in A and t is in s.\nI = ......................................................... [2]\nDetermine the root-mean-square (r.m.s.) current in the rod. (iv)\nr.m.s. current = ....................................................... A [1]\n[Total: 11]\n[Turn over © UCLES 2023 9702/42/O/N/23" }, { "id": "9702-2023-on-42-q05", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_42.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2023-on-42-q05-p01.png", "9702-topic-18-electric-fields/assets/9702-2023-on-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-42-q05", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_42.pdf?download=true", "source_pages": [ 10 ], "marks": 11 }, "text_excerpt": "State Coulomb’s law. 5 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nTwo identical oil droplets are in a vacuum. The centres of the droplets are a distance of (b)\n–6 × m apart. The droplets have equal charge and exert an electric force on each other 3.8 10\n10–17 × N. of magnitude 6.3\nDetermine the magnitude of the charge on each droplet.\ncharge = ...................................................... C [2]\nOne of the oil droplets in is now placed between two horizontal metal plates, as shown in (c) (b)\nFig. 5.1.\n+ 1200 V\noil droplet\nmetal plates\n5.2 cm\n0 V\n(not to scale) Fig. 5.1\nA potential difference (p.d.) of 1200 V is applied between the plates, with the top plate at the\nhigher potential. The oil droplet is stationary and in equilibrium.\n© UCLES 2023 9702/42/O/N/23\n13\nState the sign of the charge on the oil droplet. (i)\n..................................................................................................................................... [1]\nOn Fig. 5.1, draw four lines to represent the electric field between the plates. [3] (ii)\nThe distance between the plates is 5.2 cm. (iii)\nDetermine the mass of the oil droplet.\nmass = ..................................................... kg [3]\n[Total: 11]\n[Turn over © UCLES 2023 9702/42/O/N/23" }, { "id": "9702-2023-on-42-q06", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2023-on-42-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2023-on-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-42-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_42.pdf?download=true", "source_pages": [ 11 ], "marks": 9 }, "text_excerpt": "A capacitor C is charged so that the potential difference (p.d.) V across its terminals is 8.0 V. 6\nThe capacitor is connected into the circuit of Fig. 6.1.\nC\n8.0 V\nR\nFig. 6.1\nThe switch is initially open. The switch is closed at time t = 0.\nFig. 6.2 shows the variation of V with the charge Q on the plates of capacitor C as the (a)\ncapacitor discharges.\n8\n/ V V\n4\n0\n0 200 400 600\nμC / Q\nFig. 6.2\nShow that the energy stored in capacitor C at time t = 0 is 1.8 mJ. (i)\n[2]\nDetermine the capacitance of capacitor C. Give a unit with your answer. (ii)\ncapacitance = ................................. unit ................ [2]\n© UCLES 2023 9702/42/O/N/23\n15\nV  \nFig. 6.3 shows the variation with t of –ln . (b)\n8.0 V\n2.0\nV\n1 2\n–ln\n8.0 V\n1.0\n0\n0 2 4 6 8\n/ s t\nFig. 6.3\nV  \nis equal to 1.0. Show that, when t is equal to one time constant, the value of –ln (i)\n8.0 V\n[2]\nτ of the circuit in Fig. 6.1. Determine the time constant (ii)\nτ = ....................................................... s [1]\nCalculate the resistance of resistor R. (iii)\nΩ resistance = ...................................................... [2]\n[Total: 9]\n[Turn over © UCLES 2023 9702/42/O/N/23" }, { "id": "9702-2023-on-42-q07", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_42.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2023-on-42-q07-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2023-on-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-42-q07", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_42.pdf?download=true", "source_pages": [ 12 ], "marks": 11 }, "text_excerpt": "A Hall probe containing a thin slice of semiconducting material is placed in a uniform magnetic 7 (a)\nfield of flux density B. The largest faces of the slice are perpendicular to the magnetic field, as\nshown in Fig. 7.1.\n5.4 A\nsemiconducting slice\nx\nmagnetic field,\nflux density B\nQ\nA 5.4\nP\nFig. 7.1\nThe thickness x of the slice is 1.8 mm. The number density of charge carriers in the\n1016 m–3. × semiconducting material is 1.5\nA constant current of 5.4 A is passed through the slice between the shaded faces.\nthat is developed between the terminals PQ is recorded. The Hall voltage V\nH\nFig. 7.2 shows the variation with time t of B.\n4\n10–6 B / T\n2\n0\n0 0.02 0.04 0.06 0.08\n/ s t\nFig. 7.2\n10–6 × T, the magnitude of V is 5.0 V. Show that, when B is equal to 4.0 (i)\nH\n[1]\n© UCLES 2023 9702/42/O/N/23\n17\nOn Fig. 7.3, sketch the variation of V with t between t = 0 and t = 0.080 s. (ii)\nH\n6\n/ V V\nH\n4\n2\n0\n0.02 0.04 0.06 0.08 0\nt / s\n–2\n4 –\n–6\nFig. 7.3\n[3]\nThe Hall probe in is replaced with a small flat coil that has 3000 turns. The cross-sectional (b) (a)\n–4 m2. × area of the coil is 3.4 10\nThe plane of the coil is perpendicular to the magnetic field. The electromotive force (e.m.f.) E\ninduced between the terminals of the coil is recorded as B varies as shown in Fig. 7.2.\n–4 × V. Show that the magnitude of E at time t = 0.010 s is 2.0 10 (i)\n[3]\nOn Fig. 7.4, sketch the variation of E with t between t = 0 and t = 0.080 s. (ii)\n4\n10–4 E / V\n2\n0\n0.02 0.04 0.06 0.08 0\nt / s\n–2\n4 –\nFig. 7.4\n[4]\n[Total: 11]\n[Turn over © UCLES 2023 9702/42/O/N/23" }, { "id": "9702-2023-on-42-q08", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_42.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2023-on-42-q08-p01.png", "9702-topic-22-quantum-physics/assets/9702-2023-on-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-42-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_42.pdf?download=true", "source_pages": [ 13 ], "marks": 8 }, "text_excerpt": "State what is meant by a photon. 8 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nWhen the surface of a metal plate is illuminated with electromagnetic radiation, electrons are (b)\nsometimes emitted from the metal.\nState the name of this phenomenon. (i)\n..................................................................................................................................... [1]\nIt is observed that this phenomenon occurs only when the frequency of the (ii)\nelectromagnetic radiation is greater than a certain minimum value, regardless of the\nintensity of the radiation.\nExplain how this observation provides evidence for the existence of photons.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\nFig. 8.1 shows the variation of the maximum kinetic energy of the emitted electrons in with (c) (b)\nthe frequency of the incident radiation.\nmaximum\nkinetic energy\n0\n0 frequency\nFig. 8.1\n© UCLES 2023 9702/42/O/N/23\n19\nState the name of the quantity represented by:\nthe gradient of the line in Fig. 8.1 (i)\n..................................................................................................................................... [1]\nthe y-intercept of the extrapolated line in Fig. 8.1. (ii)\n..................................................................................................................................... [1]\n[Total: 8]\n[Turn over © UCLES 2023 9702/42/O/N/23" }, { "id": "9702-2023-on-42-q09", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_42.pdf?download=true", "source_pages": [ 20, 21, 22 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2023-on-42-q09-p01.png", "9702-topic-24-medical-physics/assets/9702-2023-on-42-q09-p02.png", "9702-topic-24-medical-physics/assets/9702-2023-on-42-q09-p03.png" ], "answer": { "status": "available", "id": "9702-2023-on-42-q09", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_42.pdf?download=true", "source_pages": [ 14 ], "marks": 12 }, "text_excerpt": "18 Fluorine-18 ( F) is a radioactive nuclide that is used as a tracer in positron emission tomography 9\n9\n(PET scanning). Fluorine-18 decays to a nuclide of oxygen (O) according to\n18 Q R F X + O.\n9 P 8\nState what is meant by a tracer. (a) (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\nState the symbol of the particle that is represented by X and the values of P, Q and R. (ii)\nX: ....................................................... P: .......................................................\nQ: ....................................................... R: .......................................................\n[2]\nExplain how the radioactive decay of fluorine-18 results in the emission from the body of (b) (i)\nthe gamma-ray photons that are detected during a PET scan.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nExplain how the detection of the gamma-ray photons is used to produce an image of the (ii)\ntissue being examined.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nThe half-life of fluorine-18 is T. (c)\nA patient is injected with amount of substance n of fluorine-18.\nof the rate R of production of gamma-ray Determine an expression for the initial value R (i)\n0\n. photons by the tracer, in terms of n, T and the Avogadro constant N\nA\nR = ......................................................... [3]\n0\n© UCLES 2023 9702/42/O/N/23\n21\nOn Fig. 9.1, sketch the variation with time t of R. (ii)\nR\n0\nR\n0\n0 T\nt\nFig. 9.1\n[2]\n[Total: 12]\n[Turn over © UCLES 2023 9702/42/O/N/23\n22\nBLANK PAGE\n© UCLES 2023 9702/42/O/N/23" }, { "id": "9702-2023-on-42-q10", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_42.pdf?download=true", "source_pages": [ 23, 24 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_42.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-on-42-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2023-on-42-q10-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-42-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_42.pdf?download=true", "source_pages": [ 15 ], "marks": 8 }, "text_excerpt": "State Wien’s displacement law. Identify any symbols that you use. 10 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA cosmology student observes the electromagnetic radiation received from a star in a galaxy. (b)\nThe student uses Wien’s law to estimate the surface temperature of the star, a standard\ncandle to estimate the distance to the galaxy, and the Stefan–Boltzmann law to estimate the\nradius of the star.\nThe student observes that the radiation from the star is redshifted.\nState what is meant by a standard candle. (i)\n..................................................................................................................................... [1]\nState the reason why the radiation from the star is redshifted. (ii)\n..................................................................................................................................... [1]\nThe true values of the quantities observed or estimated are those that are corrected to (iii)\nallow for redshift. However, the student does not correct for redshift.\n3 By placing one tick ( ) in each row, complete Table 10.1 to indicate how the observations\nand estimates made by the student compare with the true values.\nTable 10.1\nstudent’s uncorrected value\ntoo low the same too high\nwavelength of\nradiation\nsurface\ntemperature of star\ndistance to star\nradius of star\n[4]\n[Total: 8]\n© UCLES 2023 9702/42/O/N/23\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge\nLocal Examinations Syndicate (UCLES), which is a department of the University of Cambridge.\n© UCLES 2023 9702/42/O/N/23" }, { "id": "9702-2023-on-43-q01", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 1, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_43.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_43.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2023-on-43-q01-p01.png", "9702-topic-18-electric-fields/assets/9702-2023-on-43-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-43-q01", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_43.pdf?download=true", "source_pages": [ 7 ], "marks": 10 }, "text_excerpt": "State what is indicated by the direction of the gravitational field line at a point in a 1 (a) (i)\ngravitational field.\n...........................................................................................................................................\n..................................................................................................................................... [1]\nExplain, with reference to gravitational field lines, why the gravitational field near the (ii)\nsurface of the Earth is approximately constant for small changes in height.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nA large isolated uniform sphere has mass M and radius R. (b)\nPoint P lies on a straight line passing through the centre of the sphere, at a variable\ndisplacement x from the centre, as shown in Fig. 1.1.\nx\nP\nR\nuniform sphere,\nmass M\nFig. 1.1\n© UCLES 2023 9702/43/O/N/23\n5\nFig. 1.2 shows the variation with x of the gravitational field g at point P due to the sphere for\nthe values of x for which P is inside the sphere.\n1.0Y\ng\n0.5Y\n0\n– 3R – 2R – R 0 R 2R 3R\nx\n– 0.5Y\n– 1.0Y\nFig. 1.2\nThe magnitude of the gravitational field at the surface of the sphere is Y.\nDetermine an expression for Y in terms of M and R. Identify any other symbols that you (i)\nuse.\n[2]\nExplain why, at the surface of the sphere, g always has the opposite sign to x. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nComplete Fig. 1.2 to show the variation of g with x for values of x, up to ±3R, for which (iii)\npoint P is outside the sphere. [3]\n[Total: 10]\n[Turn over © UCLES 2023 9702/43/O/N/23" }, { "id": "9702-2023-on-43-q02", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 2, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_43.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_43.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2023-on-43-q02-p01.png", "9702-topic-16-thermodynamics/assets/9702-2023-on-43-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-43-q02", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_43.pdf?download=true", "source_pages": [ 8 ], "marks": 12 }, "text_excerpt": "Define specific heat capacity. 2 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n5 × Pa so that its An ideal gas of mass 0.35 kg is heated at a constant pressure of 2.0 10 (b)\ninternal energy increases by 7600 J. During this process, the volume of the gas increases\nm3 m3 to 0.063 and the temperature increases by 56 °C. from 0.038\nShow that the magnitude of the work done on the gas is 5000 J. (i)\n[1]\nExplain whether the work done on the gas is positive or negative. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nDetermine the magnitude of the thermal energy q transferred to the gas. (iii)\nq = ...................................................... J [2]\nCalculate the specific heat capacity of the gas for this process. Give a unit with your (iv)\nanswer.\nspecific heat capacity = ............................................ unit .............. [2]\n© UCLES 2023 9702/43/O/N/23\n7\nThe gas in is now heated at constant volume rather than at constant pressure. (c) (b)\nThe increase in internal energy of the gas is the same as in (b).\nUse the first law of thermodynamics to explain whether the specific heat capacity of the gas\nfor this process is less than, the same as, or greater than the answer in (b)(iv).\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 12]\n[Turn over © UCLES 2023 9702/43/O/N/23" }, { "id": "9702-2023-on-43-q03", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 3, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_43.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_43.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2023-on-43-q03-p01.png", "9702-topic-15-ideal-gases/assets/9702-2023-on-43-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-43-q03", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_43.pdf?download=true", "source_pages": [ 9 ], "marks": 13 }, "text_excerpt": "The product pV for an ideal gas is given by 3 (a)\n1\n2〉 Nm〈c pV =\n3\nwhere p is the pressure of the gas and V is the volume of the gas.\n2〉 〈c in this equation. State the meaning of the symbols N, m and (i)\nN: .......................................................................................................................................\nm: ......................................................................................................................................\n2〉: 〈c ....................................................................................................................................\n[3]\nUse the equation of state for an ideal gas to show that the average translational kinetic (ii)\nof a molecule of the gas at thermodynamic temperature T is given by energy E\nK\n3\n= E kT.\nK 2\n[2]\nThe surface of a star consists mainly of a gas that may be assumed to be ideal. The molecules (b)\n–1. of the gas have a root-mean-square (r.m.s.) speed of 9300 m s\n10–27 × kg. The mass of a molecule of the gas is 3.34\nDetermine, to three significant figures, the temperature of the surface of the star.\ntemperature = ...................................................... K [2]\n© UCLES 2023 9702/43/O/N/23\n9\n10–8 m–2 × The radiant flux intensity of the radiation from the star in is 2.52 W when (c) (b)\n1016 × m from the star. observed at a distance of 4.16\nCalculate the luminosity of the star. Give a unit with your answer. (i)\nluminosity = ............................................ unit .............. [2]\nDetermine the radius of the star. (ii)\nradius = ..................................................... m [2]\nThe gas at the surface of a star has a very high pressure. (d)\nUse the basic assumptions of the kinetic theory to suggest why, in practice, a gas at the\nsurface of a star is unlikely to behave as an ideal gas.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 13]\n[Turn over © UCLES 2023 9702/43/O/N/23" }, { "id": "9702-2023-on-43-q04", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_43.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_43.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2023-on-43-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2023-on-43-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-43-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_43.pdf?download=true", "source_pages": [ 10 ], "marks": 9 }, "text_excerpt": "A heavy metal sphere of mass 0.81 kg is suspended from a string. The sphere is undergoing small 4\noscillations from side to side, as shown in Fig. 4.1.\nstring\nheavy sphere,\nkg mass 0.81\noscillations\nFig. 4.1\nThe oscillations of the sphere may be considered to be simple harmonic with amplitude 0.036 m\nand period 3.0 s.\nState what is meant by simple harmonic motion. (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nCalculate: (b)\nthe angular frequency of the oscillations (i)\n–1 [2] angular frequency = .............................................. rad s\n© UCLES 2023 9702/43/O/N/23\n11\nthe total energy of the oscillations. (ii)\ntotal energy = ...................................................... J [2]\nThe suspended sphere is now lowered into water. The sphere is given a sideways (c)\ndisplacement of +0.036 m from its equilibrium position and is then released at time t = 0.\nThe water causes the motion of the sphere to be critically damped.\nOn Fig. 4.2, sketch the variation of the displacement x of the sphere from its equilibrium\nposition with t from t = 0 to t = 6.0 s.\n0.04\nx / m\n0.02\n0\n0 1 2 3 4 5 6\nt / s\n– 0.02\n– 0.04\nFig. 4.2\n[3]\n[Total: 9]\n[Turn over © UCLES 2023 9702/43/O/N/23" }, { "id": "9702-2023-on-43-q05", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 5, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_43.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_43.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2023-on-43-q05-p01.png", "9702-topic-18-electric-fields/assets/9702-2023-on-43-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-43-q05", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_43.pdf?download=true", "source_pages": [ 11 ], "marks": 8 }, "text_excerpt": "Define electric potential at a point. 5 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nTwo isolated charged metal spheres X and Y are situated near to each other in a vacuum with (b)\ntheir centres a distance of 24 m apart. Point P is at a variable distance x from the centre of\nsphere X on the line joining the centres of the spheres.\nFig. 5.1 shows the variation with x of the electric potential V due to the spheres at point P.\nV\n0\n0 4 8 12 16 20 24\nx / m\nFig. 5.1\nState conclusions that can be drawn about the spheres from Fig. 5.1. The conclusions three\nmay be qualitative or quantitative.\n1 ................................................................................................................................................\n...................................................................................................................................................\n2 ................................................................................................................................................\n...................................................................................................................................................\n3 ................................................................................................................................................\n...................................................................................................................................................\n[3]\n© UCLES 2023 9702/43/O/N/23\n13\nA positively charged particle is placed at point P in (b), such that x = 12 m. (c)\nThe particle is released.\nDescribe and explain the subsequent motion of the particle.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 8]\n[Turn over © UCLES 2023 9702/43/O/N/23" }, { "id": "9702-2023-on-43-q06", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_43.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2023-on-43-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2023-on-43-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-43-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_43.pdf?download=true", "source_pages": [ 12 ], "marks": 12 }, "text_excerpt": "Define magnetic flux density. 6 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n7 s–1. × m The electrons enter a uniform Electrons are moving in a vacuum with speed 1.7 10 (b)\nmagnetic field of flux density 4.8 mT. Fig. 6.1 shows the path of the electrons.\nmagnetic field,\nflux density 4.8 mT\nelectrons,\n107 s–1 × m speed 1.7\nX\nd\nFig. 6.1\nThe path of the electrons remains in the plane of the page.\nState the direction of the magnetic field. (i)\n...........................................................................................................................................\n..................................................................................................................................... [1]\n© UCLES 2023 9702/43/O/N/23\n15\nShow that the magnitude of the force exerted on each electron by the magnetic field is (ii)\n10–14 × N. 1.3\n[2]\nOn Fig. 6.1, draw an arrow to indicate the direction of the centripetal acceleration of the (iii)\nelectron where it enters the magnetic field at point X. [1]\nUse the information in to calculate the distance d between the path of the electrons (iv) (b)(ii)\nentering the magnetic field and the path of the electrons leaving it.\nd = ..................................................... m [3]\n7 s–1 × m The electrons in are replaced with positrons that are moving with speed 3.4 10 (c) (b)\nalong the same initial path as the electrons.\nThe positrons enter the magnetic field at point X on Fig. 6.1.\nOn Fig. 6.1, draw a line to show the path of the positrons through the magnetic field. [3]\n[Total: 12]\n[Turn over © UCLES 2023 9702/43/O/N/23" }, { "id": "9702-2023-on-43-q07", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 7, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_43.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_43.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2023-on-43-q07-p01.png", "9702-topic-15-ideal-gases/assets/9702-2023-on-43-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-43-q07", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_43.pdf?download=true", "source_pages": [ 13 ], "marks": 8 }, "text_excerpt": "I A varying current passes through a resistor of resistance R in the circuit shown in Fig. 7.1. 7\nI\nR\nFig. 7.1\nI. Fig. 7.2 shows the variation with time t of\n3I\n0\nI\n2I\n0\nI\n0\n0\n0.5 T 1.0 T 1.5 T 2.0 T 0\nt\n–I\n0\n–2I\n0\n–3I\n0\nFig. 7.2\nI 2I when it is in the positive direction and when it is in the negative The current has magnitude\n0 0\ndirection. The period of the variation of the current is T.\nI and R, for the power P dissipated in the resistor for the Determine expressions, in terms of (a)\n0\ntimes when:\nthe current is in the negative direction (i)\nP = ......................................................... [1]\nthe current is in the positive direction. (ii)\nP = ......................................................... [1]\n© UCLES 2023 9702/43/O/N/23\n17\nOn Fig. 7.3, sketch the variation of P with t between t = 0 and t = 2.0T. Label the power axis (b)\nwith an appropriate scale.\nP\n0\nT 1.0 T 1.5 T 2.0 T 0.5 0\nt\nFig. 7.3\n[3]\nI and R, for: Use your answer in to determine an expression, in terms of (c) (b)\n0\n〈P 〉 the mean power in the resistor (i)\n〈P 〉 = ......................................................... [1]\nI in the resistor. the root-mean-square (r.m.s.) current (ii)\nr.m.s.\nI = ......................................................... [2]\nr.m.s.\n[Total: 8]\n[Turn over © UCLES 2023 9702/43/O/N/23" }, { "id": "9702-2023-on-43-q08", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_43.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_43.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2023-on-43-q08-p01.png", "9702-topic-22-quantum-physics/assets/9702-2023-on-43-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-43-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_43.pdf?download=true", "source_pages": [ 14 ], "marks": 10 }, "text_excerpt": "λ Show that the momentum p of a photon of electromagnetic radiation with wavelength is 8 (a) (i)\ngiven by\nh\np =\nλ\nwhere h is the Planck constant.\n[2]\nUse the expression in to show that a photon in free space that has a momentum of (ii) (a)(i)\n10–28 × N s is a photon of red light. 9.5\n[1]\nm–2 is incident normally on a plane mirror, as shown in A beam of red light of intensity 160 W (b)\n10–28 × N s. Fig. 8.1. The momentum of each photon in the beam is 9.5\nplane mirror\nbeam of red light,\nm–2 intensity 160 W\nFig. 8.1\nAll of the light is reflected by the mirror in the opposite direction to its original path.\n10–6 m2. × The cross-sectional area of the beam is 2.5\n© UCLES 2023 9702/43/O/N/23\n19\n1015 s–1. × Show that the number of photons incident on the mirror per unit time is 1.4 (i)\n[2]\nUse the information in to determine the pressure exerted by the light beam on the (ii) (b)(i)\nmirror.\npressure = .................................................... Pa [3]\nThe beam of red light in is now replaced with a beam of blue light of the same intensity. (c) (b)\nSuggest and explain whether the pressure exerted on the mirror by the beam of blue light is\nless than, the same as, or greater than the pressure exerted by the beam of red light.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 10]\n[Turn over © UCLES 2023 9702/43/O/N/23" }, { "id": "9702-2023-on-43-q09", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 9, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_43.pdf?download=true", "source_pages": [ 20, 21, 22 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_43.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2023-on-43-q09-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2023-on-43-q09-p02.png", "9702-topic-23-nuclear-physics/assets/9702-2023-on-43-q09-p03.png" ], "answer": { "status": "available", "id": "9702-2023-on-43-q09", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_43.pdf?download=true", "source_pages": [ 15 ], "marks": 10 }, "text_excerpt": "State what is meant by nuclear fusion. 9 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nOn Fig. 9.1, sketch the variation of binding energy per nucleon with nucleon number A for (b)\nvalues of A between 1 and 250.\nbinding energy\nper nucleon\n0\n250 1\nA\nFig. 9.1\n[2]\nOn your line in Fig. 9.1, label: (c)\na point X that could represent a nucleus that undergoes alpha-decay [1] (i)\na point Y that could represent a nucleus that undergoes nuclear fusion. [1] (ii)\n© UCLES 2023 9702/43/O/N/23\n21\n93 (139Xe) A nucleus Z undergoes nuclear fission to form strontium-93 ( Sr) and xenon-139 (d)\n38 54\naccording to\n93 139 21 1 Sr + Xe + n . n + Z\n38 54 0 0\nTable 9.1 shows the binding energies of the strontium-93 and xenon-139 nuclei.\nTable 9.1\nnucleus binding energy / J\n93 10–10 × Sr 1.25\n38\n10–10 139 × Xe 1.81\n54\n1013 × The fission of 1.00 mol of Z releases 1.77 J of energy.\nDetermine the binding energy per nucleon, in MeV, of Z.\nbinding energy per nucleon = ................................................. MeV [4]\n[Total: 10]\n[Turn over © UCLES 2023 9702/43/O/N/23\n22\nBLANK PAGE\n© UCLES 2023 9702/43/O/N/23" }, { "id": "9702-2023-on-43-q10", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 10, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_43.pdf?download=true", "source_pages": [ 23, 24 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_43.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2023-on-43-q10-p01.png", "9702-topic-24-medical-physics/assets/9702-2023-on-43-q10-p02.png" ], "answer": { "status": "available", "id": "9702-2023-on-43-q10", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_43.pdf?download=true", "source_pages": [ 16 ], "marks": 8 }, "text_excerpt": "Ultrasound and X-rays are both types of wave that are used in medical diagnosis to form images 10\nof internal body structures.\nComplete Table 10.1 to state, for each type of wave: (a)\nthe method of production of the wave ●\nwhether the wave that is detected and used to form the image is the wave that has been ●\nabsorbed, reflected or transmitted by the internal body structure.\nTable 10.1\nultrasound X-rays\n............................................ ............................................ method of\nproduction\n............................................ ............................................\ndetected wave\n(absorbed, reflected ............................................ ............................................\nor transmitted)\n[4]\nFor one type of wave passing through tissue, the wave has 72% of its initial intensity (b) (i)\nafter it has passed through 6.2 cm of the tissue.\nμ of the tissue for this wave. Calculate the linear attenuation coefficient\ncm–1 μ = ................................................ [2]\nAnother wave of the same type as in passes through 9.3 cm of the same tissue. (ii) (b)(i)\nCalculate the percentage of the initial intensity of the wave that is attenuated by the\ntissue.\npercentage attenuated = ..................................................... % [2]\n[Total: 8]\n© UCLES 2023 9702/43/O/N/23\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge\nLocal Examinations Syndicate (UCLES), which is a department of the University of Cambridge.\n© UCLES 2023 9702/43/O/N/23" }, { "id": "9702-2023-on-51-q01", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "51", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_51.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-on-51-q01-p01.png", "9702-practical-skills/assets/9702-2023-on-51-q01-p02.png", "9702-practical-skills/assets/9702-2023-on-51-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2023-on-51-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_51.pdf?download=true", "source_pages": [ 5, 6 ], "marks": 15 }, "text_excerpt": "Two coils, C and D, are placed with their axes on a straight line, as shown in Fig. 1.1. 1\nR\ncoil D\ncoil C\nFig. 1.1\nA resistor of resistance R is connected in series with coil C.\nA changing magnetic flux of frequency f in coil C causes an electromotive force (e.m.f.) E to be\ninduced across the terminals of coil D.\nIt is suggested that E is related to f by the relationship\nqV pf\nE =\nR\nwhere V is the potential difference across the resistor and coil C, and p and q are constants.\nPlan a laboratory experiment to test the relationship between E and f.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for p and q.\nIn your plan you should include:\nthe procedure to be followed ●\nthe measurements to be taken ●\nthe control of variables ●\nthe analysis of the data ●\nany safety precautions to be taken. ●\n© UCLES 2023 9702/51/O/N/23\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n........................................................................................................................................." }, { "id": "9702-2023-on-51-q02", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "51", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_51.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-on-51-q02-p01.png", "9702-practical-skills/assets/9702-2023-on-51-q02-p02.png", "9702-practical-skills/assets/9702-2023-on-51-q02-p03.png", "9702-practical-skills/assets/9702-2023-on-51-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2023-on-51-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_51.pdf?download=true", "source_pages": [ 7, 8, 9, 10 ], "marks": 15 }, "text_excerpt": "A block of modelling clay of mass M is attached to a string as shown in Fig. 2.1. 2\nstring\nblock\npellet\nh\npellet\nFig. 2.1\nA pellet travelling at speed u enters the block and causes the block to move through a vertical\nheight h.\nThe experiment is repeated for different values of M.\nIt is suggested that h and M are related by the equation\n2 1 M Z +\n= 2g\nh uZ c m\nwhere g is the acceleration of free fall and Z is a constant.\n1\non the y-axis against M on the x-axis. A graph is plotted of (a)\nh\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2023 9702/51/O/N/23\n6\nValues of M and h are given in Table 2.1. (b)\nTable 2.1\n1 -1\nM / g h / cm /cm 2\nh\n565 21.0 ± 0.2\n637 17.8 ± 0.2\n675 16.2 ± 0.2\n723 14.6 ± 0.2\n790 12.6 ± 0.2\n892 10.2 ± 0.2\n1 -1\nCalculate and record values of in Table 2.1. /cm 2\nh\n1\nInclude the absolute uncertainties in . [2]\nh\n1 -1\nPlot a graph of against M / g. /cm (c) (i) 2\nh\n1\nInclude error bars for . [2]\nh\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2023 9702/51/O/N/23\n7\n0.32\n0.31\n1 -1\n/cm 2\nh\n0.30\n0.29\n0.28\n0.27\n0.26\n0.25\n0.24\n0.23\n0.22\n0.21\n550 600 650 700 750 800 850 900\n/ g M\n[Turn over © UCLES 2023 9702/51/O/N/23\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of u and Z. Include (d) (i) (c)(iii)\nappropriate units.\n–2 Data: g = 981 cm s\nu = ...............................................................\nZ = ...............................................................\n[2]\nDetermine the percentage uncertainty in Z. (ii)\npercentage uncertainty in Z = ..................................................... % [1]\nThe experiment is repeated. Determine the mass M that gives a value of h of 25.0 cm. (e)\nM = ...................................................... g [1]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\n© UCLES 2023 9702/51/O/N/23" }, { "id": "9702-2023-on-52-q01", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-on-52-q01-p01.png", "9702-practical-skills/assets/9702-2023-on-52-q01-p02.png", "9702-practical-skills/assets/9702-2023-on-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2023-on-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_52.pdf?download=true", "source_pages": [ 5, 6, 7 ], "marks": 15 }, "text_excerpt": "Two identical beakers, each of mass M, are attached to each other using string and suspended 1\nfrom a pulley, as shown in Fig. 1.1.\npulley\nstring\nsurface\nbeakers\nh\n(not to scale) Fig. 1.1\nThe beakers are held at rest at a height h above a surface. Cooking oil of volume V is added to\none of the beakers.\nThe beakers are released so that the beaker with the oil begins to fall. The speed of the beaker as\nit reaches the surface is z.\nIt is suggested that z is related to V by the relationship\n2h 2M 1\n= +\nz2 abV b\nwhere a and b are constants.\nPlan a laboratory experiment to test the relationship between z and V.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for a and b.\nIn your plan you should include:\nthe procedure to be followed ●\nthe measurements to be taken ●\nthe control of variables ●\nthe analysis of the data ●\nany safety precautions to be taken. ●\n© UCLES 2023 9702/52/O/N/23\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n............................................................................." }, { "id": "9702-2023-on-52-q02", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-on-52-q02-p01.png", "9702-practical-skills/assets/9702-2023-on-52-q02-p02.png", "9702-practical-skills/assets/9702-2023-on-52-q02-p03.png", "9702-practical-skills/assets/9702-2023-on-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2023-on-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_52.pdf?download=true", "source_pages": [ 8, 9, 10, 11 ], "marks": 15 }, "text_excerpt": "A student investigates the discharge of capacitors in the circuit shown in Fig. 2.1. 2\nC C\nA B\nV\nR\nFig. 2.1\nand C . The capacitors have capacitances C\nA B\nThe student closes the switch to charge the capacitors.\nThe switch is opened and a stop-watch is started. The capacitors discharge through the resistor of\nresistance R. At a fixed time t the voltmeter reading V is recorded.\nand C . The experiment is repeated for different values of C\nA B\nand C , the combined capacitance C is calculated. For each combination of C\nA B\nIt is suggested that C and V are related by the equation\nt _\nCR I Re V =\n0\nI where is the initial current in the resistor.\n0\n1\non the x-axis. A graph is plotted of lnV on the y-axis against (a)\nC\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2023 9702/52/O/N/23\n6\nValues of C , C and V are given in Table 2.1. (b)\nA B\nTable 2.1\n1 10– 4 10– 4 4 F–1 C / F C / F V / V ln (V / V) / 10\nA B\nC\n2.2 2.2 2.45 ± 0.05\n2.2 3.3 2.75 ± 0.05\n2.2 5.6 3.05 ± 0.05\n3.3 3.3 3.10 ± 0.05\n3.3 5.6 3.50 ± 0.05\n5.6 5.6 3.85 ± 0.05\nThe relationship between C, C and C is\nA B\nC + C 1\nA B\n= .\nC C C\nA B\n1\n104 F–1 Calculate and record values of / and ln (V / V) in Table 2.1.\nC\nInclude the absolute uncertainties in ln (V / V). [2]\n1\n104 F–1. / Plot a graph of ln (V / V) against (c) (i)\nC\nInclude error bars for ln (V / V). [2]\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2023 9702/52/O/N/23\n7\n1.40\n1.35\n/ V) In (V\n1.30\n1.25\n1.20\n1.15\n1.10\n1.05\n1.00\n0.95\n0.90\n0.85\n0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0\n1\n104 F–1 /\nC\n[Turn over © UCLES 2023 9702/52/O/N/23\n8\nDetermine the y-intercept of the line of best fit. Do include the absolute uncertainty. (iv) not\ny-intercept = ......................................................... [1]\nI . Include Using your answers to (a), and (c)(iv), determine the values of R and (d) (i) (c)(iii)\n0\nappropriate units.\nData: t = (30 ± 1) s\nR = ...............................................................\nI = ...............................................................\n0\n[3]\nDetermine the percentage uncertainty in R. (ii)\npercentage uncertainty in R = ..................................................... % [1]\nThe experiment is repeated with the same value of t. Determine the combined capacitance C (e)\nthat gives a value of V of 1.20 V.\nC = ...................................................... F [1]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements " }, { "id": "9702-2023-on-53-q01", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "53", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_53.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-on-53-q01-p01.png", "9702-practical-skills/assets/9702-2023-on-53-q01-p02.png", "9702-practical-skills/assets/9702-2023-on-53-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2023-on-53-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_53.pdf?download=true", "source_pages": [ 5, 6 ], "marks": 15 }, "text_excerpt": "Two coils, C and D, are placed with their axes on a straight line, as shown in Fig. 1.1. 1\nR\ncoil D\ncoil C\nFig. 1.1\nA resistor of resistance R is connected in series with coil C.\nA changing magnetic flux of frequency f in coil C causes an electromotive force (e.m.f.) E to be\ninduced across the terminals of coil D.\nIt is suggested that E is related to f by the relationship\nqV pf\nE =\nR\nwhere V is the potential difference across the resistor and coil C, and p and q are constants.\nPlan a laboratory experiment to test the relationship between E and f.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for p and q.\nIn your plan you should include:\nthe procedure to be followed ●\nthe measurements to be taken ●\nthe control of variables ●\nthe analysis of the data ●\nany safety precautions to be taken. ●\n© UCLES 2023 9702/53/O/N/23\n3\nDiagram\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n..................................................................................................................................................................\n........................................................................................................................................." }, { "id": "9702-2023-on-53-q02", "subject": "9702", "year": 2023, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "53", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_qp_53.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2023-Oct-Nov/qp/9702_w23_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2023-on-53-q02-p01.png", "9702-practical-skills/assets/9702-2023-on-53-q02-p02.png", "9702-practical-skills/assets/9702-2023-on-53-q02-p03.png", "9702-practical-skills/assets/9702-2023-on-53-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2023-on-53-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2023-Oct-Nov/ms/9702_w23_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2023-Oct-Nov/9702_w23_ms_53.pdf?download=true", "source_pages": [ 7, 8, 9, 10 ], "marks": 15 }, "text_excerpt": "A block of modelling clay of mass M is attached to a string as shown in Fig. 2.1. 2\nstring\nblock\npellet\nh\npellet\nFig. 2.1\nA pellet travelling at speed u enters the block and causes the block to move through a vertical\nheight h.\nThe experiment is repeated for different values of M.\nIt is suggested that h and M are related by the equation\n2 1 M Z +\n= 2g\nh uZ c m\nwhere g is the acceleration of free fall and Z is a constant.\n1\non the y-axis against M on the x-axis. A graph is plotted of (a)\nh\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2023 9702/53/O/N/23\n6\nValues of M and h are given in Table 2.1. (b)\nTable 2.1\n1 -1\nM / g h / cm /cm 2\nh\n565 21.0 ± 0.2\n637 17.8 ± 0.2\n675 16.2 ± 0.2\n723 14.6 ± 0.2\n790 12.6 ± 0.2\n892 10.2 ± 0.2\n1 -1\nCalculate and record values of in Table 2.1. /cm 2\nh\n1\nInclude the absolute uncertainties in . [2]\nh\n1 -1\nPlot a graph of against M / g. /cm (c) (i) 2\nh\n1\nInclude error bars for . [2]\nh\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2023 9702/53/O/N/23\n7\n0.32\n0.31\n1 -1\n/cm 2\nh\n0.30\n0.29\n0.28\n0.27\n0.26\n0.25\n0.24\n0.23\n0.22\n0.21\n550 600 650 700 750 800 850 900\n/ g M\n[Turn over © UCLES 2023 9702/53/O/N/23\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of u and Z. Include (d) (i) (c)(iii)\nappropriate units.\n–2 Data: g = 981 cm s\nu = ...............................................................\nZ = ...............................................................\n[2]\nDetermine the percentage uncertainty in Z. (ii)\npercentage uncertainty in Z = ..................................................... % [1]\nThe experiment is repeated. Determine the mass M that gives a value of h of 25.0 cm. (e)\nM = ...................................................... g [1]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\n© UCLES 2023 9702/53/O/N/23" }, { "id": "9702-2024-m-42-q01", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_42.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_42.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2024-m-42-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2024-m-42-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2024-m-42-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_42.pdf?download=true", "source_pages": [ 6 ], "marks": 10 }, "text_excerpt": "Explain why the gravitational potential near to a point mass is negative. 1 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nφ at distance r A planet may be assumed to be a uniform sphere. It has gravitational potential (b)\nfrom the centre of the planet.\n1\nφ is shown in Fig. 1.1. of The variation with\nr\n1\n10–8 m–1 /\nr\n0 3.5 4.0 0.5 1.0 1.5 2.0 2.5 3.0\n0\n–0.4\n–0.8\n–1.2\n–1.6\n108 kg–1 J φ/\n–2.0\n–2.4\nFig. 1.1\n© UCLES 2024 9702/42/F/M/24\n5\n1025 × Show that the mass of the planet is 8.8 kg. (i)\n[2]\nThe period of rotation of the planet is 0.72 Earth days. (ii)\nA satellite in orbit around the planet remains above the same point on the surface of the\nplanet.\nUse the mass of the planet in to determine the radius R of the orbit of the satellite. (b)(i)\nR = ...................................................... m [3]\n–1. The mass of the satellite is 1200 kg. The speed of the satellite in is 8400 m s (iii) (b)(ii)\nDetermine the additional energy required to move the satellite from its orbit to infinity.\nenergy required = ....................................................... J [3]\n[Total: 10]\n[Turn over © UCLES 2024 9702/42/F/M/24" }, { "id": "9702-2024-m-42-q02", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_42.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2024-m-42-q02-p01.png", "9702-topic-16-thermodynamics/assets/9702-2024-m-42-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2024-m-42-q02", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_42.pdf?download=true", "source_pages": [ 7 ], "marks": 11 }, "text_excerpt": "By referring to both kinetic energy and potential energy, explain what is meant by the internal 2 (a)\nenergy of an ideal gas.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n°C A fixed mass of an ideal gas at a temperature of 20 is sealed in a cylinder by a piston, as (b)\nshown in Fig. 2.1.\ncylinder\npiston\ngas\nFig. 2.1\n10–4m3. × The initial volume of the gas is 1.24\n10–5 m3. × Thermal energy is supplied to the gas and its volume increases by 5.20\nThe piston is freely moving so that the gas is always at atmospheric pressure. (i)\n5 × Pa. Atmospheric pressure is 1.01 10\nCalculate the work done by the gas.\nwork done by gas = ....................................................... J [2]\n© UCLES 2024 9702/42/F/M/24\n7\nCalculate the final thermodynamic temperature T of the gas. (ii)\nT = ...................................................... K [2]\nThe mass of the gas is 16 g. For this expansion, there is a net transfer of 960 J of thermal (iii)\nenergy to the gas.\nCalculate the specific heat capacity c of the gas at this pressure.\n–1 K–1 [2] c = .......................................... J kg\nThe gas in is allowed to return to its starting temperature. The piston is now fixed in (c) (b)\nposition.\nThermal energy is supplied to increase the temperature to the same final temperature as in (b).\nUse the first law of thermodynamics to suggest and explain how the specific heat capacity of\nthe gas for this situation compares with the value in (b)(iii).\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 11]\n[Turn over © UCLES 2024 9702/42/F/M/24" }, { "id": "9702-2024-m-42-q03", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2024-m-42-q03-p01.png", "9702-topic-17-oscillations/assets/9702-2024-m-42-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2024-m-42-q03", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_42.pdf?download=true", "source_pages": [ 7, 8 ], "marks": 7 }, "text_excerpt": "A small object of mass 24 g rests on a platform. The platform is attached to an oscillator, as shown 3\nin Fig. 3.1.\nobject\nplatform\noscillator\nFig. 3.1\nThe oscillator moves the platform up and down.\n–4 × J. The total energy of the oscillations of the object is 2.2 10 (a)\nIn one oscillation the object travels a total distance of 14 mm.\nω of the oscillations. Calculate the angular frequency\ns–1 ω = .............................................. rad [3]\nThe frequency of the oscillator is fixed, and the amplitude of the oscillations is gradually (b)\nincreased.\nCalculate the maximum amplitude of the oscillations so the object does not lose contact (i)\nwith the platform.\namplitude = ...................................................... m [2]\n© UCLES 2024 9702/42/F/M/24\n9\nThe amplitude of the oscillations is increased so it is greater than the value in (b)(i). (ii)\nState and explain the position in an oscillation where the object first loses contact with\nthe platform.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n[Total: 7]\n[Turn over © UCLES 2024 9702/42/F/M/24" }, { "id": "9702-2024-m-42-q04", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2024-m-42-q04-p01.png", "9702-topic-21-alternating-currents/assets/9702-2024-m-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2024-m-42-q04", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_42.pdf?download=true", "source_pages": [ 8, 9 ], "marks": 10 }, "text_excerpt": "Three capacitors are connected as shown in Fig. 4.1. 4 (a)\nμF 10\nμF 45\nμF 20\nFig. 4.1\nμF, Determine the total capacitance, in of the network of three capacitors.\nμF capacitance = .................................................... [2]\nμF A capacitor of capacitance 45 is connected to a variable power supply initially set at 8.0 V. (b)\nThe output of the power supply increases so that the potential difference (p.d.) across the\ncapacitor increases to 9.6 V.\nΔE Calculate the increase in energy stored in the capacitor.\nΔE = ....................................................... J [2]\nA sinusoidal a.c. power supply is connected to the input of a bridge rectifier. (c)\nThe output of the rectifier is connected to a load resistor.\nComplete the circuit in Fig. 4.2 by adding a capacitor to smooth the p.d. across the (i)\nload resistor.\nconnections from\nload\noutput of bridge\nresistor\nrectifier\nFig. 4.2\n[1]\n© UCLES 2024 9702/42/F/M/24\n11\nThe variation with time t of the p.d. V of the smoothed output is shown in Fig. 4.3. (ii)\n4\nV / V\n3\n2\n1\n0\n5 10 15 20 25 30 0\n/ ms t\nFig. 4.3\nDetermine the time constant, in ms, of the smoothing circuit.\ntime constant = .................................................... ms [3]\nA sinusoidal a.c. power supply has a maximum power of 16 W. (d)\nState the value of the mean power when the output of the power supply is:\nfull‑wave rectified (i)\nmean power = ..................................................... W [1]\nhalf‑wave rectified. (ii)\nmean power = ..................................................... W [1]\n[Total: 10]\n[Turn over © UCLES 2024 9702/42/F/M/24" }, { "id": "9702-2024-m-42-q05", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2024-m-42-q05-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2024-m-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2024-m-42-q05", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 10 }, "text_excerpt": "An object travels in a circle at constant speed. 5 (a)\nState the names of quantities that vary during the motion of the object. two\n1 ................................................................................................................................................\n2 ................................................................................................................................................\n[2]\nA charged particle of mass m and with charge q enters a region of uniform magnetic field, (b)\nperpendicular to the field lines. The magnetic flux density is B.\nThe particle travels in a circle with period T and radius r.\nBy considering the magnetic force acting on the particle, show that (i)\n2πm\n. B =\nqT\n[3]\nμs. The particle is an alpha particle. The period of the circular motion is 2.5 (ii)\nCalculate B.\nB = ....................................................... T [2]\nA second alpha particle is in the same uniform field. It travels in a circle of radius 2r. (iii)\nState and explain how the periods of the motion of the two particles compare.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\n© UCLES 2024 9702/42/F/M/24\n13\n106 s–1. × The speed of the alpha particle in is 1.1 m An electric field is applied so (iv) (b)(ii)\nthat this particle now moves with constant velocity.\nUse your answer in to calculate the electric field strength E. Give the unit with (b)(ii)\nyour answer.\nE = ............................................... unit ............................. [2]\n[Total: 10]\n[Turn over © UCLES 2024 9702/42/F/M/24" }, { "id": "9702-2024-m-42-q06", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_42.pdf?download=true", "source_pages": [ 14, 15, 16, 17 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2024-m-42-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2024-m-42-q06-p02.png", "9702-topic-20-magnetic-fields/assets/9702-2024-m-42-q06-p03.png", "9702-topic-20-magnetic-fields/assets/9702-2024-m-42-q06-p04.png" ], "answer": { "status": "available", "id": "9702-2024-m-42-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_42.pdf?download=true", "source_pages": [ 10 ], "marks": 11 }, "text_excerpt": "cm2. A small coil C has 64 turns and cross‑sectional area 0.71 The coil is placed inside a 6 (a)\nsolenoid as shown in Fig. 6.1.\nX Y\ncentral axis\nsolenoid\ncurrent coil C\nFig. 6.1\nThe centre of coil C is on the central axis of the solenoid.\nThere is a constant current in the solenoid. (i)\nCoil C is moved through the solenoid from position X to position Y.\nOn Fig. 6.2, sketch a line to show the variation of the magnetic flux linkage in coil C with\nposition as it moves from X to Y.\nflux linkage\n0\nX Y\nposition\nFig. 6.2\n[1]\nExplain the shape of your line in (a)(i). (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n© UCLES 2024 9702/42/F/M/24\n15\nCoil C is now held stationary at X. The current in the solenoid varies so that the magnetic (iii)\nflux density B at X varies from time 0 to time 4t as shown in Fig. 6.3.\n0.080\nB / T\n0.040\n0\n0 4t t 2t 3t\ntime\nFig. 6.3\nCalculate the maximum magnetic flux linkage in coil C.\nflux linkage = ................................................... Wb [2]\nOn Fig. 6.4, sketch a line to show the induced electromotive force (e.m.f.) E in coil C (iv)\nfrom time 0 to time 4t.\nE\n0\n4t 0 t 2t 3t\ntime\nFig. 6.4\n[3]\n[Turn over © UCLES 2024 9702/42/F/M/24\n16\nA metal spring rests on a smooth table. The turns of the spring are equally spaced. The ends (b)\nof the spring are connected to a d.c. power supply, as shown in Fig. 6.5.\nspring\nto power\nto power supply\nsupply\nsmooth table\nFig. 6.5\nThe spring is connected to the d.c. power supply using flexible leads. The spring is not under\ntension.\nWith reference to magnetic fields, describe and explain the change in the distance between\nthe turns of the spring when the power supply is first switched on.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 11]\n© UCLES 2024 9702/42/F/M/24\n17\nBLANK PAGE\n[Turn over © " }, { "id": "9702-2024-m-42-q07", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_42.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2024-m-42-q07-p01.png", "9702-topic-22-quantum-physics/assets/9702-2024-m-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2024-m-42-q07", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_42.pdf?download=true", "source_pages": [ 11 ], "marks": 9 }, "text_excerpt": "10–19 × A photon has an energy of 3.11 J. 7 (a)\nCalculate the momentum of the photon.\nmomentum = .................................................... N s [2]\nA laser beam has a power of 350 mW. The light from the laser has a wavelength of 640 nm. (b)\nDetermine the number of photons emitted by the laser in a time of 1.0 s. (i)\nnumber = ......................................................... [2]\nThe laser beam is incident normally on a surface that absorbs all of the photons. (ii)\nShow that the force F exerted on the surface by the laser beam is given by\nP\nF =\nc\nwhere P is the power of the laser beam and c is the speed of light.\n[2]\n© UCLES 2024 9702/42/F/M/24\n19\nLight of a single wavelength is incident on the surface of different metals. The work function (c)\nenergy of the metals is given in Table 7.1.\nTable 7.1\nmetal work function energy / eV\ntungsten 4.49\nmagnesium 3.68\npotassium 2.26\nExplain the term threshold wavelength. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\nFor the metals in Table 7.1, calculate the value of the largest threshold wavelength. (ii)\nthreshold wavelength = ...................................................... m [2]\n[Total: 9]\n[Turn over © UCLES 2024 9702/42/F/M/24" }, { "id": "9702-2024-m-42-q08", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_42.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2024-m-42-q08-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2024-m-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2024-m-42-q08", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_42.pdf?download=true", "source_pages": [ 11, 12 ], "marks": 9 }, "text_excerpt": "State what is meant by the binding energy of a nucleus. 8 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA nucleus of uranium‑235 absorbs a neutron and becomes unstable. It then undergoes a (b)\nfission reaction. One possible reaction is\n235U 1n 142Xe 90Sr + + + neutrons.\n92 0 54 38\nDetermine the number of neutrons produced in this fission reaction. (i)\nnumber = ......................................................... [1]\nData for the binding energies per nucleon for this fission reaction are given in Table 8.1. (ii)\nTable 8.1\nisotope binding energy per nucleon / MeV\nuranium‑235 7.59\nxenon‑142 8.37\nstrontium‑90 8.72\nCalculate the energy released, in MeV, from the fission of one nucleus of uranium‑235.\nenergy = ................................................. MeV [2]\n© UCLES 2024 9702/42/F/M/24\n21\nThe isotope xenon‑142 is unstable. The isotope xenon‑132 is stable. (iii)\nSuggest a reason why xenon‑142 is unstable.\n...........................................................................................................................................\n..................................................................................................................................... [1]\nXenon‑142 decays into the isotope caesium‑142. (iv)\nA sample initially contains only nuclei of xenon‑142. After a time equal to 6.0 s, the ratio\nnumber of decayed nuclei of xenon‑142\nnumber of undecayed nuclei of xenon‑142\nis equal to 31.\nCalculate the half‑life of xenon‑142. Show your working.\nhalf‑life = ....................................................... s [3]\n[Total: 9]\n[Turn over © UCLES 2024 9702/42/F/M/24" }, { "id": "9702-2024-m-42-q09", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_42.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2024-m-42-q09-p01.png", "9702-topic-24-medical-physics/assets/9702-2024-m-42-q09-p02.png", "9702-topic-24-medical-physics/assets/9702-2024-m-42-q09-p03.png" ], "answer": { "status": "available", "id": "9702-2024-m-42-q09", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_42.pdf?download=true", "source_pages": [ 12, 13 ], "marks": 13 }, "text_excerpt": "Electrons in a vacuum are accelerated through a potential difference of 84 kV. The electrons 9 (a)\nthen strike a metal target and X‑rays are produced.\nCalculate the minimum wavelength of the X‑rays that are produced. (i)\nwavelength = ...................................................... m [2]\nThe melting points of two metals are given in Table 9.1. (ii)\nTable 9.1\n°C metal melting point /\ncopper 1090\ntungsten 3420\nSuggest why the metal target is made from tungsten rather than copper.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nAn X‑ray beam is incident normally on a sample of soft tissue and bone as shown in Fig. 9.1. (b)\nbone\nX-ray\nbeam\nsoft tissue\nFig. 9.1\nData for the two materials are given in Table 9.2.\n© UCLES 2024 9702/42/F/M/24\n23\nTable 9.2\nlinear attenuation coefficient specific acoustic impedance\nmedium\ncm–1 106 m–2 s–1 μ / kg Z /\nsoft tissue 0.22 1.7\nbone 3.0 7.8\nThe total thickness of soft tissue is x. The total thickness of bone is also x.\nI . The transmitted intensity of the X‑ray beam is The incident intensity of the X‑ray beam is\n0\n13% of the incident intensity.\nDetermine x, in cm.\nx = .................................................... cm [3]\nDefine the specific acoustic impedance of a medium. (c) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nUse data from Table 9.2 to calculate the percentage of the intensity of ultrasound that is (ii)\ntransmitted at a boundary between soft tissue and bone.\npercentage transmitted = ......................................................% [2]\n[Turn over © UCLES 2024 9702/42/F/M/24\n24\nThe ultrasound is now incident on the sample of soft tissue and bone shown in Fig. 9.1. (iii)\nSuggest reasons why the transmitted intensity through the sample is less than the two\nanswer in (c)(ii).\n1 ........................................................................................................................................\n...........................................................................................................................................\n2 ........................................................................................................................................\n........................................................................." }, { "id": "9702-2024-m-42-q10", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_42.pdf?download=true", "source_pages": [ 25, 26, 27, 28 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_42.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-m-42-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-m-42-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-m-42-q10-p03.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-m-42-q10-p04.png" ], "answer": { "status": "available", "id": "9702-2024-m-42-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_42.pdf?download=true", "source_pages": [ 13, 14 ], "marks": 10 }, "text_excerpt": "1026 × The Sun has a surface temperature of 5780 K. The luminosity of the Sun is 3.85 W. 10 (a)\nCalculate the radius of the Sun. (i)\nradius = ...................................................... m [2]\n11 × m from the Sun. The Earth is a distance of 1.50 10 (ii)\nCalculate the radiant flux intensity F of the radiation from the Sun at a distance of\n1011 × m. Give a unit with your answer. 1.50\nF = ............................... unit ......................... [2]\nThe variation with wavelength of the intensity of radiation emitted from the Sun is shown (iii)\nin Fig. 10.1.\nintensity\n0\n0\nwavelength\nFig. 10.1\nAnother star has the same radius as the Sun but has a lower surface temperature.\nOn Fig. 10.1, sketch a line to show the variation with wavelength of the intensity of the\nradiation emitted for this star. [2]\n[Turn over © UCLES 2024 9702/42/F/M/24\n26\nA galaxy in the constellation Corona Borealis is moving away from the Earth. (b)\nThe visible emission spectrum for the Sun is shown in Fig. 10.2. (i)\n600 650 700 350 400 450 500 550\n/ nm wavelength\nFig. 10.2\nThe lines are at wavelengths of 397 nm, 410 nm, 434 nm, 486 nm and 656 nm. The\ncompositions of the Sun and a star in the Corona Borealis galaxy are similar.\nOn Fig. 10.3, sketch the emission spectrum for the star in the Corona Borealis galaxy as\nobserved from the Earth. No calculations are required.\n600 650 700 350 400 450 500 550\n/ nm wavelength\nFig. 10.3\n[1]\ns–1. The galaxy in Corona Borealis is moving away from the Earth at a speed of 21 400 km (ii)\nUse information from to calculate, in nm, the observed wavelength of the lowest (b)(i)\nvisible energy emission for the star in the Corona Borealis galaxy.\nwavelength = .................................................... nm [2]\nThe wavelength in is used to calculate a value for the surface temperature of the (iii) (b)(ii)\nstar in the Corona Borealis galaxy. The calculation does not give an accurate value.\nState and explain whether this value of temperature is too high or too low.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\n[Total: 10]\n© UCLES 2024 9702/42/F/M/24\n27\nBLANK PAGE\n© UCLES 2024 9702/42/F/M/24\n28\nBLANK PAGE\nPermission to reproduce items where third‑party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer‑related information to candidates, all copyrigh" }, { "id": "9702-2024-m-52-q01", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-m-52-q01-p01.png", "9702-practical-skills/assets/9702-2024-m-52-q01-p02.png", "9702-practical-skills/assets/9702-2024-m-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2024-m-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_52.pdf?download=true", "source_pages": [ 5, 6 ], "marks": 15 }, "text_excerpt": "Fig. 1.1 shows a thin cylindrical metal rod of length L. 1\nL\nFig. 1.1\nOne end of the rod is hit with a hammer. A stationary sound wave is set up within the rod. The rod\nvibrates at its resonant frequency f.\nA microphone placed at the other end of the rod detects the sound wave emitted from the rod. The\nfrequency of the detected sound is also f.\nA number of rods of different length are available.\nIt is suggested that f is related to L by the relationship\nE\nn = 2f L\nρ\nρ where is the density of the metal, and E and n are constants.\nPlan a laboratory experiment to test the relationship between f and L.\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for E and n.\nIn your plan you should include:\n• the procedure to be followed\n• the measurements to be taken\n• the control of variables\n• the analysis of the data\n• any safety precautions to be taken.\n© UCLES 2024 9702/52/F/M/24\n3\nDiagram\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n[Turn over © UCLES 2024 9" }, { "id": "9702-2024-m-52-q02", "subject": "9702", "year": 2024, "session": "March", "session_code": "m", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2024-March/qp/9702_m24_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-m-52-q02-p01.png", "9702-practical-skills/assets/9702-2024-m-52-q02-p02.png", "9702-practical-skills/assets/9702-2024-m-52-q02-p03.png", "9702-practical-skills/assets/9702-2024-m-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2024-m-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-March/ms/9702_m24_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-March/9702_m24_ms_52.pdf?download=true", "source_pages": [ 6, 7, 8, 9 ], "marks": 15 }, "text_excerpt": "A student investigates an electrical circuit. 2\nA power supply with negligible internal resistance is connected to six resistors, each of resistance Z,\nand a resistor of resistance R, as shown in Fig. 2.1.\npower supply\nZ\nZ\nZ R\nA\nZ\nZ\nZ\nFig. 2.1\nI. The current measured by the ammeter is\nThe experiment is repeated for different values of R.\nI It is suggested that and R are related by the equation\n3IR 4IZ E = +\nwhere E is the electromotive force (e.m.f.) of the power supply.\n1\non the y-axis against R on the x-axis. A graph is plotted of (a)\nI\nDetermine expressions for the gradient and y-intercept.\ngradient = ..............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2024 9702/52/F/M/24\n6\nI Values of R and are given in Table 2.1. (b)\nTable 2.1\n1\n–1 kΩ μA I R / / / A\nI\n1.25 225 ± 5\n2.55 185 ± 5\n3.90 160 ± 5\n5.25 140 ± 5\n6.55 125 ± 5\n7.80 115 ± 5\n1\nA–1 / Calculate and record values of in Table 2.1.\nI\n1\n. [2] Include the absolute uncertainties in\nI\n1 1\nA–1 kΩ. / . [2] Plot a graph of against R / Include error bars for (c) (i)\nI I\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2024 9702/52/F/M/24\n7\n9500\n9000\n1\nA–1 /\nI\n8500\n8000\n7500\n7000\n6500\n6000\n5500\n5000\n4500\n4000\n1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0\nkΩ R /\n[Turn over © UCLES 2024 9702/52/F/M/24\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nUsing your answers to (a), and (c)(iv), determine the values of E and Z. Include (d) (i) (c)(iii)\nappropriate units.\nE = ...............................................................\nZ = ...............................................................\n[2]\nDetermine the percentage uncertainty in Z. (ii)\npercentage uncertainty in Z = ..................................................... % [1]\nI The experiment is repeated. Determine the resistance R that gives a value of of 0.10 mA. (e)\nΩ R = ..................................................... [1]\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\n© UCLES 2024 9702/52/F/M/24" }, { "id": "9702-2024-mj-41-q01", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_41.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_41.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2024-mj-41-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2024-mj-41-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-41-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_41.pdf?download=true", "source_pages": [ 6 ], "marks": 10 }, "text_excerpt": "Define gravitational potential at a point. 1 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA satellite X, of mass M, orbits a planet at a constant distance 4R from the centre of the (b)\nplanet, as shown in Fig. 1.1.\nplanet\norbit of Y\nsatellite X,\nmass M\nR 4R\nsatellite Y,\nmass 2M\norbit of X\n(not to scale) Fig. 1.1\nA second satellite Y, of mass 2M, orbits the planet with orbital radius R.\n–Φ. The planet is a uniform sphere. The gravitational potential at X due to the planet is\nExplain why the gravitational potential at X is negative. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nΦ, for the gravitational potential at Y due to the planet. State an expression, in terms of (ii)\ngravitational potential = ......................................................... [2]\n© UCLES 2024 9702/41/M/J/24\n5\nΦ, Complete Table 1.1 by giving expressions, in terms of some or all of M, R and for the (iii)\nquantities indicated for each of the satellites X and Y.\nTable 1.1\nsatellite X satellite Y\ngravitational field strength\nat satellite due to planet\ngravitational potential\nenergy of satellite\n[4]\n[Total: 10]\n[Turn over © UCLES 2024 9702/41/M/J/24" }, { "id": "9702-2024-mj-41-q02", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 2, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_41.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_41.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2024-mj-41-q02-p01.png", "9702-topic-14-temperature/assets/9702-2024-mj-41-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-41-q02", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_41.pdf?download=true", "source_pages": [ 7 ], "marks": 7 }, "text_excerpt": "State the magnitude and unit of absolute zero on the thermodynamic temperature scale. 2 (a) (i)\n..................................................................................................................................... [1]\nExplain why temperature measured using a laboratory liquid-in-glass thermometer does (ii)\ngive a measurement of thermodynamic temperature. not\n...........................................................................................................................................\n..................................................................................................................................... [1]\nFig. 2.1 shows a simplified diagram of a type of thermometer called a platinum resistance (b)\nthermometer.\nplastic strip platinum wire\nX\nY\nlarge glass tube\nFig. 2.1\nThe glass tube is immersed in the environment for which the temperature is to be determined.\nThe resistance between the terminals X and Y is measured.\nρ of platinum with thermodynamic temperature T. Fig. 2.2 shows the variation of the resistivity\nρ\n0\nT\nFig. 2.2\n© UCLES 2024 9702/41/M/J/24\n7\nExplain how Fig. 2.2 shows that platinum is a suitable metal for use in a resistance (i)\nthermometer.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nSuggest a reason why a platinum resistance thermometer is suitable for measuring (ii) not\na rapidly changing temperature.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\nSuggest a type of thermometer that is suitable for measuring a rapidly changing (iii)\ntemperature.\n..................................................................................................................................... [1]\nA negative temperature coefficient thermistor may be used as a type of resistance (c)\nthermometer.\nState way in which the variation with temperature of the resistance of a thermistor differs one\nfrom that of a platinum wire.\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 7]\n[Turn over © UCLES 2024 9702/41/M/J/24" }, { "id": "9702-2024-mj-41-q03", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_41.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_41.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2024-mj-41-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2024-mj-41-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-41-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_41.pdf?download=true", "source_pages": [ 8 ], "marks": 12 }, "text_excerpt": "State what is meant by an ideal gas. 3 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nUse one of the basic assumptions of the kinetic theory to explain what can be deduced (ii)\nabout the potential energy associated with the random motion of molecules in an ideal\ngas.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n3 105 × of an ideal gas is at pressure 2.0 Pa and temperature 290 K. A sample of 0.26 m (b)\nDetermine:\nthe number N of molecules of the gas (i)\nN = ......................................................... [2]\nof one molecule of the gas the average translational kinetic energy E (ii)\nK\nE = ...................................................... J [2]\nK\nthe internal energy of the gas. Explain your reasoning. (iii)\ninternal energy = ...................................................... J [2]\n© UCLES 2024 9702/41/M/J/24\n9\nThe volume V of the gas in is now varied, keeping its pressure constant. (c) (b)\nOn Fig. 3.1, sketch the variation with V of the internal energy U of the gas.\nU\n0\n0\nV\nFig. 3.1\n[2]\n[Total: 12]\n[Turn over © UCLES 2024 9702/41/M/J/24" }, { "id": "9702-2024-mj-41-q04", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_41.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_41.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2024-mj-41-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2024-mj-41-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-41-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_41.pdf?download=true", "source_pages": [ 9 ], "marks": 8 }, "text_excerpt": "State what is meant by resonance. 4 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA small ball is held in place using a stretched string. One end of the string is fixed to a wall (b)\nand the other end is attached to a vibration generator, as shown in Fig. 4.1.\nball\nwall\nvibration\ngenerator\nstring\nFig. 4.1\nInitially, the vibration generator is switched off.\nA student displaces the ball vertically and then releases it. Fig. 4.2 shows the variation of the\ndisplacement of the ball with time after it is released.\ndisplacement\n0\n0 0.6 0.1 0.2 0.3 0.4 0.5\ntime / s\nFig. 4.2\n© UCLES 2024 9702/41/M/J/24\n11\nState the name of the phenomenon illustrated by the decrease in the amplitude of the (i)\noscillations in Fig. 4.2.\n..................................................................................................................................... [1]\nExplain the decrease with time of the amplitude of the oscillations of the ball. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nDetermine the frequency of the oscillations of the ball. (iii)\nfrequency = .................................................... Hz [1]\nThe vibration generator in is switched on and its frequency f of vibration is gradually (c) (b)\nincreased from 0 to 10 Hz.\nOn Fig. 4.3, sketch the variation with f of the amplitude of the oscillations of the ball.\namplitude\n0\n7.5 10.0 0 2.5 5.0\n/ Hz f\nFig. 4.3\n[2]\n[Total: 8]\n[Turn over © UCLES 2024 9702/41/M/J/24" }, { "id": "9702-2024-mj-41-q05", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 5, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_41.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2024-mj-41-q05-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2024-mj-41-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-41-q05", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_41.pdf?download=true", "source_pages": [ 10 ], "marks": 13 }, "text_excerpt": "Define electric field. 5 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nFig. 5.1 shows two parallel conducting plates that are in a vacuum. The plates are separated (b)\nby a distance of 6.7 cm and have a potential difference (p.d.) of 430 V between them.\n+430 V\nconducting plate\nelectron, speed\n6.7 cm\n107 s–1 × m 2.6\nconducting plate\n0 V\nFig. 5.1\nOn Fig. 5.1, draw four field lines to represent the electric field between the plates. [2] (i)\nDetermine the strength E of the electric field between the plates. (ii)\nC–1 [2] E = ............................................... N\n107 s–1 × m towards the region between the plates, An electron travels at a speed of 2.6 (iii)\nas shown in Fig. 5.1.\nOn Fig. 5.1, draw the path of the electron as it moves between and beyond the plates. [2]\n© UCLES 2024 9702/41/M/J/24\n13\nA uniform magnetic field is now applied in the region of the electric field in Fig. 5.1, so that the (c)\nelectron in travels undeviated through the region. (b)(iii)\nDetermine the direction of the uniform magnetic field. (i)\n..................................................................................................................................... [1]\nExplain, with reference to the forces exerted by the two fields on the electron, why the (ii)\npath of the electron is undeviated.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nDetermine the flux density B of the uniform magnetic field. Give a unit with your answer. (iii)\nB = ................................. unit ............... [2]\n[Total: 13]\n[Turn over © UCLES 2024 9702/41/M/J/24" }, { "id": "9702-2024-mj-41-q06", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_41.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_41.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2024-mj-41-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2024-mj-41-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-41-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_41.pdf?download=true", "source_pages": [ 11 ], "marks": 10 }, "text_excerpt": "Fig. 6.1 shows a capacitor of capacitance C connected in series with a resistor of resistance R. 6\nC\nR\nFig. 6.1\nInitially the switch is open and there is a p.d. of 12 V across the capacitor.\nI At time t = 0, the switch is closed so that there is a current in the resistor.\nI Fig. 6.2 shows the variation of with t.\n0.2\nI / mA\n0.1\n0\n0 2 4 6 8\n/ s t\nFig. 6.2\nExplain the shape of the line in Fig. 6.2. (a)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n© UCLES 2024 9702/41/M/J/24\n15\nUse Fig. 6.2 to determine: (b)\nresistance R (i)\nΩ R = ..................................................... [2]\nτ of the circuit in Fig. 6.1. the time constant (ii)\nτ = ...................................................... s [3]\nUse your answers in to determine capacitance C. (c) (b)\nC = ...................................................... F [2]\n[Total: 10]\n[Turn over © UCLES 2024 9702/41/M/J/24" }, { "id": "9702-2024-mj-41-q07", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 7, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_41.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_41.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2024-mj-41-q07-p01.png", "9702-topic-14-temperature/assets/9702-2024-mj-41-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-41-q07", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_41.pdf?download=true", "source_pages": [ 12 ], "marks": 10 }, "text_excerpt": "A circuit contains a power supply that provides a sinusoidal alternating input voltage V . There is 7\nIN\nacross a load resistor R, as shown in Fig. 7.1. an output voltage V\nOUT\nV\nIN\nV R\nOUT\nFig. 7.1\nState the purpose of the circuit in Fig. 7.1. (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nwith time t. Fig. 7.2 shows the variation of V (b)\nOUT\n10\n/ V V\nOUT\n5\n0\n0 0.02 0.04 0.06 0.08\nt / s\nFig. 7.2\n© UCLES 2024 9702/41/M/J/24\n17\nΩ. The load resistor R has a resistance of 370 (i)\nShow that the maximum power dissipated in R is 0.22 W.\n[2]\nOn Fig. 7.3, sketch the variation with t of the power P dissipated in R. (ii)\n0.4\n/ W P\n0.2\n0\n0 0.02 0.04 0.06 0.08\nt / s\nFig. 7.3\n[3]\nCalculate the mean power dissipated in R. (iii)\nmean power = ..................................................... W [1]\nThe circuit of Fig. 7.1 is disconnected, and R is connected directly across the power supply. (c)\nExplain, without calculation, how the mean power now dissipated in R compares with the\nanswer in (b)(iii).\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 10]\n[Turn over © UCLES 2024 9702/41/M/J/24" }, { "id": "9702-2024-mj-41-q08", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 8, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_41.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_41.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2024-mj-41-q08-p01.png", "9702-topic-24-medical-physics/assets/9702-2024-mj-41-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-41-q08", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_41.pdf?download=true", "source_pages": [ 13 ], "marks": 13 }, "text_excerpt": "State what is meant by a photon. 8 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nFig. 8.1 shows a tube in which X-rays are produced at a metal target. (b)\nX Y\nparticles\nfilament\nvacuum glass tube\nmetal target\nFig. 8.1\nParticles are accelerated from the filament to the target by a constant high voltage applied\nacross the terminals X and Y.\nState the name of the particles. (i)\n..................................................................................................................................... [1]\nOn Fig. 8.1, use + and – signs to label terminals X and Y to indicate the polarity of the (ii)\nhigh voltage. [1]\n© UCLES 2024 9702/41/M/J/24\n19\nFor an accelerating voltage of 32 kV in Fig. 8.1, determine: (c)\nthe maximum energy, in MeV, of an X-ray photon produced at the target (i)\nmaximum photon energy = ................................................. MeV [1]\nthe maximum momentum of an X-ray photon produced at the target (ii)\nmaximum photon momentum = ................................................... N s [2]\nthe minimum wavelength of X-rays produced at the target. (iii)\nminimum wavelength = ..................................................... m [3]\nExplain why X-rays can be used to produce images of internal body structures that have (d)\ngood contrast.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 13]\n[Turn over © UCLES 2024 9702/41/M/J/24" }, { "id": "9702-2024-mj-41-q09", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 9, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_41.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_41.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2024-mj-41-q09-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2024-mj-41-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-41-q09", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_41.pdf?download=true", "source_pages": [ 14 ], "marks": 8 }, "text_excerpt": "Define half-life of a radioactive isotope. 9 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\nRadioactive isotope X decays to isotope Y. (b)\nA sample contains only nuclei of X at time t = 0. Fig. 9.1 shows the variation with t of the\nnumbers of nuclei of X and of Y as the sample decays.\n4\nY\nnumber of\n1022 nuclei /\n3\n2\n1\nX\n0\n0 10 20 30 40 50 60\nt / s\nFig. 9.1\nState the name of the quantity represented by the magnitude of the gradient of line X in (i)\nFig. 9.1.\n..................................................................................................................................... [1]\n© UCLES 2024 9702/41/M/J/24\n21\nState conclusions about X or Y that may be drawn from Fig. 9.1. The conclusions (ii) three\nmay be qualitative or quantitative. Use the space below for any working that you need.\n1 ........................................................................................................................................\n...........................................................................................................................................\n2 ........................................................................................................................................\n...........................................................................................................................................\n3 ........................................................................................................................................\n...........................................................................................................................................\n[3]\n–4 × kg at time t = 0. The mass of radioactive isotope X in the sample in is 7.3 10 (c) (b)\nDetermine the nucleon number of isotope X.\nnucleon number = ......................................................... [3]\n[Total: 8]\n[Turn over © UCLES 2024 9702/41/M/J/24" }, { "id": "9702-2024-mj-41-q10", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_41.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_41.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-mj-41-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-mj-41-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-mj-41-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2024-mj-41-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_41.pdf?download=true", "source_pages": [ 15 ], "marks": 9 }, "text_excerpt": "State what is meant by the luminosity of a star. 10 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nExplain how a standard candle in a distant galaxy can be used to determine the distance (ii)\nof the galaxy from an observer.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n8 × m and a surface temperature of 5780 K. The Sun has a radius of 6.96 10 (b)\nLight from the Sun is observed to have a peak intensity at a wavelength of 501 nm.\nCalculate the luminosity of the Sun. Give a unit with your answer. (i)\nluminosity = ................................. unit ............... [2]\nAnother star emits radiation that has a peak intensity at a wavelength of 624 nm. (ii)\nDetermine the surface temperature of this star.\nsurface temperature = .......................................................K [2]\n[Total: 9]\n© UCLES 2024 9702/41/M/J/24\n23\nBLANK PAGE\n© UCLES 2024 9702/41/M/J/24\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge\nLocal Examinations Syndicate (UCLES), which is a department of the University of Cambridge.\n© UCLES 2024 9702/41/M/J/24" }, { "id": "9702-2024-mj-42-q01", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 12, "topic": "Motion in a circle", "topic_slug": "9702-topic-12-motion-in-a-circle", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_42.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_42.pdf", "image_paths": [ "9702-topic-12-motion-in-a-circle/assets/9702-2024-mj-42-q01-p01.png", "9702-topic-12-motion-in-a-circle/assets/9702-2024-mj-42-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-42-q01", "html": "9702-topic-12-motion-in-a-circle/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_42.pdf?download=true", "source_pages": [ 6 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:3)(cid:1)(cid:5)(cid:44)\n1 (a) Define the radian.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n............................................................................................................................................. [1]\nTON\n(b) A circular metal disc spins horizontally about a vertical axis, as shown in Fig. 1.1.\nOD\nrotation\nmetal disc\naxis\nNIGRAM\nSIHT\nNI\nETIRW\nmodelling clay\n9.3 cm\nTON\n1.2 cm OD\nNIGRAM Fig. 1.1 (not to scale)\nA piece of modelling clay is attached to the disc.\nSIHT\nFor the instant when the piece of modelling clay is in the position shown, draw on Fig. 1.1: NI\nETIRW\n(i) an arrow, labelled V, showing the direction of the velocity of the modelling clay [1]\nTON\n(ii) an arrow, labelled A, showing the direction of the acceleration of the modelling clay. [1]\nOD\n(c) The metal disc in Fig. 1.1 has a radius of 9.3 cm.\nThe centre of gravity of the modelling clay is 1.2 cm from the rim of the disc and moves with a\ns–1. speed of 0.68 m\nNIGRAM\nω of the disc. (i) Calculate the angular speed\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 ω = .............................................. rad [2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:203)(cid:291)(cid:200)(cid:256)(cid:215)\nNIGRAM\n5\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:3)(cid:1)(cid:6)(cid:44)\n(ii) Calculate the acceleration a of the centre of gravity of the modelling clay.\nSIHT\nNI\nETIRW\nTON\nOD\ns–2 a = ................................................ m [2]\nNIGRAM\n(d) A second piece of modelling clay is attached to the disc in the position shown in Fig. 1.2.\nSIHT\nNI\nETIRW\nsecond piece of\nmodelling clay\nTON\nOD\nfirst piece of\nmodelling clay\nNIGRAM\nSIHT\nNI\nETIRW Fig. 1.2\nThe second piece of modelling clay has a larger mass than the first piece. TON\nOD\nBy placing one tick (3) in each row , complete Table 1.1 to show how the quantities indicated\ncompare for the two pieces of modelling clay.\nTable 1.1\nNIGRAM\nless for second piece greater for second piece\nquantity same for both pieces SIHT than first piece than first piece\nNI\nangular speed ETIRW\nTON\nlinear speed\nOD\nacceleration\nNIGRAM\n[3]\n[Total: 10]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:203)(cid:289)(cid:200)(cid:256)(cid:215) [Turn over" }, { "id": "9702-2024-mj-42-q02", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_42.pdf?download=true", "source_pages": [ 6, 7, 8 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_42.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2024-mj-42-q02-p01.png", "9702-topic-15-ideal-gases/assets/9702-2024-mj-42-q02-p02.png", "9702-topic-15-ideal-gases/assets/9702-2024-mj-42-q02-p03.png" ], "answer": { "status": "available", "id": "9702-2024-mj-42-q02", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_42.pdf?download=true", "source_pages": [ 7 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:3)(cid:1)(cid:7)(cid:44)\n2 (a) With reference to thermal energy , state what is meant by two objects being in thermal\nSIHT\nequilibrium.\nNI\nETIRW\n...................................................................................................................................................\nTON ...................................................................................................................................................\nOD\n............................................................................................................................................. [1]\n(b) Two cylinders X and Y each contain a sample of an ideal gas. The samples are in thermal\nequilibrium with each other.\nNIGRAM\nm3 105 and contains 0.740 mol of gas at a pressure of 1.20 × Pa. Y X has a volume of 0.0260\nm3 105 SIHT and contains gas at a pressure of 2.90 × Pa. Data for the two has a volume of 0.0430\ncylinders are shown in Fig. 2.1.\nNI\nETIRW\nX Y\nTON 0.740 mol\n105 105 1.20 × Pa 2.90 × Pa\nOD\nm3 m3 0.0260 0.0430\nFig. 2.1\nNIGRAM\n(i) Show that the temperature of the gas in X is 234 °C.\nSIHT\nNI\nETIRW\nTON\nOD\n[3]\n(ii) Determine the number N of molecules of the gas in Y. Explain your reasoning. NIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nN = ......................................................... [3]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:202)(cid:289)(cid:197)(cid:254)(cid:215)\nNIGRAM\n7\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:3)(cid:1)(cid:8)(cid:44)\n(iii) The gas in X consists of molecules that each have a mass that is four times the mass of\nSIHT\na molecule of the gas in Y.\nNI\nETIRW\nExplain how the root-mean-square (r .m.s.) speed of the molecules in X compares with\nthe r.m.s. speed of the molecules in Y.\nTON\n...........................................................................................................................................\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n...........................................................................................................................................\nSIHT\n..................................................................................................................................... [3]\nNI\nETIRW\n[Total: 10]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:202)(cid:291)(cid:197)(cid:254)(cid:215) [Turn over\nNIGRAM\n8\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)" }, { "id": "9702-2024-mj-42-q03", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_42.pdf?download=true", "source_pages": [ 9 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2024-mj-42-q03-p01.png" ], "answer": { "status": "available", "id": "9702-2024-mj-42-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:3)(cid:1)(cid:10)(cid:44)\n3 (a) State what is meant by the internal energy of a system.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) With reference to molecular kinetic and potential energies, describe and ex plain how the\ninternal energy of the system changes when:\nNIGRAM\n(i) a gas is heated at constant volume so that its temperature increases\nSIHT ...........................................................................................................................................\nNI\n...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\nOD ...........................................................................................................................................\n..................................................................................................................................... [3]\nNIGRAM (ii) a wire is stretched within its elastic limit at constant temperature.\n...........................................................................................................................................\nSIHT\n........................................................................................................................................... NI\nETIRW\n...........................................................................................................................................\nTON\n...........................................................................................................................................\nOD\n..................................................................................................................................... [3]\n[Total: 8]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:204)(cid:291)(cid:197)(cid:256)(cid:215) [Turn over" }, { "id": "9702-2024-mj-42-q04", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2024-mj-42-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2024-mj-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-42-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:3)(cid:2)(cid:1)(cid:44)\n4 A block of mass m oscillates vertically on a spring, as shown in Fig. 4.1.\nSIHT\nNI\nETIRW\nspring\nTON\nOD\nblock\noscillations NIGRAM\nequilibrium position\nSIHT\nFig. 4.1\nNI\nETIRW The acceleration a of the block varies with displacement x from its equilibrium position, as shown\nin Fig. 4.2.\nTON\n2A\nOD\na\nA NIGRAM\nSIHT\nNI 0\nETIRW –3Y –2Y –Y 0 Y 2Y 3Y\nx\nTON\n–A OD\nNIGRAM\n–2A\nFig. 4.2 SIHT\nNI\nThe amplitude of the oscillations is 3Y and the maximum acceleration is 2A.\nETIRW\n(a) Explain how Fig. 4.2 shows that the oscillations of the block are simple harmonic.\nTON\n................................................................................................................................................... OD\n...................................................................................................................................................\n............................................................................................................................................. [2] NIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:201)(cid:289)(cid:199)(cid:254)(cid:215)\nNIGRAM\n11\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:3)(cid:2)(cid:2)(cid:44)\n(b) Deduce expressions, in terms of some or all of m, A and Y, for:\nSIHT\nNI ω of the oscillations (i) the angular frequency\nETIRW\nTON\nOD\nNIGRAM\nω = ......................................................... [1]\nof the oscillations (ii) the maximum speed v SIHT\n0\nNI\nETIRW\nTON\nOD\n= ......................................................... [2] v\n0\nNIGRAM (iii) the energy E of the oscillations.\nSIHT\nNI\nETIRW\nTON\nE = ......................................................... [2]\nOD\n(c) The period of the oscillations is 0.75 s and the value of 3Y is 1.8 cm.\nDetermine an expression for x in terms of time t, where x is in cm and t is in seconds.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nx = ......................................................... [2] OD\n[Total: 9]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:201)(cid:291)(cid:199)(cid:254)(cid:215) [Turn over" }, { "id": "9702-2024-mj-42-q05", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_42.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2024-mj-42-q05-p01.png", "9702-topic-18-electric-fields/assets/9702-2024-mj-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-42-q05", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_42.pdf?download=true", "source_pages": [ 10 ], "marks": 7 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:3)(cid:2)(cid:3)(cid:44)\n5 (a) Define electric potential at a point.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Two isolated charged metal spheres X and Y are near to each other in a vacuum. The centres\nof the spheres are 1.2 m apart, as shown in Fig. 5.1.\nNIGRAM\nX Y\nP SIHT\nx\nNI\nETIRW\n1.2 m TON\nOD\nFig. 5.1 (not to scale)\nPoint P is on the line joining the centres of spheres X and Y and is at a variable distance x\nfrom the centre of X.\nNIGRAM\nFig. 5.2 shows the variation with x of the total electric potential V due to the two spheres.\nSIHT\nNI\nETIRW\nV\nTON\nOD\nNIGRAM\nSIHT\nNI\n0\nETIRW\n0 0.2 0.4 0.6 0.8 1.0 1.2\nx / m\nTON\nOD\nFig. 5.2\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:203)(cid:289)(cid:199)(cid:256)(cid:215)\nNIGRAM\n13\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:2)(cid:4)(cid:44)\nState three conclusions that may be drawn about the spheres from Fig. 5.2. The conclusions\nSIHT\nmay be qualitative or quantitative.\nNI\nETIRW\n1 ................................................................................................................................................\nTON ...................................................................................................................................................\nOD\n2 ................................................................................................................................................\n...................................................................................................................................................\nNIGRAM\n3 ................................................................................................................................................\nSIHT ...................................................................................................................................................\n[3]\nNI\nETIRW\n(c) A proton is held at rest on the line joining the centres of the spheres in (b) at the position\nwhere x = 0.60 m.\nTON\nOD The proton is released.\nDescribe and explain, without calculation, the subseq uent motion of the proton.\nNIGRAM ...................................................................................................................................................\n......................................................................................................" }, { "id": "9702-2024-mj-42-q06", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2024-mj-42-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2024-mj-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-42-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_42.pdf?download=true", "source_pages": [ 11 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:2)(cid:5)(cid:44)\n6 (a) Two capacitors X and Y are connected in series to a power supply of voltage V, as shown in\nSIHT\nFig. 6.1.\nNI\nETIRW V\nTON\nOD\nX Y\nNIGRAM\nFig. 6.1 SIHT\nNI\nand the capacitance of Y is C . The capacitance of X is C\nETIRW X Y\nand C , for the combined capacitance C of the Derive an expression, in terms of C\nX Y T TON\ncapacitors in this circuit.\nExplain your reasoning. OD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\n[3]\n(b) Two capacitors P and Q are connected in parallel to a power supply of voltage V.\nof Q can be varied between 0 and 400μ F. The capacitance of P is 200 μF. The capacitance C\nQ NIGRAM\n= 0, the total energy stored in the capacitors is 2.5 mJ. When C\nQ\n(i) Show that the supply voltage V is 5.0 V. SIHT\nNI\nETIRW\nTON\nOD\n[2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:203)(cid:290)(cid:198)(cid:258)(cid:215)\nNIGRAM\n15\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:2)(cid:6)(cid:44)\n(ii) Calculate the total energy , in mJ, stored in the capacitors when C has its maximum\nSIHT Q\nvalue.\nNI\nETIRW\nTON\nOD\nNIGRAM\ntotal energy = ................................................... mJ [3] SIHT\nNI\n, as (iii) On Fig. 6.2, sketch the variation of the total energy E stored in the capacitors with C\nETIRW Q\nvaries from 0 to 400 μF. C\nQ\nTON\n10.0\nOD\nE / mJ\n7.5\nNIGRAM\nSIHT\n5.0\nNI\nETIRW\nTON\n2.5\nOD\n0\nNIGRAM\n0 100 200 300 400\n/ μF C\nQ\nSIHT\nNI Fig. 6.2\nETIRW\n[2]\nTON\n[Total: 10]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:203)(cid:292)(cid:198)(cid:258)(cid:215) [Turn over" }, { "id": "9702-2024-mj-42-q07", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 14, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_42.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2024-mj-42-q07-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2024-mj-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-42-q07", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_42.pdf?download=true", "source_pages": [ 12 ], "marks": 14 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:2)(cid:7)(cid:44)\n7 (a) State Faraday’s law of electromagnetic induction.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Fig. 7.1 shows a coil at rest in a uniform magnetic field that is parallel to the axis of the coil.\ncoil\nNIGRAM\nSIHT magnetic field\nNI\nETIRW\nV TON\nOD\nFig. 7.1\nThe coil is connected to a centre-zero voltmeter .\nNIGRAM\nThe flux density B of the uniform magnetic field varies with time t as shown in Fig. 7.2.\nSIHT\n8\nNI\nETIRW B / mT\nTON 4\nOD\n0\n0 1 2 3 4 5 6\nNIGRAM\nt / ms\nSIHT\nFig. 7.2\nNI\nETIRW –4 m2. The coil consists of 340 turns, each of cross-sectional area 3.2 × 10\n(i) Calculate the maximum magnetic flux through one turn of the coil. TON\nOD\nNIGRAM\nSIHT\nNI\nmaximum magnetic flux = ................................................... Wb [2]\nETIRW\nTON\n(cid:300)(cid:205)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:201)(cid:290)(cid:198)(cid:260)(cid:215)\nNIGRAM\n17\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:2)(cid:8)(cid:44)\n(ii) Determine the maximum rate of change of magnetic flux linkage in the coil.\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 maximum rate of change of flux linkage = ............................................. Wb [3]\nNIGRAM\ninduced across the coil. (iii) State the maximum electromotive force (e.m.f.) V\n0\nSIHT\nV = ...................................................... V [1]\n0 NI\nETIRW\n(iv) On Fig. 7.3, sketch the variation of the e.m.f. V induced across the coil with t from t = 0 to\nt = 6.0 ms.\nTON\nV OD\n0\nV\nNIGRAM\n0\n0 1 2 3 4 5 6\nt / ms\nSIHT\nNI\n–V\nETIRW 0\nTON Fig. 7.3\n[3]\nOD\n(v) The variation of V with t can be described by\nV = A sin Bt\nNIGRAM\nwhere A and B are constants.\nSIHT\nDetermine the values of A and B. Give units with your answers.\nNI\nETIRW\nTON\nOD\nA = .......................................unit ................\nNIGRAM B = .......................................unit ................\n[3]\nSIHT\n[Total: 14]\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:201)(cid:292)(cid:198)(cid:260)(cid:215) [Turn over" }, { "id": "9702-2024-mj-42-q08", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_42.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-mj-42-q08-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-mj-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-42-q08", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_42.pdf?download=true", "source_pages": [ 13, 14 ], "marks": 12 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:2)(cid:9)(cid:44)\n8 Fig. 8.1 shows part of the emission spectrum of visible radiation emitted by hydrogen gas in a star\nSIHT\nin a distant galaxy.\nNI\nETIRW increasing frequency\nTON\nOD\nNIGRAM Fig. 8.1\n106 s–1. m The galaxy is moving away from the Earth at a speed of 6.2 ×\nSIHT\n(a) (i) Explain how the positions of the lines in the emission spectrum seen by an observer on NI\nETIRW the Earth differ from the positions shown in Fig. 8.1.\n........................................................................................................................................... TON\nOD\n...........................................................................................................................................\n..................................................................................................................................... [2]\nNIGRAM\n(ii) On Fig. 8.1, draw the three lines in possible positions in the spectrum seen by the\nobserver. [2]\nSIHT\n(b) The lines in Fig. 8.1 correspond to electron transitions down to the energy level –3.40 eV.\nNI One of the lines represents emitted radiation of wavelength 488 nm.\nETIRW\n(i) Calculate the energy of a photon of this radiation.\nTON\nOD\nNIGRAM\nSIHT\nphoton energy = ...................................................... J [2]\nNI\nETIRW (ii) Determine the energy , in eV , of the energy level from which the electron transition\noriginates to cause the emission of this radiation.\nTON\nOD\nNIGRAM\nenergy level = .................................................... eV [2] SIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:204)(cid:290)(cid:200)(cid:258)(cid:215)\nNIGRAM\n19\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:2)(cid:10)(cid:44)\n(iii) Determine the wavelength, in nm, of this radiation as detected by the observer on the\nSIHT\nEarth.\nNI\nETIRW\nTON\nOD\nNIGRAM\nwavelength = ................................................... nm [2]\nSIHT\n10–18 s–1. (c) A value for the Hubble constant is 2.3 ×\nNI\nETIRW\nDetermine the distance of the galaxy from the Earth.\nTON\nOD\nNIGRAM\ndistance = ..................................................... m [2]\nSIHT\n[Total: 12] NI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:204)(cid:292)(cid:200)(cid:258)(cid:215) [Turn over" }, { "id": "9702-2024-mj-42-q09", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_42.pdf?download=true", "source_pages": [ 20, 21, 22 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2024-mj-42-q09-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2024-mj-42-q09-p02.png", "9702-topic-23-nuclear-physics/assets/9702-2024-mj-42-q09-p03.png" ], "answer": { "status": "available", "id": "9702-2024-mj-42-q09", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_42.pdf?download=true", "source_pages": [ 15 ], "marks": 13 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:3)(cid:1)(cid:44)\n9 (a) State what is meant by the binding energy of a nucleus.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n212 Po) nucleus. (b) Table 9.1 shows the masses of two sub-atomic particles and a polonium-212 (\n84\nTable 9.1\nNIGRAM\nmass / u\nSIHT\nproton 1.007 276\nNI\nETIRW\nneutron 1.008 665\nTON\npolonium-212 nucleus 211.942 749\nOD\nFor the polonium-212 nucleus, determine:\n(i) the mass defect Δm, in kg\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nΔm = .................................................... kg [3]\n(ii) the binding energy\nNIGRAM\nSIHT\nNI\nETIRW\nbinding energy = ...................................................... J [2]\nTON\nOD (iii) the binding energy per nucleon.\nNIGRAM\nSIHT\nNI binding energy per nucleon = ...................................................... J [1]\nETIRW\nTON\n(cid:300)(cid:205)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:202)(cid:290)(cid:200)(cid:260)(cid:215)\nNIGRAM\n21\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:3)(cid:2)(cid:44)\n(c) (i) On Fig. 9.1, sketch the variation with nucleon number A of binding energy per nucleon\nSIHT\nfor values of A from 1 to 250.\nNI\nETIRW\nTON binding energy\nper nucleon\nOD\nNIGRAM\n0\n1 250 SIHT\nA\nNI\nETIRW\nFig. 9.1\n[2]\nTON\nOD (ii) On your line in Fig. 9.1, draw an X to show the approximate position of polonium-212.\n[1]\n(iii) Polonium-212 is radioactive and undergoes alpha-decay.\nNIGRAM\nSuggest and explain, with reference to Fig. 9.1, why the alpha-decay of polonium-212\nresults in a release of energy.\nSIHT\n........................................................................................................................................... NI\nETIRW\n...........................................................................................................................................\nTON\n..................................................................................................................................... [2]\nOD\n[Total: 13]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:202)(cid:292)(cid:200)(cid:260)(cid:215) [Turn over\nNIGRAM\n22\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:3)(cid:3)(cid:44)\nBLANK PAGE\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nO" }, { "id": "9702-2024-mj-42-q10", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_42.pdf?download=true", "source_pages": [ 23, 24 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2024-mj-42-q10-p01.png", "9702-topic-24-medical-physics/assets/9702-2024-mj-42-q10-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-42-q10", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_42.pdf?download=true", "source_pages": [ 16 ], "marks": 7 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:3)(cid:4)(cid:44)\n10 (a) Describe how reflected ultrasound pulses may be used to obtain diagnostic information about\nSIHT\ninternal structures.\nNI\nETIRW\n...................................................................................................................................................\nTON ...................................................................................................................................................\nOD\n...................................................................................................................................................\n............................................................................................................................................. [2]\nNIGRAM\n(b) (i) Define specific acoustic impedance of a medium.\nSIHT ...........................................................................................................................................\nNI\n...........................................................................................................................................\nETIRW\n..................................................................................................................................... [2]\nTON\nOD (ii) Table 10.1 shows some data for water and for glass.\nTable 10.1\nNIGRAM\nm–3 s–1 density / kg speed of sound / m\nwater 1000 1420 SIHT\nNI glass 2500 4560\nETIRW\nDetermine the intensity reflection coef ficient for ultrasound that is incident on a TON\nwater–glass boundary.\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nintensity reflection coefficient = ......................................................... [3]\nOD\n[Total: 7]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:265)(cid:191)(cid:288)(cid:179)(cid:237)(cid:197)(cid:247)(cid:233)(cid:241)(cid:181)(cid:290)(cid:203)(cid:290)(cid:197)(cid:258)(cid:215)\nNIGRAM\n24\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:3)(cid:4)(cid:3)(cid:5)(cid:44)\nBLANK PAGE\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nSIHT\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nNI Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series. ETIRW\nCambridge Assessment International Edu" }, { "id": "9702-2024-mj-43-q01", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_43.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_43.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2024-mj-43-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2024-mj-43-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-43-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_43.pdf?download=true", "source_pages": [ 6 ], "marks": 10 }, "text_excerpt": "Define gravitational potential at a point. 1 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA satellite X, of mass M, orbits a planet at a constant distance 4R from the centre of the (b)\nplanet, as shown in Fig. 1.1.\nplanet\norbit of Y\nsatellite X,\nmass M\nR 4R\nsatellite Y,\nmass 2M\norbit of X\n(not to scale) Fig. 1.1\nA second satellite Y, of mass 2M, orbits the planet with orbital radius R.\n–Φ. The planet is a uniform sphere. The gravitational potential at X due to the planet is\nExplain why the gravitational potential at X is negative. (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nΦ, for the gravitational potential at Y due to the planet. State an expression, in terms of (ii)\ngravitational potential = ......................................................... [2]\n© UCLES 2024 9702/43/M/J/24\n5\nΦ, Complete Table 1.1 by giving expressions, in terms of some or all of M, R and for the (iii)\nquantities indicated for each of the satellites X and Y.\nTable 1.1\nsatellite X satellite Y\ngravitational field strength\nat satellite due to planet\ngravitational potential\nenergy of satellite\n[4]\n[Total: 10]\n[Turn over © UCLES 2024 9702/43/M/J/24" }, { "id": "9702-2024-mj-43-q02", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 2, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_43.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_43.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2024-mj-43-q02-p01.png", "9702-topic-14-temperature/assets/9702-2024-mj-43-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-43-q02", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_43.pdf?download=true", "source_pages": [ 7 ], "marks": 7 }, "text_excerpt": "State the magnitude and unit of absolute zero on the thermodynamic temperature scale. 2 (a) (i)\n..................................................................................................................................... [1]\nExplain why temperature measured using a laboratory liquid-in-glass thermometer does (ii)\ngive a measurement of thermodynamic temperature. not\n...........................................................................................................................................\n..................................................................................................................................... [1]\nFig. 2.1 shows a simplified diagram of a type of thermometer called a platinum resistance (b)\nthermometer.\nplastic strip platinum wire\nX\nY\nlarge glass tube\nFig. 2.1\nThe glass tube is immersed in the environment for which the temperature is to be determined.\nThe resistance between the terminals X and Y is measured.\nρ of platinum with thermodynamic temperature T. Fig. 2.2 shows the variation of the resistivity\nρ\n0\nT\nFig. 2.2\n© UCLES 2024 9702/43/M/J/24\n7\nExplain how Fig. 2.2 shows that platinum is a suitable metal for use in a resistance (i)\nthermometer.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nSuggest a reason why a platinum resistance thermometer is suitable for measuring (ii) not\na rapidly changing temperature.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [1]\nSuggest a type of thermometer that is suitable for measuring a rapidly changing (iii)\ntemperature.\n..................................................................................................................................... [1]\nA negative temperature coefficient thermistor may be used as a type of resistance (c)\nthermometer.\nState way in which the variation with temperature of the resistance of a thermistor differs one\nfrom that of a platinum wire.\n...................................................................................................................................................\n............................................................................................................................................. [1]\n[Total: 7]\n[Turn over © UCLES 2024 9702/43/M/J/24" }, { "id": "9702-2024-mj-43-q03", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_43.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_43.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2024-mj-43-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2024-mj-43-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-43-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_43.pdf?download=true", "source_pages": [ 8 ], "marks": 12 }, "text_excerpt": "State what is meant by an ideal gas. 3 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nUse one of the basic assumptions of the kinetic theory to explain what can be deduced (ii)\nabout the potential energy associated with the random motion of molecules in an ideal\ngas.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\n3 105 × of an ideal gas is at pressure 2.0 Pa and temperature 290 K. A sample of 0.26 m (b)\nDetermine:\nthe number N of molecules of the gas (i)\nN = ......................................................... [2]\nof one molecule of the gas the average translational kinetic energy E (ii)\nK\nE = ...................................................... J [2]\nK\nthe internal energy of the gas. Explain your reasoning. (iii)\ninternal energy = ...................................................... J [2]\n© UCLES 2024 9702/43/M/J/24\n9\nThe volume V of the gas in is now varied, keeping its pressure constant. (c) (b)\nOn Fig. 3.1, sketch the variation with V of the internal energy U of the gas.\nU\n0\n0\nV\nFig. 3.1\n[2]\n[Total: 12]\n[Turn over © UCLES 2024 9702/43/M/J/24" }, { "id": "9702-2024-mj-43-q04", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_43.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_43.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2024-mj-43-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2024-mj-43-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-43-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_43.pdf?download=true", "source_pages": [ 9 ], "marks": 8 }, "text_excerpt": "State what is meant by resonance. 4 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nA small ball is held in place using a stretched string. One end of the string is fixed to a wall (b)\nand the other end is attached to a vibration generator, as shown in Fig. 4.1.\nball\nwall\nvibration\ngenerator\nstring\nFig. 4.1\nInitially, the vibration generator is switched off.\nA student displaces the ball vertically and then releases it. Fig. 4.2 shows the variation of the\ndisplacement of the ball with time after it is released.\ndisplacement\n0\n0 0.6 0.1 0.2 0.3 0.4 0.5\ntime / s\nFig. 4.2\n© UCLES 2024 9702/43/M/J/24\n11\nState the name of the phenomenon illustrated by the decrease in the amplitude of the (i)\noscillations in Fig. 4.2.\n..................................................................................................................................... [1]\nExplain the decrease with time of the amplitude of the oscillations of the ball. (ii)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nDetermine the frequency of the oscillations of the ball. (iii)\nfrequency = .................................................... Hz [1]\nThe vibration generator in is switched on and its frequency f of vibration is gradually (c) (b)\nincreased from 0 to 10 Hz.\nOn Fig. 4.3, sketch the variation with f of the amplitude of the oscillations of the ball.\namplitude\n0\n7.5 10.0 0 2.5 5.0\n/ Hz f\nFig. 4.3\n[2]\n[Total: 8]\n[Turn over © UCLES 2024 9702/43/M/J/24" }, { "id": "9702-2024-mj-43-q05", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 5, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_43.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2024-mj-43-q05-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2024-mj-43-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-43-q05", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_43.pdf?download=true", "source_pages": [ 10 ], "marks": 13 }, "text_excerpt": "Define electric field. 5 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nFig. 5.1 shows two parallel conducting plates that are in a vacuum. The plates are separated (b)\nby a distance of 6.7 cm and have a potential difference (p.d.) of 430 V between them.\n+430 V\nconducting plate\nelectron, speed\n6.7 cm\n107 s–1 × m 2.6\nconducting plate\n0 V\nFig. 5.1\nOn Fig. 5.1, draw four field lines to represent the electric field between the plates. [2] (i)\nDetermine the strength E of the electric field between the plates. (ii)\nC–1 [2] E = ............................................... N\n107 s–1 × m towards the region between the plates, An electron travels at a speed of 2.6 (iii)\nas shown in Fig. 5.1.\nOn Fig. 5.1, draw the path of the electron as it moves between and beyond the plates. [2]\n© UCLES 2024 9702/43/M/J/24\n13\nA uniform magnetic field is now applied in the region of the electric field in Fig. 5.1, so that the (c)\nelectron in travels undeviated through the region. (b)(iii)\nDetermine the direction of the uniform magnetic field. (i)\n..................................................................................................................................... [1]\nExplain, with reference to the forces exerted by the two fields on the electron, why the (ii)\npath of the electron is undeviated.\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nDetermine the flux density B of the uniform magnetic field. Give a unit with your answer. (iii)\nB = ................................. unit ............... [2]\n[Total: 13]\n[Turn over © UCLES 2024 9702/43/M/J/24" }, { "id": "9702-2024-mj-43-q06", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_43.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_43.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2024-mj-43-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2024-mj-43-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-43-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_43.pdf?download=true", "source_pages": [ 11 ], "marks": 10 }, "text_excerpt": "Fig. 6.1 shows a capacitor of capacitance C connected in series with a resistor of resistance R. 6\nC\nR\nFig. 6.1\nInitially the switch is open and there is a p.d. of 12 V across the capacitor.\nI At time t = 0, the switch is closed so that there is a current in the resistor.\nI Fig. 6.2 shows the variation of with t.\n0.2\nI / mA\n0.1\n0\n0 2 4 6 8\n/ s t\nFig. 6.2\nExplain the shape of the line in Fig. 6.2. (a)\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n© UCLES 2024 9702/43/M/J/24\n15\nUse Fig. 6.2 to determine: (b)\nresistance R (i)\nΩ R = ..................................................... [2]\nτ of the circuit in Fig. 6.1. the time constant (ii)\nτ = ...................................................... s [3]\nUse your answers in to determine capacitance C. (c) (b)\nC = ...................................................... F [2]\n[Total: 10]\n[Turn over © UCLES 2024 9702/43/M/J/24" }, { "id": "9702-2024-mj-43-q07", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 7, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_43.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_43.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2024-mj-43-q07-p01.png", "9702-topic-14-temperature/assets/9702-2024-mj-43-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-43-q07", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_43.pdf?download=true", "source_pages": [ 12 ], "marks": 10 }, "text_excerpt": "A circuit contains a power supply that provides a sinusoidal alternating input voltage V . There is 7\nIN\nacross a load resistor R, as shown in Fig. 7.1. an output voltage V\nOUT\nV\nIN\nV R\nOUT\nFig. 7.1\nState the purpose of the circuit in Fig. 7.1. (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nwith time t. Fig. 7.2 shows the variation of V (b)\nOUT\n10\n/ V V\nOUT\n5\n0\n0 0.02 0.04 0.06 0.08\nt / s\nFig. 7.2\n© UCLES 2024 9702/43/M/J/24\n17\nΩ. The load resistor R has a resistance of 370 (i)\nShow that the maximum power dissipated in R is 0.22 W.\n[2]\nOn Fig. 7.3, sketch the variation with t of the power P dissipated in R. (ii)\n0.4\n/ W P\n0.2\n0\n0 0.02 0.04 0.06 0.08\nt / s\nFig. 7.3\n[3]\nCalculate the mean power dissipated in R. (iii)\nmean power = ..................................................... W [1]\nThe circuit of Fig. 7.1 is disconnected, and R is connected directly across the power supply. (c)\nExplain, without calculation, how the mean power now dissipated in R compares with the\nanswer in (b)(iii).\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\n[Total: 10]\n[Turn over © UCLES 2024 9702/43/M/J/24" }, { "id": "9702-2024-mj-43-q08", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 8, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_43.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_43.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2024-mj-43-q08-p01.png", "9702-topic-24-medical-physics/assets/9702-2024-mj-43-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-43-q08", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_43.pdf?download=true", "source_pages": [ 13 ], "marks": 13 }, "text_excerpt": "State what is meant by a photon. 8 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [2]\nFig. 8.1 shows a tube in which X-rays are produced at a metal target. (b)\nX Y\nparticles\nfilament\nvacuum glass tube\nmetal target\nFig. 8.1\nParticles are accelerated from the filament to the target by a constant high voltage applied\nacross the terminals X and Y.\nState the name of the particles. (i)\n..................................................................................................................................... [1]\nOn Fig. 8.1, use + and – signs to label terminals X and Y to indicate the polarity of the (ii)\nhigh voltage. [1]\n© UCLES 2024 9702/43/M/J/24\n19\nFor an accelerating voltage of 32 kV in Fig. 8.1, determine: (c)\nthe maximum energy, in MeV, of an X-ray photon produced at the target (i)\nmaximum photon energy = ................................................. MeV [1]\nthe maximum momentum of an X-ray photon produced at the target (ii)\nmaximum photon momentum = ................................................... N s [2]\nthe minimum wavelength of X-rays produced at the target. (iii)\nminimum wavelength = ..................................................... m [3]\nExplain why X-rays can be used to produce images of internal body structures that have (d)\ngood contrast.\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [3]\n[Total: 13]\n[Turn over © UCLES 2024 9702/43/M/J/24" }, { "id": "9702-2024-mj-43-q09", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 9, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_43.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_43.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2024-mj-43-q09-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2024-mj-43-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2024-mj-43-q09", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_43.pdf?download=true", "source_pages": [ 14 ], "marks": 8 }, "text_excerpt": "Define half-life of a radioactive isotope. 9 (a)\n...................................................................................................................................................\n...................................................................................................................................................\n............................................................................................................................................. [1]\nRadioactive isotope X decays to isotope Y. (b)\nA sample contains only nuclei of X at time t = 0. Fig. 9.1 shows the variation with t of the\nnumbers of nuclei of X and of Y as the sample decays.\n4\nY\nnumber of\n1022 nuclei /\n3\n2\n1\nX\n0\n0 10 20 30 40 50 60\nt / s\nFig. 9.1\nState the name of the quantity represented by the magnitude of the gradient of line X in (i)\nFig. 9.1.\n..................................................................................................................................... [1]\n© UCLES 2024 9702/43/M/J/24\n21\nState conclusions about X or Y that may be drawn from Fig. 9.1. The conclusions (ii) three\nmay be qualitative or quantitative. Use the space below for any working that you need.\n1 ........................................................................................................................................\n...........................................................................................................................................\n2 ........................................................................................................................................\n...........................................................................................................................................\n3 ........................................................................................................................................\n...........................................................................................................................................\n[3]\n–4 × kg at time t = 0. The mass of radioactive isotope X in the sample in is 7.3 10 (c) (b)\nDetermine the nucleon number of isotope X.\nnucleon number = ......................................................... [3]\n[Total: 8]\n[Turn over © UCLES 2024 9702/43/M/J/24" }, { "id": "9702-2024-mj-43-q10", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_43.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_43.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-mj-43-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-mj-43-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-mj-43-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2024-mj-43-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_43.pdf?download=true", "source_pages": [ 15 ], "marks": 9 }, "text_excerpt": "State what is meant by the luminosity of a star. 10 (a) (i)\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [2]\nExplain how a standard candle in a distant galaxy can be used to determine the distance (ii)\nof the galaxy from an observer.\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n...........................................................................................................................................\n..................................................................................................................................... [3]\n8 × m and a surface temperature of 5780 K. The Sun has a radius of 6.96 10 (b)\nLight from the Sun is observed to have a peak intensity at a wavelength of 501 nm.\nCalculate the luminosity of the Sun. Give a unit with your answer. (i)\nluminosity = ................................. unit ............... [2]\nAnother star emits radiation that has a peak intensity at a wavelength of 624 nm. (ii)\nDetermine the surface temperature of this star.\nsurface temperature = .......................................................K [2]\n[Total: 9]\n© UCLES 2024 9702/43/M/J/24\n23\nBLANK PAGE\n© UCLES 2024 9702/43/M/J/24\n24\nBLANK PAGE\nPermission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every\nreasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the\npublisher will be pleased to make amends at the earliest possible opportunity.\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download\nat www.cambridgeinternational.org after the live examination series.\nCambridge Assessment International Education is part of Cambridge Assessment. Cambridge Assessment is the brand name of the University of Cambridge\nLocal Examinations Syndicate (UCLES), which is a department of the University of Cambridge.\n© UCLES 2024 9702/43/M/J/24" }, { "id": "9702-2024-mj-51-q01", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "51", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_51.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-mj-51-q01-p01.png", "9702-practical-skills/assets/9702-2024-mj-51-q01-p02.png", "9702-practical-skills/assets/9702-2024-mj-51-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2024-mj-51-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_51.pdf?download=true", "source_pages": [ 5, 6 ], "marks": 15 }, "text_excerpt": "Fig. 1.1 shows a small solid metal cylinder of mass m, length L and diameter d. 1\nL\nd\nFig. 1.1\nThe cylinder is heated to a uniform temperature. The cylinder is then removed from the heat\nsource and the cylinder is wrapped in an insulating material.\n. At time t after the cylinder starts to cool, the surface temperature The temperature of the room is T\nR\n. of the cylinder is T\nC\nis related to t by the relationship It is suggested that T\nC\nUAt\n–\nmc – T ) = Ze (T\nC R\nwhere A is the total surface area of the cylinder, c is the specific heat capacity of the metal, and U\nand Z are constants.\nand t. Plan a laboratory experiment to test the relationship between T\nC\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for U and Z.\nIn your plan you should include:\n• the procedure to be followed\n• the measurements to be taken\n• the control of variables\n• the analysis of the data\n• any safety precautions to be taken.\n© UCLES 2024 9702/51/M/J/24\n3\nDiagram\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n........................................................................................................................." }, { "id": "9702-2024-mj-51-q02", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "51", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_51.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-mj-51-q02-p01.png", "9702-practical-skills/assets/9702-2024-mj-51-q02-p02.png", "9702-practical-skills/assets/9702-2024-mj-51-q02-p03.png", "9702-practical-skills/assets/9702-2024-mj-51-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2024-mj-51-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_51.pdf?download=true", "source_pages": [ 6, 7, 8, 9 ], "marks": 15 }, "text_excerpt": "A student investigates the sound from a horn attached to a car, as shown in Fig. 2.1. 2\nv\nhorn\nFrequency:\n894.2 Hz\n(not to scale) Fig. 2.1\nA microphone is placed at the side of the road and connected to a frequency meter. The car\ntravels towards the microphone. The frequency f of the sound detected by the microphone is read\nfrom the frequency meter.\nThe speed of the car is measured by two speed detectors. The two measurements of speed are v\n1\n. The average speed v of the car is determined from v and v . and v\n2 1 2\nThe experiment is repeated for different speeds of the car.\nIt is suggested that f and v are related by the equation\nf k\ns\nf =\n– v k\nwhere f is the frequency of the sound emitted by the horn and k is a constant.\ns\n1\nA graph is plotted of on the y-axis against v on the x-axis. (a)\nf\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2024 9702/51/M/J/24\n6\nValues of v , v and f are given in Table 2.1. (b)\n1 2\nTable 2.1\n1\ns–1 s–1 s–1 –3 Hz–1 v / m v / m v / m f / Hz / 10\n1 2 f\n3.1 3.9 894.2\n6.7 5.9 901.2\n9.2 8.2 908.0\n11.9 10.9 915.8\n13.3 14.5 923.6\n15.6 16.8 931.2\n1\n–1 10–3 Hz–1 / and in Table 2.1. Calculate and record values of v / m s\nf\nInclude the absolute uncertainties in v. [2]\n1\n10–3 Hz–1 s–1. / against v / m Include error bars for v. [2] Plot a graph of (c) (i)\nf\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2024 9702/51/M/J/24\n7\n1.125\n1.120\n1\n/10–3 –1 Hz\nf\n1.115\n1.110\n1.105\n1.100\n1.095\n1.090\n1.085\n1.080\n1.075\n1.070\n3.0 5.0 7.0 9.0 11.0 13.0 15.0 17.0\ns–1 v / m\n[Turn over © UCLES 2024 9702/51/M/J/24\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nand k. Include Using your answers to (a), and (c)(iv), determine the values of f (d) (i) (c)(iii)\ns\nappropriate units.\n= ............................................................... f\ns\nk = ...............................................................\n[2]\nDetermine the percentage uncertainty in k. (ii)\npercentage uncertainty in k = ...................................................... % [1]\nThe experiment is repeated. Determine the speed v that gives a value of f of 987.8 Hz. (e)\n–1 [1] v = ................................................ m s\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is fr" }, { "id": "9702-2024-mj-52-q01", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-mj-52-q01-p01.png", "9702-practical-skills/assets/9702-2024-mj-52-q01-p02.png", "9702-practical-skills/assets/9702-2024-mj-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2024-mj-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_52.pdf?download=true", "source_pages": [ 5, 6, 7 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:5)(cid:4)(cid:1)(cid:3)(cid:44)\n1 A spring is attached to a strong cylindrical magnet of length L and cross-sectional area A. The\nSIHT\nmagnet is placed on thin card on top of a magnetic sheet on the bench, as shown in Fig. 1.1.\nNI\nETIRW\nTON\nspring\nOD\ncylindrical magnet\nNIGRAM\nmagnetic sheet\ncard\nSIHT\nbench\nt\nNI\nETIRW\nFig. 1.1\nTON\nOD The thickness of the card is t. The magnetic flux density at one of the poles of the magnet is B.\nA force is applied upwards to the spring. The extension of the spring when the magnet just leaves\nthe card is s.\nNIGRAM\nIt is suggested that s is related to t by the relationship\nSIHT\nALBZ\nks =\nt\nNI\nETIRW\nwhere k is the spring constant of the spring and Z is a constant.\nTON\nPlan a laboratory experiment to test the relationship between s and t.\nOD\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine a value for Z.\nNIGRAM\nIn your plan you should include:\n● SIHT the procedure to be followed\nNI\n● the measurements to be taken\nETIRW\n● the control of variables\nTON\n● the analysis of the data\nOD\n● any safety precautions to be taken.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:250)(cid:190)(cid:288)(cid:179)(cid:237)(cid:201)(cid:241)(cid:217)(cid:249)(cid:229)(cid:258)(cid:234)(cid:254)(cid:232)(cid:238)(cid:215)\nNIGRAM\n3\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:5)(cid:4)(cid:1)(cid:4)(cid:44)\nDiagram\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW ..........................................................................................................................................................\n.......................................................................................................................................................... TON\nOD\n..........................................................................................................................................................\n..........................................................................................................................................................\nNIGRAM\n..........................................................................................................................................................\n..........................................................................................................................................................\nSIHT\nNI ..........................................................................................................................................................\nETIRW\n..........................................................................................................................................................\nTON\n..........................................................................................................................................." }, { "id": "9702-2024-mj-52-q02", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-mj-52-q02-p01.png", "9702-practical-skills/assets/9702-2024-mj-52-q02-p02.png", "9702-practical-skills/assets/9702-2024-mj-52-q02-p03.png", "9702-practical-skills/assets/9702-2024-mj-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2024-mj-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_52.pdf?download=true", "source_pages": [ 8, 9, 10 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:5)(cid:5)(cid:1)(cid:6)(cid:44)\n2 A student investigates the resonant frequency of a m etal rod. The metal rod of length L is\nSIHT\nsuspended from two rubber loops. A sensitive microphone with a cone is positioned at one end of\nNI the rod. The microphone is attached to an oscilloscope, as shown in Fig. 2.1.\nETIRW\ncone\nrubber loop TON microphone\nOD\nto oscilloscope\nrod hammer NIGRAM\nstand\nSIHT bench\nNI\nETIRW\nFig. 2.1 (not to scale)\nTON\nThe rod is hit gently with a hammer. OD\nThe period T of the trace produced on the oscilloscope is determined.\nThe experiment is repeated for different values of L. NIGRAM\nIt is suggested that T and L are related by the equation\nSIHT\n2Ln\nT = NI\nC\nETIRW\nwhere C and n are constants.\nTON\n(a) A graph is plotted of lg T on the y-axis against lg L on the x-axis.\nOD\nDetermine expressions for the gradient and y-intercept.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\ngradient = ............................................................... OD\ny-intercept = ...............................................................\n[1]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:249)(cid:191)(cid:288)(cid:179)(cid:237)(cid:201)(cid:241)(cid:217)(cid:249)(cid:229)(cid:258)(cid:235)(cid:254)(cid:232)(cid:240)(cid:215) [Turn over\nNIGRAM\n6\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:5)(cid:5)(cid:1)(cid:7)(cid:44)\n(b) Values of L and T are given in Table 2.1.\nSIHT\nNI Table 2.1\nETIRW\nTON 10–5 10–5 L / cm T / s lg (L / cm) lg (T / s)\nOD\n54 24 ± 1\nNIGRAM\n70 32 ± 1\nSIHT\n86 39 ± 1\nNI\nETIRW\n108 49 ± 2\nTON\nOD\n140 64 ± 2\n167 74 ± 2\nNIGRAM\n10–5 s) in Table 2.1. Calculate and record values of lg (L / cm)a nd lg (T /\nSIHT\nInclude the absolute uncertainties in lg T. [2]\nNI\nETIRW 10–5 s) against lg (L/cm). Include error bars for lgT . [2] (c) (i) Plot a graph of lg (T /\nTON (ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Label\nboth lines. [2]\nOD\n(iii) Determine the gradient of the line of best fit. Include the absolute uncertainty in your\nanswer.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ngradient = ......................................................... [2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:249)(cid:191)(cid:288)(cid:179)(cid:237)(cid:201)(cid:241)(cid:217)(cid:249)(cid:229)(cid:258)(cid:234)(cid:254)(cid:229)(cid:238)(cid:215)\nNIGRAM\n7\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:5)(cid:5)(cid:5)(cid:1)(cid:8)(cid:44)\n1.90\nSIHT\nNI\nETIRW\n1.85\nTON\nOD\n1.80\nNIGRAM\n10–5 (T / s) lg\nSIHT 1.75\nNI\nETIRW\nTON 1.70\nOD\n1.65\nNIGRAM\nSIHT\n1.60\nNI\nETIRW\nTON\n1.55\nOD\n1.50\nNIGRAM\nSIHT\n1.45\nNI\nETIRW\nTON\n1.40\nOD\n1.35 NIGRAM\n1.8 1.9 2.0 1.7 2.1 2.2 2.3\n(L / cm) lg\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:249)(cid:191)(cid:288)(cid:179)(cid:237)(cid:201)(cid:241)(cid:217)(cid:249)(cid:229)(cid:258)(cid:234)(cid:256)(cid:229)(cid:238)(cid:215) [Turn over\nNIGRAM\n8\n(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid" }, { "id": "9702-2024-mj-53-q01", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "53", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_53.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-mj-53-q01-p01.png", "9702-practical-skills/assets/9702-2024-mj-53-q01-p02.png", "9702-practical-skills/assets/9702-2024-mj-53-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2024-mj-53-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_53.pdf?download=true", "source_pages": [ 5, 6 ], "marks": 15 }, "text_excerpt": "Fig. 1.1 shows a small solid metal cylinder of mass m, length L and diameter d. 1\nL\nd\nFig. 1.1\nThe cylinder is heated to a uniform temperature. The cylinder is then removed from the heat\nsource and the cylinder is wrapped in an insulating material.\n. At time t after the cylinder starts to cool, the surface temperature The temperature of the room is T\nR\n. of the cylinder is T\nC\nis related to t by the relationship It is suggested that T\nC\nUAt\n–\nmc – T ) = Ze (T\nC R\nwhere A is the total surface area of the cylinder, c is the specific heat capacity of the metal, and U\nand Z are constants.\nand t. Plan a laboratory experiment to test the relationship between T\nC\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for U and Z.\nIn your plan you should include:\n• the procedure to be followed\n• the measurements to be taken\n• the control of variables\n• the analysis of the data\n• any safety precautions to be taken.\n© UCLES 2024 9702/53/M/J/24\n3\nDiagram\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n..........................................................................................................................................................\n........................................................................................................................." }, { "id": "9702-2024-mj-53-q02", "subject": "9702", "year": 2024, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "53", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_qp_53.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2024-May-June/qp/9702_s24_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-mj-53-q02-p01.png", "9702-practical-skills/assets/9702-2024-mj-53-q02-p02.png", "9702-practical-skills/assets/9702-2024-mj-53-q02-p03.png", "9702-practical-skills/assets/9702-2024-mj-53-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2024-mj-53-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-May-June/ms/9702_s24_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-May-June/9702_s24_ms_53.pdf?download=true", "source_pages": [ 6, 7, 8, 9 ], "marks": 15 }, "text_excerpt": "A student investigates the sound from a horn attached to a car, as shown in Fig. 2.1. 2\nv\nhorn\nFrequency:\n894.2 Hz\n(not to scale) Fig. 2.1\nA microphone is placed at the side of the road and connected to a frequency meter. The car\ntravels towards the microphone. The frequency f of the sound detected by the microphone is read\nfrom the frequency meter.\nThe speed of the car is measured by two speed detectors. The two measurements of speed are v\n1\n. The average speed v of the car is determined from v and v . and v\n2 1 2\nThe experiment is repeated for different speeds of the car.\nIt is suggested that f and v are related by the equation\nf k\ns\nf =\n– v k\nwhere f is the frequency of the sound emitted by the horn and k is a constant.\ns\n1\nA graph is plotted of on the y-axis against v on the x-axis. (a)\nf\nDetermine expressions for the gradient and y-intercept.\ngradient = ...............................................................\ny-intercept = ...............................................................\n[1]\n[Turn over © UCLES 2024 9702/53/M/J/24\n6\nValues of v , v and f are given in Table 2.1. (b)\n1 2\nTable 2.1\n1\ns–1 s–1 s–1 –3 Hz–1 v / m v / m v / m f / Hz / 10\n1 2 f\n3.1 3.9 894.2\n6.7 5.9 901.2\n9.2 8.2 908.0\n11.9 10.9 915.8\n13.3 14.5 923.6\n15.6 16.8 931.2\n1\n–1 10–3 Hz–1 / and in Table 2.1. Calculate and record values of v / m s\nf\nInclude the absolute uncertainties in v. [2]\n1\n10–3 Hz–1 s–1. / against v / m Include error bars for v. [2] Plot a graph of (c) (i)\nf\nDraw the straight line of best fit and a worst acceptable straight line on your graph. Label (ii)\nboth lines. [2]\nDetermine the gradient of the line of best fit. Include the absolute uncertainty in your (iii)\nanswer.\ngradient = ......................................................... [2]\n© UCLES 2024 9702/53/M/J/24\n7\n1.125\n1.120\n1\n/10–3 –1 Hz\nf\n1.115\n1.110\n1.105\n1.100\n1.095\n1.090\n1.085\n1.080\n1.075\n1.070\n3.0 5.0 7.0 9.0 11.0 13.0 15.0 17.0\ns–1 v / m\n[Turn over © UCLES 2024 9702/53/M/J/24\n8\nDetermine the y-intercept of the line of best fit. Include the absolute uncertainty in your (iv)\nanswer.\ny-intercept = ......................................................... [2]\nand k. Include Using your answers to (a), and (c)(iv), determine the values of f (d) (i) (c)(iii)\ns\nappropriate units.\n= ............................................................... f\ns\nk = ...............................................................\n[2]\nDetermine the percentage uncertainty in k. (ii)\npercentage uncertainty in k = ...................................................... % [1]\nThe experiment is repeated. Determine the speed v that gives a value of f of 987.8 Hz. (e)\n–1 [1] v = ................................................ m s\n[Total: 15]\nTo avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge\nAssessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is fr" }, { "id": "9702-2024-on-41-q01", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_41.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_41.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2024-on-41-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2024-on-41-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-41-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_41.pdf?download=true", "source_pages": [ 6 ], "marks": 12 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:5)(cid:44)\n1 (a) State Newton’s law of gravitation.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A planet may be considered as a uniform sphere.\nA satellite is in circular orbit of period T around the planet at a height h above the surface.\nNIGRAM\nThe height of the orbit can be adjusted by use of the satellite’ s rocket engines.\n2\n. Fig. 1.1 shows the variation with h of T SIHT 3\nNI\n1600\nETIRW\nTON\nOD\n1200\n2 2\nT /s\n3 3\nNIGRAM\n800\nSIHT\nNI\n400 ETIRW\nTON\nOD\n0\n0 2 4 6 8 10 12\n106 / m h\nNIGRAM\nFig. 1.1\nSIHT\n(i) By reference to forces, explain why the orbit of the satellite is circular.\nNI\n........................................................................................................................................... ETIRW\n........................................................................................................................................... TON\nOD\n..................................................................................................................................... [2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:252)(cid:184)(cid:256)(cid:215)\n© UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:286)(cid:251)(cid:208)(cid:286)(cid:244)(cid:244)(cid:225)(cid:257)(cid:267)(cid:269)(cid:215)(cid:187)(cid:188)(cid:210)(cid:284)(cid:258) OD\n(cid:293)(cid:181)(cid:181)(cid:213)(cid:181)(cid:277)(cid:261)(cid:245)(cid:261)(cid:261)(cid:229)(cid:261)(cid:197)(cid:213)(cid:229)(cid:213)(cid:261)(cid:213)\nNIGRAM\n5\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n(ii) Use Newton’s law of gravitation to show that h and T are related by\nSIHT\nGA\nB)3 2 NI = T (h +\n4π2\nETIRW\nwhere G is the gravitational constant and A and B are constants that depend on the\nTON properties of the planet.\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\n[3]\n(iii) Use the gradient and intercept of the line in Fig. 1.1 to determine values for A and B.\nGive units with your answers.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nA = ....................................... unit ..................\nNI\nETIRW\nB = ....................................... unit ..................\n[5]\nTON\nOD [Total: 12]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:184)(cid:256)(cid:215) [Turn over © U" }, { "id": "9702-2024-on-41-q02", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 2, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_41.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_41.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2024-on-41-q02-p01.png", "9702-topic-14-temperature/assets/9702-2024-on-41-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-41-q02", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_41.pdf?download=true", "source_pages": [ 7 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n2 (a) Define specific heat capacity.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Two solid blocks X and Y are made from dif ferent metals. The blocks have dif ferent initial\ntemperatures. Block Y is initially at room temperature.\nNIGRAM\nThe blocks are placed in direct thermal contact with each other at time t = 0. Fig. 2.1 shows\nthe variation with t of the temperatures of the two blocks.\nSIHT\n100\nNI\nETIRW\nTON\n75\nX\nOD\ntemperature / °C\n50\nNIGRAM\nSIHT\nY 25 NI\nETIRW\nTON\n0\nOD\n0 0.5 1.0 1.5 2.0 2.5 3.0\n/ min t\nNIGRAM Fig. 2.1\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:181)(cid:254)(cid:215)\n© UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:286)(cid:252)(cid:219)(cid:290)(cid:280)(cid:266)(cid:208)(cid:244)(cid:263)(cid:225)(cid:291)(cid:187)(cid:253)(cid:250)(cid:284)(cid:258) OD\n(cid:293)(cid:293)(cid:293)(cid:277)(cid:245)(cid:213)(cid:293)(cid:181)(cid:213)(cid:277)(cid:213)(cid:261)(cid:261)(cid:181)(cid:293)(cid:213)(cid:197)(cid:213)\nNIGRAM\n7\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44)\n(i) State three conclusions that may be drawn from Fig. 2.1. The conclusions may be\nSIHT\nqualitative or quantitative.\nNI\nETIRW\n1 ........................................................................................................................................\nTON ...........................................................................................................................................\nOD\n2 ........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n3 ........................................................................................................................................\nSIHT ...........................................................................................................................................\n[3]\nNI\nETIRW\nmass of block Y\nis equal to 1.3. (ii) The ratio\nmass of block X\nTON\nkg–1 K–1. The metal in block Y has a specific heat capacity of 901 J\nOD\nDetermine the specific heat capacity of the metal in block X.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nkg–1 K–1 [3] specific heat " }, { "id": "9702-2024-on-41-q03", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_41.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_41.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2024-on-41-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2024-on-41-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-41-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_41.pdf?download=true", "source_pages": [ 8 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44)\n3 (a) (i) State what is meant by the Avogadro constant.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\n..................................................................................................................................... [1]\nOD\n, the molar gas constant R and (ii) State the relationship between the Avogadro constant N\nA\nthe Boltzmann constant k.\nNIGRAM\nSIHT\nNI\n[1]\nETIRW\n(b) Two samples X and Y of ideal gases are both at thermodynamic temperature T.\nTON\nOD Sample X has volume V and consists of N molecules, each of mass m.\nSample Y has volume 2V and consists of 2N molecules, each of mass 2m.\n(i) Complete Table 3.1 by giving expressions, in terms of some or all of N, m, T, V and the\nNIGRAM constants in (a)(ii), for the quantities indicated.\nTable 3.1\nSIHT\nNI sample X sample Y\nETIRW\npressure TON\nOD\namount of\nsubstance\nNIGRAM\nmean-square speed\nof molecules\nSIHT\nNI\nETIRW\ninternal energy\nTON\n[4]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:181)(cid:256)(cid:215)\n© UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:285)(cid:250)(cid:211)(cid:286)(cid:298)(cid:239)(cid:206)(cid:268)(cid:241)(cid:287)(cid:277)(cid:287)(cid:251)(cid:298)(cid:276)(cid:258) OD\n(cid:293)(cid:213)(cid:197)(cid:213)(cid:245)(cid:181)(cid:261)(cid:245)(cid:229)(cid:197)(cid:245)(cid:261)(cid:197)(cid:213)(cid:229)(cid:277)(cid:197)(cid:213)\nNIGRAM\n9\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:10)(cid:44)\n(ii) The temperature of sample X is now varied.\nSIHT\nNI On Fig. 3.1, sketch the variation with thermodynamic temperature of the root-mean-\nETIRW\nsquare (r.m.s.) speed of the molecules of the gas.\nTON\nOD\nr.m.s. speed\nNIGRAM\nSIHT\n0 NI\n0\nETIRW\nthermodynamic temperature\nTON\nFig. 3.1\nOD\n[2]\n[Total: 8]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:181)(cid:256)(cid:215) [Turn over © UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:286)(cid:249)(cid:219)(cid:300)(cid:294)(cid:255)(cid:235)(cid:238)(cid:256)(cid:234)(cid:193)(cid:279)(cid:223)(cid:298)(cid:292)(cid:258) OD\n(cid:293)(cid:213)(cid:181)(cid:277)(cid:181)(cid:213)(cid:293)(cid:277)(cid:181)(cid:181)(cid:229)(cid:261)(cid:197)(cid:181)(cid:197)(cid:213)(cid:213)(cid:213)" }, { "id": "9702-2024-on-41-q04", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_41.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_41.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2024-on-41-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2024-on-41-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-41-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_41.pdf?download=true", "source_pages": [ 9 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:1)(cid:44)\n4 (a) State what is meant by simple harmonic motion.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A block is suspended from a spring, as shown in Fig. 4.1.\nNIGRAM\nspring\nSIHT\nNI\nETIRW\nblock\nTON\nOD h\nfloor\nNIGRAM\nFig. 4.1\nThe block is pulled down and released at time t = 0. It then oscillates vertically with simple\nSIHT\nharmonic motion.\nNI\nETIRW\nFig. 4.2 shows the variation of the velocity v of the block with height h of the base of the block\nabove the floor.\nTON\n10\nOD\ns–1 v / cm\n5 NIGRAM\nSIHT\nNI 0\nETIRW 10 0 2 4 6 8 12\n/ cm h\nTON\nOD –5\nNIGRAM\n–10\nSIHT Fig. 4.2\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:250)(cid:183)(cid:254)(cid:215)\n© UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:288)(cid:250)(cid:218)(cid:288)(cid:290)(cid:297)(cid:212)(cid:259)(cid:250)(cid:197)(cid:249)(cid:285)(cid:271)(cid:210)(cid:300)(cid:258) OD\n(cid:293)(cid:261)(cid:229)(cid:277)(cid:245)(cid:181)(cid:229)(cid:245)(cid:261)(cid:245)(cid:245)(cid:197)(cid:197)(cid:245)(cid:229)(cid:277)(cid:245)(cid:213)\nNIGRAM\n11\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)\n(i) Determine the amplitude, in cm, of the oscillations.\nSIHT\nNI\nETIRW\nTON amplitude = ....................................................cm [1]\nOD\ns–1. (ii) Show that the angular frequency of the oscillations is 3.2 rad\nNIGRAM\nSIHT\nNI\n[2]\nETIRW\n(iii) Calculate the period T of the oscillations.\nTON\nOD\nNIGRAM\nT = .......................................................s [2]\nSIHT\n(iv) On Fig. 4.3, sketch the variation of h with time t from t = 0 to t = 6.0 s.\nNI\nETIRW 10.0\nTON h / cm\nOD\n7.5\nNIGRAM\n5.0\nSIHT\nNI\nETIRW\n2.5\nTON\nOD\n0\n0 1 2 3 4 5 6\n/ s t\nNIGRAM\nFig. 4.3\nSIHT\n[4]\nNI\nETIRW\n[Total: 11]\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:183)(cid:254)(cid:215) [Turn over © UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:287)(cid:249)(cid:210)(cid:298)(cid:286)(cid:281)(cid:229)(cid:245)(cid:263)(cid:260)(cid:221)(cid:277)(cid:203)(cid:210)(cid:284)(cid:258) OD\n(cid:293)(cid:261)(cid:213)(cid:213)(cid:181)(cid:213)(cid:197)(cid:277)(cid:277)(cid:261)(cid:229)(cid:197)(cid:197)(cid:277)(cid:197)(cid:213)(cid:293)(cid:213)" }, { "id": "9702-2024-on-41-q05", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 5, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_41.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_41.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2024-on-41-q05-p01.png", "9702-topic-18-electric-fields/assets/9702-2024-on-41-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-41-q05", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_41.pdf?download=true", "source_pages": [ 10 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44)\n5 (a) State the relationship between electric field and electric potential.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Two charged isolated insulating spheres X and Y are near to each other, as shown in Fig. 5.1.\nX Y\nNIGRAM\nP\nSIHT\nNI\nETIRW\nFig. 5.1\nTON\nP is a point on the line joining the centres of the spheres.\nOD\nExplain why it is not possible for the total electric potential and the resultant electric field to\nsimultaneously be zero at point P.\n................................................................................................................................................... NIGRAM\n...................................................................................................................................................\nSIHT\n................................................................................................................................................... NI\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [3]\nOD\n(c) The magnitudes of the charges on spheres X and Y in Fig. 5.1 are Q and 2Q respectively.\nThe spheres may be considered as point charges at their centres.\nNIGRAM\nPoint P is a distance x from the centre of sphere X.\nThe electric potential at point P is zero.\nSIHT\nNI (i) Show that the distance y of point P from the centre of sphere Y is equal to 2x.\nETIRW\nTON\nOD\n[2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:183)(cid:256)(cid:215)\n© UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:287)(cid:252)(cid:210)(cid:292)(cid:272)(cid:272)(cid:210)(cid:251)(cid:256)(cid:267)(cid:255)(cid:185)(cid:297)(cid:194)(cid:292)(cid:258) OD\n(cid:293)(cid:181)(cid:261)(cid:213)(cid:245)(cid:213)(cid:197)(cid:181)(cid:245)(cid:229)(cid:213)(cid:197)(cid:261)(cid:277)(cid:293)(cid:213)(cid:245)(cid:213)\nNIGRAM\n13\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44)\n(ii) State an expression, in terms of Q, x and the permittivity of free space ε, for the electric\nSIHT 0\nat P due to sphere X. field strength E\nX\nNI\nETIRW\nTON\nOD\n= ..............................................." }, { "id": "9702-2024-on-41-q06", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 6, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_41.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_41.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2024-on-41-q06-p01.png", "9702-topic-21-alternating-currents/assets/9702-2024-on-41-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-41-q06", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_41.pdf?download=true", "source_pages": [ 11 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:5)(cid:44)\n6 (a) (i) State what is meant by rectification of an alternating voltage.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n..................................................................................................................................... [1]\nTON\n(ii) State the difference between half-wave rectification and full-wave rectification.\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [2]\nSIHT\n(b) (i) Complete Fig. 6.1 to show a circuit that produces half-wave rectification of an alternating\nNI\nto produce output voltage V across the resistor R. input voltage V\nETIRW IN OUT\nTON\nOD\nV V R C\nIN OUT\nNIGRAM\nSIHT\nNI\nFig. 6.1\nETIRW\n[2]\nTON\nOD (ii) State the purpose of the capacitor C in the circuit of Fig. 6.1.\n...........................................................................................................................................\nNIGRAM ..................................................................................................................................... [1]\nin Fig. 6.1 is a square wave. Fig. 6.2 shows the variation of V with (c) The input voltage V\nIN IN SIHT\ntime t.\nNI\nETIRW +12\nTON / V V\nIN\nOD\n0\n0 0.01 0.02 0.03 0.04\nt / s\nNIGRAM\n–12\nSIHT\nFig. 6.2\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:182)(cid:258)(cid:215)\n© UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:287)(cid:249)(cid:219)(cid:300)(cid:287)(cid:280)(cid:213)(cid:267)(cid:246)(cid:289)(cid:247)(cid:284)(cid:185)(cid:242)(cid:284)(cid:258) OD\n(cid:293)(cid:277)(cid:245)(cid:213)(cid:245)(cid:213)(cid:293)(cid:245)(cid:261)(cid:197)(cid:261)(cid:261)(cid:197)(cid:181)(cid:229)(cid:213)(cid:181)(cid:213)\nNIGRAM\n15\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44)\nFig. 6.3 shows the variation of V with t.\nSIHT OUT\n12 NI\nETIRW\nV / V\nOUT TON\n8 OD\nNIGRAM\n4\nSIHT\nNI\n0\nETIRW\n0 0.01 0.02 0.03 0.04\n/ s t\nTON\nOD Fig. 6.3\nThe maximum energy stored in the capacitor is 0.041 J.\nNIGRAM μF. (i) Show that the capacitance of C is 570\nSIHT\nNI\nETIRW\nTON\nOD\n[2]\n(ii) Determine the resistance of R.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nresistance = ..................................................... Ω [3]\nNIGRAM [Total: 11]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207" }, { "id": "9702-2024-on-41-q07", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 7, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_41.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2024-on-41-q07-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2024-on-41-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-41-q07", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_41.pdf?download=true", "source_pages": [ 12 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44)\n7 (a) Define magnetic flux density.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A long, straight wire carries a current into the page, as shown in Fig. 7.1.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nFig. 7.1\nTON\nOn Fig. 7.1, draw four field lines to represent the magnetic field around the wire due to the\nOD\ncurrent in it. [3]\n(c) Two identical wires X and Y are placed parallel to each other . The wires both carry current\ninto the page, as shown in Fig. 7.2.\nNIGRAM\nSIHT\nNI\nX Y\nETIRW\nTON\nOD\nFig. 7.2 NIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:251)(cid:182)(cid:260)(cid:215)\n© UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:288)(cid:251)(cid:211)(cid:296)(cid:273)(cid:289)(cid:215)(cid:243)(cid:260)(cid:223)(cid:257)(cid:192)(cid:191)(cid:290)(cid:276)(cid:258) OD\n(cid:293)(cid:229)(cid:213)(cid:277)(cid:245)(cid:181)(cid:261)(cid:181)(cid:245)(cid:277)(cid:229)(cid:261)(cid:261)(cid:213)(cid:293)(cid:277)(cid:181)(cid:213)\nNIGRAM\n17\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44)\n(i) Explain why the two wires exert a magnetic force on each other.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\n...........................................................................................................................................\nOD\n..................................................................................................................................... [2]\n(ii) On Fig. 7.2, draw an arrow to show the direction of the magnetic force exerted on wire X .\nNIGRAM\nLabel your arrow F. [1]\nSIHT (iii) The current in X is double the current in Y.\nNI\nState how the magnetic force exerted on wire Y compares with the magnetic force\nETIRW\nexerted on wire X.\nTON\n...........................................................................................................................................\nOD\n...........................................................................................................................................\n................................................................" }, { "id": "9702-2024-on-41-q08", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_41.pdf?download=true", "source_pages": [ 18, 19, 20 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_41.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2024-on-41-q08-p01.png", "9702-topic-22-quantum-physics/assets/9702-2024-on-41-q08-p02.png", "9702-topic-22-quantum-physics/assets/9702-2024-on-41-q08-p03.png" ], "answer": { "status": "available", "id": "9702-2024-on-41-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_41.pdf?download=true", "source_pages": [ 13 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:9)(cid:44)\n8 A polished sheet of magnesium in a vacuum emits electrons when it is illuminated by ultraviolet\nSIHT\nradiation.\nNI\nETIRW\n(a) State the name of this phenomenon.\nTON ............................................................................................................................................. [1]\nOD\n(b) For emission of electrons to occur, the frequency of the ultraviolet radiation must be at least\n1014 Hz. 8.8 ×\n(i) Calculate the work function energy of magnesium.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD work function energy = ...................................................... J [2]\n1014 Hz, calculate the maximum speed (ii) For ultraviolet radiation with a frequency of 1 1 ×\nof the emitted electrons.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 [3] maximum speed = ................................................ m\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:184)(cid:258)(cid:215)\n© UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:285)(cid:251)(cid:218)(cid:294)(cid:281)(cid:247)(cid:217)(cid:252)(cid:267)(cid:261)(cid:285)(cid:190)(cid:235)(cid:218)(cid:300)(cid:258) OD\n(cid:293)(cid:245)(cid:181)(cid:213)(cid:245)(cid:181)(cid:229)(cid:181)(cid:213)(cid:229)(cid:229)(cid:197)(cid:261)(cid:245)(cid:293)(cid:277)(cid:261)(cid:213)\nNIGRAM\n19\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:10)(cid:44)\n(c) The frequency f of the ultraviolet radiation incident on the magnesium sheet is varied between\nSIHT\n1014 1014 Hz and 11 × Hz. 8.0 ×\nNI\nETIRW\nof the emitted On Fig. 8.1, sketch the variation with f of the maximum kinetic energy E\nMAX\nelectrons. Use the space below for any working that you need.\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n2.0\nTON\nOD\n1.5\nNIGRAM 10–19 / J E\nMAX\n1.0 SIHT\nNI\nETIRW\n0.5\nTON\nOD\n0\n8.0 8.5 9.0 9.5 10.0 10.5 11.0\nNIGRAM\n1014 f / Hz\nSIHT\nFig. 8.1\nNI\nETIRW [3]\nTON [Total: 9]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:249)(cid:184)(cid:258)(cid:215) [Turn over © UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:286)(cid:252)(cid:210)(cid:292)(cid:277)(cid:263)(cid:224)(cid:254)(cid:246)(cid:196)(cid:185)(cid:182)(cid:239)(cid:218)(cid:284)(cid:258) OD\n(cid:293)(cid:245)(cid:197)(cid:277)(cid:181)(cid:213)(cid:197)(cid:213)(cid:197)(cid:213)(cid:245)(cid:197)(cid:261)(cid:277)(cid:261)(cid:213)(cid:277)(cid:213)\nNIGRAM\n20\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:1)(cid:44)\nBLANK PAGE\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:2" }, { "id": "9702-2024-on-41-q09", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 9, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_41.pdf?download=true", "source_pages": [ 21 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_41.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2024-on-41-q09-p01.png" ], "answer": { "status": "available", "id": "9702-2024-on-41-q09", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_41.pdf?download=true", "source_pages": [ 14 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:2)(cid:44)\n18 (β+) F) decays by beta-plus emission with a half-life of 110 minutes. 9 Fluorine-18 ( SIHT\n9\nNI\n(a) (i) State the name of the beta-plus particle.\nETIRW\n..................................................................................................................................... [1]\nTON\n10–4 s–1. (ii) Show that the decay constant of fluorine-18 is 1.05 × OD\nNIGRAM\nSIHT\n[1]\nNI\n10–12 kg of fluorine-18. (iii) Determine the activity of 2.1 × ETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI activity = .................................................... Bq [3]\nETIRW\n(b) A small sample of fluorine-18 injected into the body acts as a tracer for use in medical imaging.\nTON\n+ particle with an electron in the body enables the (i) Describe how the interaction of a β\nOD\nformation of an image.\n...........................................................................................................................................\nNIGRAM\n...........................................................................................................................................\nSIHT ...........................................................................................................................................\nNI\n...........................................................................................................................................\nETIRW\n..................................................................................................................................... [3]\nTON\nOD (ii) Suggest why 110 minutes is a suitable half-life for a nuclide used as a tracer in medical\ndiagnosis.\n...........................................................................................................................................\nNIGRAM\n...........................................................................................................................................\nSIHT\n..................................................................................................................................... [2]\nNI\nETIRW [Total: 10]\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:249)(cid:184)(cid:260)(cid:215) [Turn over © UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:285)(cid:250)(cid:218)(cid:288)(cid:299)(cid:242)(cid:222)(cid:246)(cid:260)(cid:254)(cid:191)(cid:290)(cid:265)(cid:202)(cid:276)(cid:258) OD\n(cid:293)(cid:197)(cid:293)(cid:213)(cid:181)(cid:181)(cid:229)(cid:277)(cid:181)(cid:261)(cid:213)(cid:197)(cid:197)(cid:245)(cid:197)(cid:277)(cid:277)(cid:213)" }, { "id": "9702-2024-on-41-q10", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_41.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_41.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-on-41-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-on-41-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-on-41-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2024-on-41-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_41.pdf?download=true", "source_pages": [ 15 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:3)(cid:44)\n10 (a) Explain how redshift leads to the idea that the Universe is expanding.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n...................................................................................................................................................\nOD\n...................................................................................................................................................\n............................................................................................................................................. [3]\nNIGRAM\n(b) Stars in a distant galaxy emit radiation. The total luminosity of the stars in the galaxy is\n1036 W. 1.90 × SIHT\nThe emission spectrum of the radiation contains a line X at a wavelength of 658 nm.\nNI\nETIRW\nRadiation from the galaxy is observed on the Earth. The observed radiation has a radiant flux\n10–16 m–2. W In the observed emission spectrum, line X is at a wavelength intensity of 8.42 ×\nTON\nof 726 nm.\nOD\nDetermine:\n(i) the distance d of the galaxy from the Earth\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nd = ..................................................... m [2]\n(ii) the speed v of the galaxy relative to the Earth.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 [2] v = ................................................ m\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:249)(cid:181)(cid:258)(cid:215)\n© UCLES 2024 9702/41/O/N/24 (cid:300)(cid:223)(cid:286)(cid:250)(cid:213)(cid:294)(cid:259)(cid:252)(cid:230)(cid:241)(cid:241)(cid:247)(cid:223)(cid:282)(cid:300)(cid:290)(cid:292)(cid:258) OD\n(cid:293)(cid:277)(cid:197)(cid:213)(cid:181)(cid:277)(cid:229)(cid:181)(cid:245)(cid:293)(cid:245)(cid:197)(cid:261)(cid:245)(cid:293)(cid:213)(cid:197)(cid:213)\nNIGRAM\n23\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:4)(cid:44)\n(c) Observations of many galaxies, such as the one in (b), lead to many pairs of values of d and\nSIHT\nv. Plotting these values reveals a trend.\nNI\nETIRW\n(i) On Fig. 10.1, sketch the variation of v with d.\nTON\nOD\nv\nNIGRAM\nSIHT\n0 NI\n0\nETIRW\nd\nTON\nFig. 10.1\nOD\n[2]\n(ii) State the name of the quantity represented by the gradient of the line in Fig. 10.1.\nNIGRAM\n..................................................................................................................................... [1]\nSIHT\n[Total: 10]\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(c" }, { "id": "9702-2024-on-42-q01", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_42.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2024-on-42-q01-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2024-on-42-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-42-q01", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_42.pdf?download=true", "source_pages": [ 5 ], "marks": 13 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:5)(cid:44)\n1 A metal wheel consists of an axle A, eight spokes and a rim, as shown in Fig. 1.1.\nSIHT\nspoke NI\nETIRW\nTON\naxle A\nOD\nrim\nNIGRAM\nX\nSIHT\nNI\nETIRW\nTON\nOD\nFig. 1.1\nPoint X is on the rim at the end of one of the spokes.\nNIGRAM\nThe rim has a radius of 0.85 m.\ns–1. The wheel is rotating clockwise with an angular speed of 140 rad SIHT\nNI\n(a) For point X, determine:\nETIRW\n(i) the speed\nTON\nOD\nNIGRAM\nSIHT\ns–1 [2] speed = ................................................ m\nNI\nETIRW (ii) the centripetal acceleration.\nTON\nOD\nNIGRAM\ns–2 [2] acceleration = ................................................ m\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:183)(cid:256)(cid:215)\n© UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:185)(cid:250)(cid:209)(cid:299)(cid:261)(cid:239)(cid:228)(cid:250)(cid:265)(cid:181)(cid:229)(cid:174)(cid:245)(cid:249)(cid:272)(cid:258) OD\n(cid:293)(cid:213)(cid:213)(cid:277)(cid:181)(cid:181)(cid:293)(cid:245)(cid:229)(cid:197)(cid:181)(cid:261)(cid:197)(cid:181)(cid:229)(cid:245)(cid:213)(cid:213)\nNIGRAM\n5\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n(b) There is a uniform magnetic field of flux density 0.18 T into the plane of the page.\nSIHT\nNI (i) State Lenz’s law of electromagnetic induction.\nETIRW\n...........................................................................................................................................\nTON\n...........................................................................................................................................\nOD\n..................................................................................................................................... [2]\n(ii) Show that the time taken for point X to complete one revolution is 45 ms.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD [1]\n(iii) Calculate the magnetic flux cut by spoke AX during one revolution of the wheel.\nGive a unit with your answer.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nmagnetic flux = .................................... unit ............ [3]\n(iv) Determine the magnitude of the electromotive force (e.m.f.) induced across spoke AX.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\ninduced e.m.f. = ...................................................... V [2] OD\n(v) Use Lenz’s law to explain whether the potential is higher at end A or end X of the spoke.\n........................................................................................................................................... NIGRAM\n...........................................................................................................................................\nSIHT\n..................................................................................................................................... [1]\nN" }, { "id": "9702-2024-on-42-q02", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_42.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_42.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-on-42-q02-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-on-42-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-42-q02", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_42.pdf?download=true", "source_pages": [ 6 ], "marks": 12 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n30 2 The Sun may be considered as a uniform sphere with a mass of 1.99 × 10 kg and a surface\nSIHT\ntemperature of 5780 K.\nNI\nETIRW\nA probe with a mass of 2.63 kg moves in a straight line towards the Sun.\nWhen it is at a distance x from the centre of the Sun, the probe measures the grav itational field\nTON strength g due to the Sun and the radiant flux intensity F of radiation from the Sun.\nOD\n(a) Define gravitational field.\n...................................................................................................................................................\nNIGRAM\n............................................................................................................................................. [1]\n1011 m: (b) For the position of the probe where x = 1.47 × SIHT\nNI\n(i) calculate g\nETIRW\nTON\nOD\nkg–1 [2] g = ............................................... N\nNIGRAM\nof the probe. (ii) determine the gravitational potential energy E\nP\nSIHT\nNI\nETIRW\nTON\nOD\nE = ....................................................... J [2]\nP\n(c) (i) Show that, for any particular value of x, the numerical values of g and F are related by\nNIGRAM\n4πGM\nF g =\nL\nSIHT\nwhere M is the mass of the Sun, L is the luminosity of the Sun and G is the\nNI\ngravitational constant. ETIRW\nTON\nOD\nNIGRAM\n[3]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:250)(cid:182)(cid:254)(cid:215)\n© UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:185)(cid:249)(cid:214)(cid:295)(cid:289)(cid:261)(cid:205)(cid:267)(cid:261)(cid:265)(cid:273)(cid:174)(cid:196)(cid:209)(cid:272)(cid:258) OD\n(cid:293)(cid:261)(cid:261)(cid:213)(cid:245)(cid:245)(cid:261)(cid:181)(cid:245)(cid:213)(cid:197)(cid:261)(cid:261)(cid:213)(cid:293)(cid:245)(cid:277)(cid:213)\nNIGRAM\n7\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44)\n(ii) Fig. 2.1 shows the variation of g with F.\nSIHT\n8 NI\nETIRW\n10–3 kg–1 g / N\nTON\n4 OD\nNIGRAM\n0\n0 0.5 1.0 1.5 2.0\n103 m–2 / W F\nSIHT\nNI\nFig. 2.1\nETIRW\nDetermine a value for the luminosity L of the Sun. Give a unit with your answer.\nTON\nOD\nNIGRAM\nSIHT\nNI\nL = .................................... unit ............ [2] ETIRW\n(iii) Use your answer in (c)(ii) to determine the radius r of the Sun. TON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nr = ...................................................... m [2]\nTON [Total: 12]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:182)(cid:254)(cid:215) [Turn over © UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:186)(cid:250)(cid:206)(cid:289)(cid:285)(cid:245)(cid:236)(cid:237)(cid:252)(cid:192)(cid:197)(cid:198)(cid:280)(cid:209)(cid:288)(cid:258) OD\n(cid:293)(cid:261)(cid:245)(ci" }, { "id": "9702-2024-on-42-q03", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2024-on-42-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2024-on-42-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-42-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_42.pdf?download=true", "source_pages": [ 7 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44)\n3 (a) Define specific latent heat.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n10–5 m3 of a substance rests on a laboratory bench. The substance is (b) A dish containing 7.2 ×\nm–3. 105 Atmospheric pressure is 1.0 × Pa. initially a liquid of density 710 kg\nNIGRAM\nThe liquid is heated at its boiling point so that it completely vaporises. The increase in the\ninternal energy of the substance during this process is 17.6k J. The final volume of the vapour\nm3. is 0.017 SIHT\nNI\n(i) Show that the magnitude of the work done on the substance when it vaporises is 1.7 kJ.\nETIRW\nTON\nOD\nNIGRAM [2]\n(ii) Use the information in (b)(i) to calculate the thermal energy Q, in kJ, supplied to the\nSIHT\nsubstance to cause it to vaporise.\nNI\nETIRW\nTON\nOD\nNIGRAM\nQ = ..................................................... kJ [2]\n(iii) Use your answer in (b)(ii) to determine a value for the specific latent heat of vaporisation SIHT\nkg–1, , in kJ of the substance. L\nV NI\nETIRW\nTON\nOD\nNIGRAM\nkg–1 L = .............................................. kJ [2]\nV\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:182)(cid:256)(cid:215)\n© UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:186)(cid:251)(cid:206)(cid:299)(cid:271)(cid:244)(cid:207)(cid:243)(cid:243)(cid:199)(cid:295)(cid:298)(cid:182)(cid:193)(cid:280)(cid:258) OD\n(cid:293)(cid:181)(cid:229)(cid:277)(cid:245)(cid:277)(cid:293)(cid:245)(cid:261)(cid:261)(cid:293)(cid:261)(cid:197)(cid:181)(cid:229)(cid:181)(cid:277)(cid:213)\nNIGRAM\n9\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:10)(cid:44)\n(c) The substance in (b) has a specific latent heat of fusion L .\nSIHT F\nNI is likely to be less than, the same as, or greater than the Suggest and explain whether L\nF\nETIRW\nanswer in (b)(iii).\nTON ...................................................................................................................................................\nOD\n...................................................................................................................................................\n...................................................................................................................................................\nNIGRAM\n......................................................................................................................." }, { "id": "9702-2024-on-42-q04", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_42.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2024-on-42-q04-p01.png", "9702-topic-15-ideal-gases/assets/9702-2024-on-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-42-q04", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:1)(cid:44)\n4 (a) State three of the basic assumptions of the kinetic theory of gases.\nSIHT\nNI 1 ................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n2 ................................................................................................................................................\nOD\n...................................................................................................................................................\n3 ................................................................................................................................................\nNIGRAM\n...................................................................................................................................................\n[3] SIHT\nNI\n(b) Explain how molecular movement causes the pressure exerted by a gas.\nETIRW\n...................................................................................................................................................\nTON\nOD ...................................................................................................................................................\n...................................................................................................................................................\nNIGRAM ...................................................................................................................................................\n............................................................................................................................................. [3]\nSIHT\n(c) Fig. 4.1 shows the variation with thermodynamic temperature T of the m ean‑square speeds NI\n〈c2〉 ETIRW for two gases X and Y.\n6\nTON\nOD\n106 m2 s–2 2〉 X / 〈c\n4\nNIGRAM\nY\nSIHT\n2\nNI\nETIRW\nTON 0\n0 100 200 300 400\nOD\n/ K T\nFig. 4.1\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:184)(cid:254)(cid:215)\n© UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:187)(cid:251)(cid:215)(cid:297)(cid:279)(cid:294)(cid:209)(cid:252)(cid:252)(cid:285)(cid:267)(cid:300)(cid:210)(cid:249)(cid:288)(cid:258) OD\n(cid:293)(cid:293)(cid:197)(cid:213)(cid:245)(cid:277)(cid:197)(cid:245)(cid:229)(cid:181)(cid:293)(cid:197)(cid:197)(cid:277)(cid:229)(cid:181)(cid:229)(cid:213)\nNIGRAM\n11\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)\nFig. 4.2 shows the variation with T of the product pV for samples of the two gases, where p is\nSIHT\nthe pressure of the gas and V is the volume of the gas.\nN" }, { "id": "9702-2024-on-42-q05", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2024-on-42-q05-p01.png", "9702-topic-17-oscillations/assets/9702-2024-on-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-42-q05", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44)\n5 Fig. 5.1 shows a pendulum consisting of a metal sphere suspended by a thin string.\nSIHT\nNI\nETIRW\nTON\nthin string\nOD\nmetal sphere\nNIGRAM\nSIHT\noscillations\nNI\nETIRW\nFig. 5.1 (not to scale)\nTON\nThe sphere undergoes small oscillations about its equilibrium position. The oscillations may be\nOD considered to be simple harmonic.\nFig. 5.2 shows the variation with time t of the displacement x of the sphere from its\nequilibrium position.\nNIGRAM\n0.02\n/ m x SIHT\nNI\nETIRW\n0.01\nTON\nOD\n0\n0 0.2 0.4 0.6 0.8 1.0 1.2\n/ s t\nNIGRAM\n–0.01\nSIHT\nNI\nETIRW\n–0.02\nTON\nFig. 5.2\nOD\n(a) On Fig. 5.1, draw an arrow , from the centre of the sphere, to represent the direction of the\nresultant force acting on the sphere when it is in the position shown. [1]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:184)(cid:256)(cid:215)\n© UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:188)(cid:249)(cid:207)(cid:293)(cid:297)(cid:275)(cid:211)(cid:260)(cid:254)(cid:227)(cid:237)(cid:176)(cid:232)(cid:297)(cid:296)(cid:258) OD\n(cid:293)(cid:213)(cid:293)(cid:277)(cid:245)(cid:245)(cid:229)(cid:181)(cid:213)(cid:293)(cid:197)(cid:197)(cid:261)(cid:245)(cid:293)(cid:245)(cid:229)(cid:213)\nNIGRAM\n13\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44)\n(b) The mass of the sphere is 0.15 kg.\nSIHT\nNI (i) State the amplitude of the oscillations.\nETIRW\nTON amplitude = ...................................................... m [1]\nOD\n(ii) Determine the angular frequency of the oscillations.\nNIGRAM\nSIHT\nNI\nETIRW\ns–1 [2] angular frequency = .............................................. rad\nTON\n(iii) Calculate the total energy of the oscillations.\nOD\nNIGRAM\nSIHT\nNI\nETIRW\ntotal energy = ....................................................... J [2]\nTON of the sphere. (c) On Fig. 5.3, sketch the variation with x of the kinetic energy E\nK\nOD\n6\n10–3 E / J\nK\nNIGRAM\n4\nSIHT\nNI\nETIRW\n2\nTON\nOD\n0\n–0.02 –0.01 0 0.01 0.02\nx / m\nNIGRAM\nFig. 5.3\n[3]\nSIHT\nNI [Total: 9]\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:184)(cid:256)(cid:215) [Turn over © UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:187)(cid:250)(cid:215)(cid:291)(cid:293)(cid:291)(cid:230)(cid:246)(cid:243)(cid:294)(cid:233)(cid:200)(cid:244)(cid:297)(cid:280)(cid:258) OD\n(cid:293)(cid:213)(cid:277)(cid:213)(cid:181)(cid:277)(cid:197)(cid:213)(cid:197)(cid:277)(cid:277)(cid:197)(cid:261)(cid:277)(cid:261)(cid:181)(cid:181)(cid:213)" }, { "id": "9702-2024-on-42-q06", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_42.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2024-on-42-q06-p01.png", "9702-topic-18-electric-fields/assets/9702-2024-on-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-42-q06", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_42.pdf?download=true", "source_pages": [ 10 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:5)(cid:44)\n6 (a) State Coulomb’s law.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Fig. 6.1 shows an isolated hollow conducting sphere that is positively charged.\nNIGRAM\nSIHT\nNI\nETIRW\n+\n+ +\nTON\n+ +\nOD\n+ +\n+\nNIGRAM\nSIHT\nNI\nETIRW\nFig. 6.1\nTON\nOn Fig. 6.1, draw field lines to represent the electric field outside the sphere. [3]\nOD\n(c) Fig. 6.2 shows the variation of the electric field strength E with distance x from the centre of\nthe sphere in (b).\n3 NIGRAM\n105 C–1 / N E SIHT\nNI 2\nETIRW\nTON\nOD 1\nNIGRAM\n0\n0 2 4 6 8\nx / cm\nSIHT\nFig. 6.2 NI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:181)(cid:258)(cid:215)\n© UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:188)(cid:252)(cid:214)(cid:285)(cid:282)(cid:283)(cid:216)(cid:244)(cid:248)(cid:201)(cid:261)(cid:269)(cid:248)(cid:217)(cid:272)(cid:258) OD\n(cid:293)(cid:245)(cid:277)(cid:277)(cid:245)(cid:245)(cid:261)(cid:245)(cid:229)(cid:261)(cid:277)(cid:261)(cid:197)(cid:213)(cid:229)(cid:245)(cid:293)(cid:213)\nNIGRAM\n15\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44)\n(i) Determine the radius, in cm, of the sphere.\nSIHT\nNI\nETIRW\nTON\nradius = .................................................... cm [1]\nOD\n(ii) Calculate the charge on the sphere.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ncharge = ...................................................... C [3]\nNIGRAM (iii) Suggest an explanation for the fact that the electric field inside the sphere is zero.\n...........................................................................................................................................\nSIHT\n........................................................................................................................................... NI\nETIRW\n..................................................................................................................................... [1]\nTON\n[Total: 10]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:249)(cid:181)(cid:258)(cid:215) [Turn over © UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:187)(cid:251)(cid:206)(cid:299)(cid:278)(cid:299)(cid:225)(cid:262)(cid:265)(cid:256)(cid:209)(cid:293)(cid:228)(cid:217)(cid:288)(cid:258) OD\n(cid:293)(cid:245)(cid:293)(cid:213)" }, { "id": "9702-2024-on-42-q07", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_42.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2024-on-42-q07-p01.png", "9702-topic-19-capacitance/assets/9702-2024-on-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-42-q07", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_42.pdf?download=true", "source_pages": [ 11 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44)\n7 (a) Define the capacitance of a parallel‑plate capacitor.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) An initially uncharged capacitor X, of capacitance C, is gradually charged so that the final\npotential difference (p.d.) between its plates is V and the final charge is Q.\nNIGRAM\n(i) On Fig. 7.1, sketch the variation of charge with p.d. for capacitor X as the p.d. increases\nfrom 0 to V.\nSIHT\nNI\nQ\nETIRW\ncharge\nTON\nOD\n0 NIGRAM\n0 V\np.d.\nSIHT\nNI Fig. 7.1\nETIRW\n[2]\nTON (ii) Determine an expression, in terms of Q and V, for the work W done on capacitor X\nduring the charging process. Explain your reasoning.\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nW = ......................................................... [2]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:181)(cid:260)(cid:215)\n© UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:187)(cid:250)(cid:206)(cid:289)(cid:296)(cid:286)(cid:214)(cid:268)(cid:258)(cid:263)(cid:243)(cid:201)(cid:258)(cid:201)(cid:280)(cid:258) OD\n(cid:293)(cid:197)(cid:181)(cid:213)(cid:245)(cid:277)(cid:293)(cid:181)(cid:213)(cid:213)(cid:181)(cid:261)(cid:261)(cid:181)(cid:293)(cid:181)(cid:293)(cid:213)\nNIGRAM\n17\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44)\n(c) Another capacitor Y is initially uncharged. The fully charged capacitor X in (b) is now\nSIHT\nconnected to capacitor Y, as shown in Fig. 7.2.\nNI\nETIRW X\nTON\nOD\nY\nNIGRAM\nFig. 7.2\nSIHT\nThe capacitance of capacitor Y is 3C.\nNI\nETIRW\n(i) Complete Table 7.1 to show expressions, in terms of Q and V, for the final p.d.s across,\nand the final charges on, the two capacitors. TON\nUse the space below for any working that you need.\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nTable 7.1\nOD\nX Y\nNIGRAM\nfinal p.d.\nSIHT\nNI final charge\nETIRW\n[3]\nTON\n(ii) State whether the total energy stored in the two capacitors is less than, the same as, or OD\ngreater than the energy initially stored in capacitor X.\n..................................................................................................................................... [1]\nNIGRAM\n[Total: 10]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:249)(cid:181)(cid:260)(cid:215) [Turn over © UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:188)(cid:249" }, { "id": "9702-2024-on-42-q08", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2024-on-42-q08-p01.png", "9702-topic-21-alternating-currents/assets/9702-2024-on-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-42-q08", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_42.pdf?download=true", "source_pages": [ 12 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:9)(cid:44)\n8 (a) State what is meant by the frequency of an alternating current.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n............................................................................................................................................. [1]\nTON\n(b) An alternating current I in a resistor of resistance 680 Ω varies with time t according to\nOD\nI = 3.5 sin (40πt)\nwhere I is in A and t is in s.\nNIGRAM\n(i) Show that the period of the alternating current is 50 ms.\nSIHT\nNI\nETIRW\nTON\nOD\n[1]\n(ii) On Fig. 8.1, sketch the variation of I with t between t = 0 and t = 100 ms.\nNIGRAM\n4\nSIHT\n/ A I\nNI\nETIRW\n2\nTON\nOD\n0\n0 25 50 75 100\n/ ms t\nNIGRAM\n–2\nSIHT\nNI\nETIRW\n– 4\nTON\nFig. 8.1\nOD\n[3]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:183)(cid:258)(cid:215)\n© UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:186)(cid:250)(cid:215)(cid:291)(cid:288)(cid:252)(cid:220)(cid:259)(cid:265)(cid:221)(cid:271)(cid:203)(cid:294)(cid:241)(cid:288)(cid:258) OD\n(cid:293)(cid:277)(cid:213)(cid:277)(cid:245)(cid:277)(cid:197)(cid:181)(cid:245)(cid:293)(cid:181)(cid:197)(cid:261)(cid:277)(cid:293)(cid:181)(cid:213)(cid:213)\nNIGRAM\n19\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:10)(cid:44)\n(iii) Determine the root‑mean‑square (r.m.s.) current in the resistor.\nSIHT\nNI\nETIRW\nTON\nr.m.s. current = ....................................................... A [1]\nOD\n(c) Use data from (b), including your answer in (b)(iii), to show by calculation that the mean\npower in the 680 Ω resistor is half of the peak power.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\n[3]\nNI\nETIRW [Total: 9]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:249)(cid:183)(cid:258)(cid:215) [Turn over © UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:185)(cid:249)(cid:207)(cid:293)(cid:292)(cid:268)(cid:221)(cid:245)(cid:248)(cid:300)(cid:203)(cid:179)(cid:178)(cid:241)(cid:272)(cid:258) OD\n(cid:293)(cid:277)(cid:229)(cid:213)(cid:181)(cid:245)(cid:229)(cid:213)(cid:293)(cid:277)(cid:293)(cid:197)(cid:261)(cid:245)(cid:261)(cid:245)(cid:197)(cid:213)" }, { "id": "9702-2024-on-42-q09", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_42.pdf?download=true", "source_pages": [ 20, 21, 22 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_42.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2024-on-42-q09-p01.png", "9702-topic-22-quantum-physics/assets/9702-2024-on-42-q09-p02.png", "9702-topic-22-quantum-physics/assets/9702-2024-on-42-q09-p03.png" ], "answer": { "status": "available", "id": "9702-2024-on-42-q09", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_42.pdf?download=true", "source_pages": [ 13 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:1)(cid:44)\n9 Electrons in a vacuum are accelerated from rest through a potential difference (p.d.) V to form a\nSIHT\nbeam. The electrons each have mass m and charge q.\nNI\nETIRW\nThe beam is incident on a graphite crystal that acts as a dif fraction grating. After passing through\nthe crystal, the beam reaches a fluorescent screen. An interference pattern is observed on\nTON this screen.\nOD\n(a) Explain what this observation shows about the nature of electrons.\n...................................................................................................................................................\nNIGRAM\n...................................................................................................................................................\n............................................................................................................................................. [1] SIHT\nNI\n(b) Determine an expression, in terms of m, q and V, for the momentum p of an electron in\nETIRW\nthe beam.\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\np = ......................................................... [3]\nTON\n(c) The p.d. through which the electrons are accelerated is now increased to a greater value.\nOD\nDescribe and explain the effect of this change on the interference pattern observed.\n...................................................................................................................................................\nNIGRAM\n...................................................................................................................................................\nSIHT\n............................................................................................................................................. [2]\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:251)(cid:183)(cid:260)(cid:215)\n© UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:185)(cid:252)(cid:207)(cid:287)(cid:274)(cid:253)(cid:218)(cid:251)(cid:239)(cid:291)(cid:297)(cid:271)(cid:276)(cid:289)(cid:296)(cid:258) OD\n(cid:293)(cid:229)(cid:245)(cid:213)(cid:245)(cid:245)(cid:229)(cid:245)(cid:261)(cid:181)(cid:277)(cid:197)(cid:197)(cid:245)(cid:229)(cid:245)(cid:213)(cid:213)\nNIGRAM\n21\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:2)(cid:44)\n(d) The electrons are now accelerated through dif ferent values of V, resulting in pairs of\nSIHT\nλ. corresponding values for p and the de Broglie wavelength\nNI\nETIRW 1\n(i) On Fig. 9.1, sketch the variation of p with .\nλ\nTON\nOD\np\nNIGRAM\nSIHT\n0\nNI 0\n1 ETIRW\nλ\nTON\nFig. 9.1\nOD\n[2]\n(ii) State the name of the quantity represented by the gradient of the line in Fig. 9.1.\nNIGRAM\n......................................................................................" }, { "id": "9702-2024-on-42-q10", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_42.pdf?download=true", "source_pages": [ 23, 24 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2024-on-42-q10-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2024-on-42-q10-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-42-q10", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_42.pdf?download=true", "source_pages": [ 14 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:4)(cid:44)\n10 (a) Radioactive decay is both random and spontaneous.\nSIHT\nNI (i) State what is meant by random.\nETIRW\n...........................................................................................................................................\nTON\n..................................................................................................................................... [1]\nOD\n(ii) State what is meant by spontaneous.\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [1]\nSIHT\n(iii) State one piece of evidence for the random nature of decay.\nNI\nETIRW\n...........................................................................................................................................\nTON\n..................................................................................................................................... [1]\nOD\n(b) (i) Describe the differences between nuclear fission and nuclear fusion.\n...........................................................................................................................................\nNIGRAM\n...........................................................................................................................................\nSIHT\n...........................................................................................................................................\nNI\nETIRW ...........................................................................................................................................\n..................................................................................................................................... [3] TON\nOD\n(ii) Explain, with reference to the variation of binding energy per nucleon with nucleon\nnumber, why the processes of nuclear fission and nuclear fusion both result in a release\nof energy.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\n...........................................................................................................................................\n...........................................................................................................................................\nSIHT\nNI ..................................................................................................................................... [2]\nETIRW\n[Total: 8]\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:182)(cid:258)(cid:215)\n© UCLES 2024 9702/42/O/N/24 (cid:300)(cid:236)(cid:186)(cid:252)(cid:212)(cid:293)(cid:250)(cid:263)(cid:210)(cid:240)(cid:254)(cid:282)(cid:265)(cid:295)(cid:241)(ci" }, { "id": "9702-2024-on-43-q01", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_43.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_43.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2024-on-43-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2024-on-43-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-43-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_43.pdf?download=true", "source_pages": [ 6 ], "marks": 12 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:5)(cid:44)\n1 (a) State Newton’s law of gravitation.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A planet may be considered as a uniform sphere.\nA satellite is in circular orbit of period T around the planet at a height h above the surface.\nNIGRAM\nThe height of the orbit can be adjusted by use of the satellite’ s rocket engines.\n2\n. Fig. 1.1 shows the variation with h of T SIHT 3\nNI\n1600\nETIRW\nTON\nOD\n1200\n2 2\nT /s\n3 3\nNIGRAM\n800\nSIHT\nNI\n400 ETIRW\nTON\nOD\n0\n0 2 4 6 8 10 12\n106 / m h\nNIGRAM\nFig. 1.1\nSIHT\n(i) By reference to forces, explain why the orbit of the satellite is circular.\nNI\n........................................................................................................................................... ETIRW\n........................................................................................................................................... TON\nOD\n..................................................................................................................................... [2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:249)(cid:184)(cid:256)(cid:215)\n© UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:191)(cid:251)(cid:216)(cid:288)(cid:255)(cid:278)(cid:227)(cid:244)(cid:263)(cid:268)(cid:261)(cid:281)(cid:209)(cid:177)(cid:280)(cid:258) OD\n(cid:293)(cid:213)(cid:245)(cid:213)(cid:245)(cid:181)(cid:229)(cid:181)(cid:293)(cid:293)(cid:245)(cid:197)(cid:261)(cid:277)(cid:261)(cid:181)(cid:197)(cid:213)\nNIGRAM\n5\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n(ii) Use Newton’s law of gravitation to show that h and T are related by\nSIHT\nGA\nB)3 2 NI = T (h +\n4π2\nETIRW\nwhere G is the gravitational constant and A and B are constants that depend on the\nTON properties of the planet.\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\n[3]\n(iii) Use the gradient and intercept of the line in Fig. 1.1 to determine values for A and B.\nGive units with your answers.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nA = ....................................... unit ..................\nNI\nETIRW\nB = ....................................... unit ..................\n[5]\nTON\nOD [Total: 12]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:184)(cid:256)(cid:215) [Turn over © U" }, { "id": "9702-2024-on-43-q02", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 2, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_43.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_43.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2024-on-43-q02-p01.png", "9702-topic-14-temperature/assets/9702-2024-on-43-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-43-q02", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_43.pdf?download=true", "source_pages": [ 7 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n2 (a) Define specific heat capacity.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Two solid blocks X and Y are made from dif ferent metals. The blocks have dif ferent initial\ntemperatures. Block Y is initially at room temperature.\nNIGRAM\nThe blocks are placed in direct thermal contact with each other at time t = 0. Fig. 2.1 shows\nthe variation with t of the temperatures of the two blocks.\nSIHT\n100\nNI\nETIRW\nTON\n75\nX\nOD\ntemperature / °C\n50\nNIGRAM\nSIHT\nY 25 NI\nETIRW\nTON\n0\nOD\n0 0.5 1.0 1.5 2.0 2.5 3.0\n/ min t\nNIGRAM Fig. 2.1\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:251)(cid:181)(cid:254)(cid:215)\n© UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:191)(cid:252)(cid:211)(cid:292)(cid:299)(cid:288)(cid:206)(cid:257)(cid:267)(cid:184)(cid:177)(cid:281)(cid:296)(cid:281)(cid:280)(cid:258) OD\n(cid:293)(cid:261)(cid:229)(cid:277)(cid:181)(cid:245)(cid:197)(cid:245)(cid:181)(cid:245)(cid:261)(cid:197)(cid:197)(cid:245)(cid:197)(cid:181)(cid:261)(cid:213)\nNIGRAM\n7\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44)\n(i) State three conclusions that may be drawn from Fig. 2.1. The conclusions may be\nSIHT\nqualitative or quantitative.\nNI\nETIRW\n1 ........................................................................................................................................\nTON ...........................................................................................................................................\nOD\n2 ........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n3 ........................................................................................................................................\nSIHT ...........................................................................................................................................\n[3]\nNI\nETIRW\nmass of block Y\nis equal to 1.3. (ii) The ratio\nmass of block X\nTON\nkg–1 K–1. The metal in block Y has a specific heat capacity of 901 J\nOD\nDetermine the specific heat capacity of the metal in block X.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nkg–1 K–1 [3] specific heat " }, { "id": "9702-2024-on-43-q03", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_43.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_43.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2024-on-43-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2024-on-43-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-43-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_43.pdf?download=true", "source_pages": [ 8 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44)\n3 (a) (i) State what is meant by the Avogadro constant.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\n..................................................................................................................................... [1]\nOD\n, the molar gas constant R and (ii) State the relationship between the Avogadro constant N\nA\nthe Boltzmann constant k.\nNIGRAM\nSIHT\nNI\n[1]\nETIRW\n(b) Two samples X and Y of ideal gases are both at thermodynamic temperature T.\nTON\nOD Sample X has volume V and consists of N molecules, each of mass m.\nSample Y has volume 2V and consists of 2N molecules, each of mass 2m.\n(i) Complete Table 3.1 by giving expressions, in terms of some or all of N, m, T, V and the\nNIGRAM constants in (a)(ii), for the quantities indicated.\nTable 3.1\nSIHT\nNI sample X sample Y\nETIRW\npressure TON\nOD\namount of\nsubstance\nNIGRAM\nmean-square speed\nof molecules\nSIHT\nNI\nETIRW\ninternal energy\nTON\n[4]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:181)(cid:256)(cid:215)\n© UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:192)(cid:250)(cid:219)(cid:288)(cid:277)(cid:281)(cid:208)(cid:249)(cid:237)(cid:250)(cid:199)(cid:189)(cid:274)(cid:265)(cid:272)(cid:258) OD\n(cid:293)(cid:181)(cid:261)(cid:213)(cid:181)(cid:277)(cid:229)(cid:181)(cid:197)(cid:229)(cid:229)(cid:197)(cid:261)(cid:277)(cid:261)(cid:245)(cid:261)(cid:213)\nNIGRAM\n9\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:10)(cid:44)\n(ii) The temperature of sample X is now varied.\nSIHT\nNI On Fig. 3.1, sketch the variation with thermodynamic temperature of the root-mean-\nETIRW\nsquare (r.m.s.) speed of the molecules of the gas.\nTON\nOD\nr.m.s. speed\nNIGRAM\nSIHT\n0 NI\n0\nETIRW\nthermodynamic temperature\nTON\nFig. 3.1\nOD\n[2]\n[Total: 8]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:249)(cid:181)(cid:256)(cid:215) [Turn over © UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:191)(cid:249)(cid:211)(cid:298)(cid:281)(cid:297)(cid:233)(cid:255)(cid:260)(cid:175)(cid:275)(cid:181)(cid:198)(cid:265)(cid:288)(cid:258) OD\n(cid:293)(cid:181)(cid:245)(cid:277)(cid:245)(cid:245)(cid:197)(cid:213)(cid:213)(cid:213)(cid:245)(cid:197)(cid:261)(cid:245)(cid:293)(cid:181)(cid:277)(cid:213)" }, { "id": "9702-2024-on-43-q04", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_43.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_43.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2024-on-43-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2024-on-43-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-43-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_43.pdf?download=true", "source_pages": [ 9 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:1)(cid:44)\n4 (a) State what is meant by simple harmonic motion.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A block is suspended from a spring, as shown in Fig. 4.1.\nNIGRAM\nspring\nSIHT\nNI\nETIRW\nblock\nTON\nOD h\nfloor\nNIGRAM\nFig. 4.1\nThe block is pulled down and released at time t = 0. It then oscillates vertically with simple\nSIHT\nharmonic motion.\nNI\nETIRW\nFig. 4.2 shows the variation of the velocity v of the block with height h of the base of the block\nabove the floor.\nTON\n10\nOD\ns–1 v / cm\n5 NIGRAM\nSIHT\nNI 0\nETIRW 10 0 2 4 6 8 12\n/ cm h\nTON\nOD –5\nNIGRAM\n–10\nSIHT Fig. 4.2\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:183)(cid:254)(cid:215)\n© UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:189)(cid:250)(cid:210)(cid:286)(cid:269)(cid:255)(cid:210)(cid:242)(cid:246)(cid:212)(cid:235)(cid:191)(cid:246)(cid:177)(cid:296)(cid:258) OD\n(cid:293)(cid:293)(cid:293)(cid:277)(cid:181)(cid:277)(cid:261)(cid:181)(cid:293)(cid:277)(cid:229)(cid:261)(cid:261)(cid:181)(cid:261)(cid:245)(cid:181)(cid:213)\nNIGRAM\n11\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)\n(i) Determine the amplitude, in cm, of the oscillations.\nSIHT\nNI\nETIRW\nTON amplitude = ....................................................cm [1]\nOD\ns–1. (ii) Show that the angular frequency of the oscillations is 3.2 rad\nNIGRAM\nSIHT\nNI\n[2]\nETIRW\n(iii) Calculate the period T of the oscillations.\nTON\nOD\nNIGRAM\nT = .......................................................s [2]\nSIHT\n(iv) On Fig. 4.3, sketch the variation of h with time t from t = 0 to t = 6.0 s.\nNI\nETIRW 10.0\nTON h / cm\nOD\n7.5\nNIGRAM\n5.0\nSIHT\nNI\nETIRW\n2.5\nTON\nOD\n0\n0 1 2 3 4 5 6\n/ s t\nNIGRAM\nFig. 4.3\nSIHT\n[4]\nNI\nETIRW\n[Total: 11]\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:249)(cid:183)(cid:254)(cid:215) [Turn over © UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:190)(cid:249)(cid:218)(cid:300)(cid:273)(cid:239)(cid:231)(cid:264)(cid:267)(cid:277)(cid:239)(cid:183)(cid:226)(cid:177)(cid:280)(cid:258) OD\n(cid:293)(cid:293)(cid:277)(cid:213)(cid:245)(cid:245)(cid:293)(cid:213)(cid:245)(cid:293)(cid:245)(cid:261)(cid:261)(cid:213)(cid:293)(cid:181)(cid:229)(cid:213)" }, { "id": "9702-2024-on-43-q05", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 5, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_43.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_43.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2024-on-43-q05-p01.png", "9702-topic-18-electric-fields/assets/9702-2024-on-43-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-43-q05", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_43.pdf?download=true", "source_pages": [ 10 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44)\n5 (a) State the relationship between electric field and electric potential.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Two charged isolated insulating spheres X and Y are near to each other, as shown in Fig. 5.1.\nX Y\nNIGRAM\nP\nSIHT\nNI\nETIRW\nFig. 5.1\nTON\nP is a point on the line joining the centres of the spheres.\nOD\nExplain why it is not possible for the total electric potential and the resultant electric field to\nsimultaneously be zero at point P.\n................................................................................................................................................... NIGRAM\n...................................................................................................................................................\nSIHT\n................................................................................................................................................... NI\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [3]\nOD\n(c) The magnitudes of the charges on spheres X and Y in Fig. 5.1 are Q and 2Q respectively.\nThe spheres may be considered as point charges at their centres.\nNIGRAM\nPoint P is a distance x from the centre of sphere X.\nThe electric potential at point P is zero.\nSIHT\nNI (i) Show that the distance y of point P from the centre of sphere Y is equal to 2x.\nETIRW\nTON\nOD\n[2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:183)(cid:256)(cid:215)\n© UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:190)(cid:252)(cid:218)(cid:290)(cid:291)(cid:250)(cid:212)(cid:266)(cid:260)(cid:270)(cid:205)(cid:283)(cid:260)(cid:225)(cid:288)(cid:258) OD\n(cid:293)(cid:213)(cid:197)(cid:213)(cid:181)(cid:245)(cid:293)(cid:245)(cid:277)(cid:197)(cid:261)(cid:261)(cid:197)(cid:213)(cid:197)(cid:181)(cid:181)(cid:213)\nNIGRAM\n13\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44)\n(ii) State an expression, in terms of Q, x and the permittivity of free space ε, for the electric\nSIHT 0\nat P due to sphere X. field strength E\nX\nNI\nETIRW\nTON\nOD\n= ..............................................." }, { "id": "9702-2024-on-43-q06", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 6, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_43.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_43.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2024-on-43-q06-p01.png", "9702-topic-21-alternating-currents/assets/9702-2024-on-43-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-43-q06", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_43.pdf?download=true", "source_pages": [ 11 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:5)(cid:44)\n6 (a) (i) State what is meant by rectification of an alternating voltage.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n..................................................................................................................................... [1]\nTON\n(ii) State the difference between half-wave rectification and full-wave rectification.\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [2]\nSIHT\n(b) (i) Complete Fig. 6.1 to show a circuit that produces half-wave rectification of an alternating\nNI\nto produce output voltage V across the resistor R. input voltage V\nETIRW IN OUT\nTON\nOD\nV V R C\nIN OUT\nNIGRAM\nSIHT\nNI\nFig. 6.1\nETIRW\n[2]\nTON\nOD (ii) State the purpose of the capacitor C in the circuit of Fig. 6.1.\n...........................................................................................................................................\nNIGRAM ..................................................................................................................................... [1]\nin Fig. 6.1 is a square wave. Fig. 6.2 shows the variation of V with (c) The input voltage V\nIN IN SIHT\ntime t.\nNI\nETIRW +12\nTON / V V\nIN\nOD\n0\n0 0.01 0.02 0.03 0.04\nt / s\nNIGRAM\n–12\nSIHT\nFig. 6.2\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:182)(cid:258)(cid:215)\n© UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:190)(cid:249)(cid:211)(cid:298)(cid:276)(cid:242)(cid:215)(cid:250)(cid:250)(cid:248)(cid:229)(cid:186)(cid:212)(cid:273)(cid:280)(cid:258) OD\n(cid:293)(cid:245)(cid:181)(cid:213)(cid:181)(cid:245)(cid:197)(cid:181)(cid:293)(cid:229)(cid:213)(cid:197)(cid:261)(cid:245)(cid:261)(cid:181)(cid:245)(cid:213)\nNIGRAM\n15\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44)\nFig. 6.3 shows the variation of V with t.\nSIHT OUT\n12 NI\nETIRW\nV / V\nOUT TON\n8 OD\nNIGRAM\n4\nSIHT\nNI\n0\nETIRW\n0 0.01 0.02 0.03 0.04\n/ s t\nTON\nOD Fig. 6.3\nThe maximum energy stored in the capacitor is 0.041 J.\nNIGRAM μF. (i) Show that the capacitance of C is 570\nSIHT\nNI\nETIRW\nTON\nOD\n[2]\n(ii) Determine the resistance of R.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nresistance = ..................................................... Ω [3]\nNIGRAM [Total: 11]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207" }, { "id": "9702-2024-on-43-q07", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 7, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_43.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2024-on-43-q07-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2024-on-43-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2024-on-43-q07", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_43.pdf?download=true", "source_pages": [ 12 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44)\n7 (a) Define magnetic flux density.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A long, straight wire carries a current into the page, as shown in Fig. 7.1.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nFig. 7.1\nTON\nOn Fig. 7.1, draw four field lines to represent the magnetic field around the wire due to the\nOD\ncurrent in it. [3]\n(c) Two identical wires X and Y are placed parallel to each other . The wires both carry current\ninto the page, as shown in Fig. 7.2.\nNIGRAM\nSIHT\nNI\nX Y\nETIRW\nTON\nOD\nFig. 7.2 NIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:182)(cid:260)(cid:215)\n© UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:189)(cid:251)(cid:219)(cid:294)(cid:286)(cid:263)(cid:213)(cid:258)(cid:256)(cid:186)(cid:211)(cid:286)(cid:230)(cid:257)(cid:272)(cid:258) OD\n(cid:293)(cid:197)(cid:277)(cid:277)(cid:181)(cid:277)(cid:229)(cid:245)(cid:277)(cid:245)(cid:245)(cid:197)(cid:197)(cid:277)(cid:197)(cid:245)(cid:245)(cid:213)\nNIGRAM\n17\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44)\n(i) Explain why the two wires exert a magnetic force on each other.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\n...........................................................................................................................................\nOD\n..................................................................................................................................... [2]\n(ii) On Fig. 7.2, draw an arrow to show the direction of the magnetic force exerted on wire X .\nNIGRAM\nLabel your arrow F. [1]\nSIHT (iii) The current in X is double the current in Y.\nNI\nState how the magnetic force exerted on wire Y compares with the magnetic force\nETIRW\nexerted on wire X.\nTON\n...........................................................................................................................................\nOD\n...........................................................................................................................................\n................................................................" }, { "id": "9702-2024-on-43-q08", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_43.pdf?download=true", "source_pages": [ 18, 19, 20 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_43.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2024-on-43-q08-p01.png", "9702-topic-22-quantum-physics/assets/9702-2024-on-43-q08-p02.png", "9702-topic-22-quantum-physics/assets/9702-2024-on-43-q08-p03.png" ], "answer": { "status": "available", "id": "9702-2024-on-43-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_43.pdf?download=true", "source_pages": [ 13 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:9)(cid:44)\n8 A polished sheet of magnesium in a vacuum emits electrons when it is illuminated by ultraviolet\nSIHT\nradiation.\nNI\nETIRW\n(a) State the name of this phenomenon.\nTON ............................................................................................................................................. [1]\nOD\n(b) For emission of electrons to occur, the frequency of the ultraviolet radiation must be at least\n1014 Hz. 8.8 ×\n(i) Calculate the work function energy of magnesium.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD work function energy = ...................................................... J [2]\n1014 Hz, calculate the maximum speed (ii) For ultraviolet radiation with a frequency of 1 1 ×\nof the emitted electrons.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 [3] maximum speed = ................................................ m\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:184)(cid:258)(cid:215)\n© UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:192)(cid:251)(cid:210)(cid:296)(cid:294)(cid:273)(cid:219)(cid:265)(cid:263)(cid:276)(cid:175)(cid:288)(cid:194)(cid:185)(cid:296)(cid:258) OD\n(cid:293)(cid:277)(cid:245)(cid:213)(cid:181)(cid:277)(cid:261)(cid:245)(cid:181)(cid:197)(cid:245)(cid:261)(cid:197)(cid:181)(cid:197)(cid:245)(cid:197)(cid:213)\nNIGRAM\n19\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:10)(cid:44)\n(c) The frequency f of the ultraviolet radiation incident on the magnesium sheet is varied between\nSIHT\n1014 1014 Hz and 11 × Hz. 8.0 ×\nNI\nETIRW\nof the emitted On Fig. 8.1, sketch the variation with f of the maximum kinetic energy E\nMAX\nelectrons. Use the space below for any working that you need.\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n2.0\nTON\nOD\n1.5\nNIGRAM 10–19 / J E\nMAX\n1.0 SIHT\nNI\nETIRW\n0.5\nTON\nOD\n0\n8.0 8.5 9.0 9.5 10.0 10.5 11.0\nNIGRAM\n1014 f / Hz\nSIHT\nFig. 8.1\nNI\nETIRW [3]\nTON [Total: 9]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:252)(cid:184)(cid:258)(cid:215) [Turn over © UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:191)(cid:252)(cid:218)(cid:290)(cid:298)(cid:289)(cid:222)(cid:239)(cid:250)(cid:213)(cid:299)(cid:280)(cid:278)(cid:185)(cid:280)(cid:258) OD\n(cid:293)(cid:277)(cid:261)(cid:277)(cid:245)(cid:245)(cid:293)(cid:277)(cid:229)(cid:181)(cid:229)(cid:261)(cid:197)(cid:213)(cid:229)(cid:181)(cid:213)(cid:213)\nNIGRAM\n20\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:1)(cid:44)\nBLANK PAGE\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:2" }, { "id": "9702-2024-on-43-q09", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 9, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_43.pdf?download=true", "source_pages": [ 21 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_43.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2024-on-43-q09-p01.png" ], "answer": { "status": "available", "id": "9702-2024-on-43-q09", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_43.pdf?download=true", "source_pages": [ 14 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:2)(cid:44)\n18 (β+) F) decays by beta-plus emission with a half-life of 110 minutes. 9 Fluorine-18 ( SIHT\n9\nNI\n(a) (i) State the name of the beta-plus particle.\nETIRW\n..................................................................................................................................... [1]\nTON\n10–4 s–1. (ii) Show that the decay constant of fluorine-18 is 1.05 × OD\nNIGRAM\nSIHT\n[1]\nNI\n10–12 kg of fluorine-18. (iii) Determine the activity of 2.1 × ETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI activity = .................................................... Bq [3]\nETIRW\n(b) A small sample of fluorine-18 injected into the body acts as a tracer for use in medical imaging.\nTON\n+ particle with an electron in the body enables the (i) Describe how the interaction of a β\nOD\nformation of an image.\n...........................................................................................................................................\nNIGRAM\n...........................................................................................................................................\nSIHT ...........................................................................................................................................\nNI\n...........................................................................................................................................\nETIRW\n..................................................................................................................................... [3]\nTON\nOD (ii) Suggest why 110 minutes is a suitable half-life for a nuclide used as a tracer in medical\ndiagnosis.\n...........................................................................................................................................\nNIGRAM\n...........................................................................................................................................\nSIHT\n..................................................................................................................................... [2]\nNI\nETIRW [Total: 10]\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:184)(cid:260)(cid:215) [Turn over © UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:192)(cid:250)(cid:210)(cid:286)(cid:280)(cid:280)(cid:224)(cid:263)(cid:256)(cid:283)(cid:269)(cid:196)(cid:292)(cid:233)(cid:272)(cid:258) OD\n(cid:293)(cid:229)(cid:229)(cid:213)(cid:245)(cid:277)(cid:261)(cid:213)(cid:213)(cid:293)(cid:261)(cid:261)(cid:261)(cid:181)(cid:293)(cid:245)(cid:213)(cid:213)" }, { "id": "9702-2024-on-43-q10", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_43.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_43.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-on-43-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-on-43-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2024-on-43-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2024-on-43-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_43.pdf?download=true", "source_pages": [ 15 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:3)(cid:44)\n10 (a) Explain how redshift leads to the idea that the Universe is expanding.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n...................................................................................................................................................\nOD\n...................................................................................................................................................\n............................................................................................................................................. [3]\nNIGRAM\n(b) Stars in a distant galaxy emit radiation. The total luminosity of the stars in the galaxy is\n1036 W. 1.90 × SIHT\nThe emission spectrum of the radiation contains a line X at a wavelength of 658 nm.\nNI\nETIRW\nRadiation from the galaxy is observed on the Earth. The observed radiation has a radiant flux\n10–16 m–2. W In the observed emission spectrum, line X is at a wavelength intensity of 8.42 ×\nTON\nof 726 nm.\nOD\nDetermine:\n(i) the distance d of the galaxy from the Earth\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nd = ..................................................... m [2]\n(ii) the speed v of the galaxy relative to the Earth.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 [2] v = ................................................ m\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:181)(cid:258)(cid:215)\n© UCLES 2024 9702/43/O/N/24 (cid:300)(cid:224)(cid:191)(cid:250)(cid:205)(cid:296)(cid:240)(cid:270)(cid:232)(cid:260)(cid:237)(cid:290)(cid:237)(cid:188)(cid:257)(cid:257)(cid:288)(cid:258) OD\n(cid:293)(cid:245)(cid:261)(cid:213)(cid:245)(cid:181)(cid:261)(cid:245)(cid:277)(cid:261)(cid:229)(cid:261)(cid:197)(cid:181)(cid:197)(cid:181)(cid:261)(cid:213)\nNIGRAM\n23\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:4)(cid:44)\n(c) Observations of many galaxies, such as the one in (b), lead to many pairs of values of d and\nSIHT\nv. Plotting these values reveals a trend.\nNI\nETIRW\n(i) On Fig. 10.1, sketch the variation of v with d.\nTON\nOD\nv\nNIGRAM\nSIHT\n0 NI\n0\nETIRW\nd\nTON\nFig. 10.1\nOD\n[2]\n(ii) State the name of the quantity represented by the gradient of the line in Fig. 10.1.\nNIGRAM\n..................................................................................................................................... [1]\nSIHT\n[Total: 10]\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(c" }, { "id": "9702-2024-on-51-q01", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "51", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_51.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-on-51-q01-p01.png", "9702-practical-skills/assets/9702-2024-on-51-q01-p02.png", "9702-practical-skills/assets/9702-2024-on-51-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2024-on-51-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_51.pdf?download=true", "source_pages": [ 5, 6, 7 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:44)\n1 A thin cylindrical bar magnet of length L and cross-sectional area A is attached to a block.\nSIHT\nAn identical magnet is attached to a trolley, as shown in Fig. 1.1.\nNI\nETIRW\ns D\nL\nTON\nN N\nbench OD\nP\nblock magnets trolley\nNIGRAM\nFig. 1.1\nSIHT\nThe trolley is held so that the separation of the N poles of the two magnets is s.\nNI\nETIRW\nPoint P is a distance D from the N pole of the magnet on the stationary trolley.\nTON\nThe trolley is released. The speed v of the trolley at point P is determined using one light gate.\nOD\nIt is suggested that v is related to s by the relationship\nmv2 KA2B2L2\n= - Q\n2D s4\nNIGRAM\nwhere B is the magnetic flux density at the N pole of one of the magnets, m is the mass of the\ntrolley, and K and Q are constants.\nSIHT\nPlan a laboratory experiment to test the relationship between v and s. NI\nETIRW\nDraw a diagram showing the arrangement of your equipment.\nTON\nExplain how the results could be used to determine values for K and Q.\nOD\nIn your plan you should include:\n● the procedure to be followed\nNIGRAM\n● the measurements to be taken\nSIHT\n● the control of variables\nNI\nETIRW ● the analysis of the data\n● any safety precautions to be taken. TON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:249)(cid:183)(cid:254)(cid:215)\n© UCLES 2024 9702/51/O/N/24 (cid:300)(cid:223)(cid:298)(cid:241)(cid:206)(cid:286)(cid:290)(cid:270)(cid:227)(cid:238)(cid:262)(cid:294)(cid:236)(cid:179)(cid:199)(cid:282)(cid:284)(cid:258) OD\n(cid:293)(cid:261)(cid:197)(cid:277)(cid:181)(cid:213)(cid:261)(cid:213)(cid:245)(cid:293)(cid:293)(cid:197)(cid:261)(cid:213)(cid:229)(cid:213)(cid:277)(cid:213)\nNIGRAM\n3\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:4)(cid:44)\nDiagram\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW ..................................................................................................................................................................\n.................................................................................................................................................................. TON\nOD\n..................................................................................................................................................................\n..................................................................................................................................................................\nNIGRAM\n..................................................................................................................................................................\n......................................................................................................................................." }, { "id": "9702-2024-on-51-q02", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "51", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_51.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-on-51-q02-p01.png", "9702-practical-skills/assets/9702-2024-on-51-q02-p02.png", "9702-practical-skills/assets/9702-2024-on-51-q02-p03.png", "9702-practical-skills/assets/9702-2024-on-51-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2024-on-51-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_51.pdf?download=true", "source_pages": [ 8, 9, 10, 11 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n2 A student investigates an electrical circuit. A power supply of electromotive force (e.m.f.) E and\nSIHT s\nnegligible internal resistance is connected in series to three resistors, each of resistance Z.\nNI\nETIRW\nA cell, an ammeter and a resistor of resistance R are connected in parallel across one of these\nresistors, as shown in Fig. 2.1.\nTON\nE OD + – s\nNIGRAM\nZ Z Z\nSIHT\nNI\nA\nETIRW\nR\nTON\nOD\nFig. 2.1\nThe current I is measured by the ammeter for different values of R.\nNIGRAM\nIt is suggested that I and R are related by the equation\nSIHT\n= I(3R + 2Z) 3E – E\nNI s\nETIRW\nwhere E is the e.m.f. of the cell.\n1 TON\non the y-axis against R on the x-axis. (a) A graph is plotted of\nI\nOD\nDetermine expressions for the gradient and y-intercept.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ngradient = ...............................................................\nSIHT\ny-intercept = ...............................................................\nNI\n[1]\nETIRW\nTON\n(cid:300)(cid:207)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:183)(cid:256)(cid:215) [Turn over © UCLES 2024 9702/51/O/N/24 (cid:300)(cid:223)(cid:298)(cid:244)(cid:206)(cid:296)(cid:276)(cid:283)(cid:216)(cid:244)(cid:253)(cid:285)(cid:266)(cid:271)(cid:293)(cid:266)(cid:292)(cid:258) OD\n(cid:293)(cid:181)(cid:277)(cid:277)(cid:245)(cid:213)(cid:261)(cid:245)(cid:277)(cid:197)(cid:277)(cid:197)(cid:197)(cid:213)(cid:261)(cid:213)(cid:261)(cid:213)\nNIGRAM\n6\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n(b) Values of R and I are given in Table 2.1.\nSIHT\nNI Table 2.1\nETIRW\n1 TON R / kΩ I / μA A–1 /\nI\nOD\n1.50 194 ± 2\nNIGRAM 1.75 180 ± 2\nSIHT\n1.92 172 ± 2\nNI\nETIRW\n2.22 160 ± 2\nTON\n2.48 150 ± 2 OD\n2.72 144 ± 2\nNIGRAM\n1\nA–1 in Table 2.1. / Calculate and record values of\nI\nSIHT\n1\nInclude the absolute uncertainties in . [2]\nI NI\n1 1 ETIRW\nA–1 against R / kΩ. Include error bars for / . [2] (c) (i) Plot a graph of\nI I\nTON\n(ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Label\nboth lines. [2] OD\n(iii) Determine the gradient of the line of best fit. Include the absolute uncertainty in your\nanswer.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM gradient = ......................................................... [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:182)(cid:254)(cid:215)\n© UCLES 2024 9702/51/O/N/24 (cid:300)(cid:223)(cid:297)(cid:244)(cid:209)(cid:286)(cid:252)(cid:273)(cid:208)(cid:247)(cid:240)(cid:280)(cid:298)(cid:295)(cid:264)(cid:226)(cid:276)(cid:258) OD\n(cid:293)(cid:293)(cid:181)(cid:277)(cid:245)(cid:245)(cid:261)(cid:213)(cid:213)(cid:229)(cid:181)(cid:197)(cid:261)(cid:213)(cid:229)(cid:277)(cid:213)(cid:213)\nNIGR" }, { "id": "9702-2024-on-52-q01", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-on-52-q01-p01.png", "9702-practical-skills/assets/9702-2024-on-52-q01-p02.png", "9702-practical-skills/assets/9702-2024-on-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2024-on-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_52.pdf?download=true", "source_pages": [ 5, 6, 7 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:44)\n1 Fig. 1.1 shows a coil made from resistance wire.\nSIHT\nNI\nETIRW\nTON\nOD\nFig. 1.1\nThe coil is placed in cooking oil of mass m. The total length of the resistance wire in the oil is L.\nNIGRAM\nΔθ in time t. A potential difference V is applied to the coil. The temperature of the oil increases by\nΔθ is related to L by the relationship It is suggested that\nSIHT\n2 AtV\nNI mKΔθ + Z =\nL ETIRW\nwhere A is the cross-sectional area of the wire, and K and Z are constants.\nTON\nΔθ and L. Plan a laboratory experiment to test the relationship between\nOD\nDraw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for K and Z.\nNIGRAM\nIn your plan you should include:\nSIHT\nthe procedure to be followed ●\nNI\nETIRW\nthe measurements to be taken ●\nTON the control of variables ●\nOD\nthe analysis of the data ●\nany safety precautions to be taken. ●\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:252)(cid:183)(cid:254)(cid:215)\n© UCLES 2024 9702/52/O/N/24 (cid:300)(cid:224)(cid:203)(cid:241)(cid:214)(cid:288)(cid:269)(cid:252)(cid:225)(cid:255)(cid:266)(cid:243)(cid:250)(cid:273)(cid:222)(cid:249)(cid:280)(cid:258) OD\n(cid:293)(cid:293)(cid:261)(cid:277)(cid:245)(cid:245)(cid:229)(cid:277)(cid:277)(cid:261)(cid:181)(cid:261)(cid:197)(cid:277)(cid:261)(cid:181)(cid:213)(cid:213)\nNIGRAM\n3\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:4)(cid:44)\nDiagram\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n.................................................................................................................................................................. TON\nOD\n..................................................................................................................................................................\n..................................................................................................................................................................\nNIGRAM\n..................................................................................................................................................................\n..................................................................................................................................................................\nSIHT\nNI ..................................................................................................................................................................\nETIRW\n..................................................................................................................................................................\nTON\n..........................................................." }, { "id": "9702-2024-on-52-q02", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-on-52-q02-p01.png", "9702-practical-skills/assets/9702-2024-on-52-q02-p02.png", "9702-practical-skills/assets/9702-2024-on-52-q02-p03.png", "9702-practical-skills/assets/9702-2024-on-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2024-on-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_52.pdf?download=true", "source_pages": [ 8, 9, 10 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n2 A student investigates the refraction of white light entering a transparent rectangular block. A\nSIHT\nnarrow beam of light enters the block at the midpoint of one of the shorter sides. The angle of\nNI θ is measured, as shown in Fig. 2.1. incidence\nETIRW\nblock\nTON\nbeam of light\nOD\nθ NIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nd\nFig. 2.1 (not to scale)\nNIGRAM\nThe distance d between the corner of the block and the point where the beam of light touches the\nboundary of the block is measured.\nSIHT\nθ. The experiment is repeated for different values of\nNI\nETIRW\nθ are related by the equation It is suggested that d and\nTON sin2 B θ\n=\n2 n2 B + d OD\nwhere B and n are constants.\n1\n2 on the y-axis against on the x-axis. (a) A graph is plotted of d\nsin2 θ NIGRAM\nDetermine expressions for the gradient and y-intercept.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\ngradient = ...............................................................\nNI\nETIRW\ny-intercept = ...............................................................\n[1]\nTON\n(cid:300)(cid:207)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:183)(cid:256)(cid:215) [Turn over © UCLES 2024 9702/52/O/N/24 (cid:300)(cid:224)(cid:203)(cid:244)(cid:214)(cid:294)(cid:287)(cid:237)(cid:214)(cid:257)(cid:257)(cid:252)(cid:220)(cid:173)(cid:256)(cid:297)(cid:288)(cid:258) OD\n(cid:293)(cid:213)(cid:213)(cid:277)(cid:181)(cid:245)(cid:229)(cid:181)(cid:245)(cid:229)(cid:197)(cid:261)(cid:261)(cid:277)(cid:229)(cid:181)(cid:197)(cid:213)\nNIGRAM\n6\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n1\nSIHT (b) Values of θ, and d are given in Table 2.1.\nsin2 θ\nNI\nTable 2.1 ETIRW\nTON 1\n2 cm2 θ / ° d / cm d /\nsin2 θ OD\n28.5 4.39 24.8 ± 0.2\nNIGRAM\n33.5 3.28 21.4 ± 0.2\nSIHT\n42.5 2.19 17.1 ± 0.2\nNI\nETIRW\n50.0 1.70 14.7 ± 0.2\nTON\nOD\n57.5 1.41 12.9 ± 0.2\n63.5 1.25 11.8 ± 0.2\nNIGRAM\n2 cm2 Calculate and record values of d / in Table 2.1. SIHT\n2. [2] Include the absolute uncertainties in d\nNI\nETIRW 1\n2. 2 cm2 . Include error bars for d [2] / against (c) (i) Plot a graph of d\nsin2 θ\nTON\n(ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Label\nboth lines. [2] OD\n(iii) Determine the gradient of the line of best fit. Include the absolute uncertainty in your\nanswer.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ngradient = ......................................................... [2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:250)(cid:182)(cid:254)(cid:215)\n© UCLES 2024 9702/52/O/N/24 (cid:300)(cid:224)(cid:204)(cid:244)(cid:217)(cid:288)(cid:263)(cid:247)(cid:206)(cid:262)(cid:244)(cid:257)(cid:188)(cid:197)(cid:285)(cid:193)(cid:272)(cid:258) OD\n(cid:293)(cid:261)(cid:245)(cid:277)(cid:181)(" }, { "id": "9702-2024-on-53-q01", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "53", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_53.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-on-53-q01-p01.png", "9702-practical-skills/assets/9702-2024-on-53-q01-p02.png", "9702-practical-skills/assets/9702-2024-on-53-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2024-on-53-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_53.pdf?download=true", "source_pages": [ 5, 6, 7 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:44)\n1 A thin cylindrical bar magnet of length L and cross-sectional area A is attached to a block.\nSIHT\nAn identical magnet is attached to a trolley, as shown in Fig. 1.1.\nNI\nETIRW\ns D\nL\nTON\nN N\nbench OD\nP\nblock magnets trolley\nNIGRAM\nFig. 1.1\nSIHT\nThe trolley is held so that the separation of the N poles of the two magnets is s.\nNI\nETIRW\nPoint P is a distance D from the N pole of the magnet on the stationary trolley.\nTON\nThe trolley is released. The speed v of the trolley at point P is determined using one light gate.\nOD\nIt is suggested that v is related to s by the relationship\nmv2 KA2B2L2\n= - Q\n2D s4\nNIGRAM\nwhere B is the magnetic flux density at the N pole of one of the magnets, m is the mass of the\ntrolley, and K and Q are constants.\nSIHT\nPlan a laboratory experiment to test the relationship between v and s. NI\nETIRW\nDraw a diagram showing the arrangement of your equipment.\nTON\nExplain how the results could be used to determine values for K and Q.\nOD\nIn your plan you should include:\n● the procedure to be followed\nNIGRAM\n● the measurements to be taken\nSIHT\n● the control of variables\nNI\nETIRW ● the analysis of the data\n● any safety precautions to be taken. TON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:183)(cid:254)(cid:215)\n© UCLES 2024 9702/53/O/N/24 (cid:300)(cid:228)(cid:198)(cid:250)(cid:217)(cid:291)(cid:258)(cid:259)(cid:230)(cid:244)(cid:246)(cid:216)(cid:249)(cid:297)(cid:180)(cid:233)(cid:272)(cid:258) OD\n(cid:293)(cid:245)(cid:261)(cid:277)(cid:245)(cid:213)(cid:197)(cid:245)(cid:229)(cid:197)(cid:197)(cid:197)(cid:261)(cid:277)(cid:293)(cid:213)(cid:245)(cid:213)\nNIGRAM\n3\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:4)(cid:44)\nDiagram\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW ..................................................................................................................................................................\n.................................................................................................................................................................. TON\nOD\n..................................................................................................................................................................\n..................................................................................................................................................................\nNIGRAM\n..................................................................................................................................................................\n......................................................................................................................................." }, { "id": "9702-2024-on-53-q02", "subject": "9702", "year": 2024, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "53", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_qp_53.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2024-Oct-Nov/qp/9702_w24_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2024-on-53-q02-p01.png", "9702-practical-skills/assets/9702-2024-on-53-q02-p02.png", "9702-practical-skills/assets/9702-2024-on-53-q02-p03.png", "9702-practical-skills/assets/9702-2024-on-53-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2024-on-53-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2024-Oct-Nov/ms/9702_w24_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2024-Oct-Nov/9702_w24_ms_53.pdf?download=true", "source_pages": [ 8, 9, 10, 11 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n2 A student investigates an electrical circuit. A power supply of electromotive force (e.m.f.) E and\nSIHT s\nnegligible internal resistance is connected in series to three resistors, each of resistance Z.\nNI\nETIRW\nA cell, an ammeter and a resistor of resistance R are connected in parallel across one of these\nresistors, as shown in Fig. 2.1.\nTON\nE OD + – s\nNIGRAM\nZ Z Z\nSIHT\nNI\nA\nETIRW\nR\nTON\nOD\nFig. 2.1\nThe current I is measured by the ammeter for different values of R.\nNIGRAM\nIt is suggested that I and R are related by the equation\nSIHT\n= I(3R + 2Z) 3E – E\nNI s\nETIRW\nwhere E is the e.m.f. of the cell.\n1 TON\non the y-axis against R on the x-axis. (a) A graph is plotted of\nI\nOD\nDetermine expressions for the gradient and y-intercept.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ngradient = ...............................................................\nSIHT\ny-intercept = ...............................................................\nNI\n[1]\nETIRW\nTON\n(cid:300)(cid:207)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:183)(cid:256)(cid:215) [Turn over © UCLES 2024 9702/53/O/N/24 (cid:300)(cid:228)(cid:198)(cid:251)(cid:217)(cid:297)(cid:244)(cid:262)(cid:209)(cid:238)(cid:237)(cid:207)(cid:219)(cid:197)(cid:274)(cid:185)(cid:296)(cid:258) OD\n(cid:293)(cid:197)(cid:213)(cid:277)(cid:181)(cid:213)(cid:197)(cid:213)(cid:197)(cid:293)(cid:181)(cid:197)(cid:197)(cid:277)(cid:197)(cid:213)(cid:293)(cid:213)\nNIGRAM\n6\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n(b) Values of R and I are given in Table 2.1.\nSIHT\nNI Table 2.1\nETIRW\n1 TON R / kΩ I / μA A–1 /\nI\nOD\n1.50 194 ± 2\nNIGRAM 1.75 180 ± 2\nSIHT\n1.92 172 ± 2\nNI\nETIRW\n2.22 160 ± 2\nTON\n2.48 150 ± 2 OD\n2.72 144 ± 2\nNIGRAM\n1\nA–1 in Table 2.1. / Calculate and record values of\nI\nSIHT\n1\nInclude the absolute uncertainties in . [2]\nI NI\n1 1 ETIRW\nA–1 against R / kΩ. Include error bars for / . [2] (c) (i) Plot a graph of\nI I\nTON\n(ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Label\nboth lines. [2] OD\n(iii) Determine the gradient of the line of best fit. Include the absolute uncertainty in your\nanswer.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM gradient = ......................................................... [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:182)(cid:254)(cid:215)\n© UCLES 2024 9702/53/O/N/24 (cid:300)(cid:228)(cid:197)(cid:251)(cid:214)(cid:291)(cid:284)(cid:256)(cid:217)(cid:249)(cid:256)(cid:230)(cid:187)(cid:173)(cid:243)(cid:273)(cid:280)(cid:258) OD\n(cid:293)(cid:277)(cid:245)(cid:277)(cid:181)(cid:245)(cid:197)(cid:245)(cid:261)(cid:261)(cid:277)(cid:197)(cid:261)(cid:277)(cid:293)(cid:277)(cid:181)(cid:213)\nNIGR" }, { "id": "9702-2025-m-42-q01", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 12, "topic": "Motion in a circle", "topic_slug": "9702-topic-12-motion-in-a-circle", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_42.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_42.pdf", "image_paths": [ "9702-topic-12-motion-in-a-circle/assets/9702-2025-m-42-q01-p01.png", "9702-topic-12-motion-in-a-circle/assets/9702-2025-m-42-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2025-m-42-q01", "html": "9702-topic-12-motion-in-a-circle/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_42.pdf?download=true", "source_pages": [ 7 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:5)(cid:44)\n1 A steel ball is placed on the inside surface of a hollow circular cone.T he ball moves in a horizontal\nSIHT\ncircle at constant speed, as shown in Fig. 1.1.\nNI\nETIRW\nTON\nsteel ball\ncone\nOD\npath of\nNIGRAM steel ball\n52° 52°\nSIHT\nNI\nFig. 1.1 ETIRW\nThe angle of the side of the cone to the horizontal is 52°. There is no friction between the ball and\nTON\nthe cone.\nOD\n(a) Fig. 1.2 shows a cross‑section through the cone and the steel ball.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nFig. 1.2\nSIHT\nOn Fig. 1.2, draw labelled arrows to show the two forces acting on the ball. [1]\nNI\nETIRW\n(b) Describe how the forces acting on the ball cause its acceleration to be centripetal.\nTON\n...................................................................................................................................................\nOD\n...................................................................................................................................................\n...................................................................................................................................................\nNIGRAM\n............................................................................................................................................. [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:213)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:183)(cid:256)(cid:215)\n© UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:251)(cid:242)(cid:208)(cid:287)(cid:260)(cid:286)(cid:216)(cid:254)(cid:255)(cid:192)(cid:223)(cid:223)(cid:299)(cid:283)(cid:286)(cid:258) OD\n(cid:293)(cid:277)(cid:293)(cid:277)(cid:181)(cid:181)(cid:261)(cid:277)(cid:229)(cid:277)(cid:293)(cid:197)(cid:197)(cid:277)(cid:261)(cid:245)(cid:277)(cid:213)\nNIGRAM\n5\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n(c) The ball moves in a circle of radius 0.15 m.\nSIHT\ns–1. NI Show that the speed of the ball is 1.4 m\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\n[3]\nω of the ball. (d) Calculate the angular speed\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 ω = .............................................. rad [2]\nNIGRAM\n(e) The speed of the ball is increased.\nExplain why the radius of the circular path of the ball increases.\nSIHT\nNI\nETIRW\n...................................................................................................................................................\nTON\n...................................................................................................................................................\nOD\n............................................................................................................................................. [1]\n[Total: 9]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:215)(cid:266)(cid:190)(cid:288)(cid:180)(cid:23" }, { "id": "9702-2025-m-42-q02", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_42.pdf?download=true", "source_pages": [ 6, 7, 8 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_42.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2025-m-42-q02-p01.png", "9702-topic-18-electric-fields/assets/9702-2025-m-42-q02-p02.png", "9702-topic-18-electric-fields/assets/9702-2025-m-42-q02-p03.png" ], "answer": { "status": "available", "id": "9702-2025-m-42-q02", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_42.pdf?download=true", "source_pages": [ 7, 8 ], "marks": 7 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n2 (a) The magnitude of the gravitational potential on the surface of a planet of radius R is φ.\nSIHT\nThe planet can be considered to be an isolated sphere.\nNI\nETIRW\nOn Fig. 2.1, sketch the variation of the gravitational potential with distance x from the centre\nof the planet for values of x between R and 4R.\nTON\nφ\nOD\ngravitational\n1 φ NIGRAM\npotential 2\nSIHT\nNI 0\nETIRW 0 R 2R 3R 4R\nx\nTON\n–1 φ OD\n2\nNIGRAM\n–φ\nFig. 2.1 SIHT\n[3]\nNI\nETIRW\n(b) A satellite is in a geostationary orbit above the Earth. At time t = 0, the magnitude of the\nφ. gravitational potential due to the Earth at the location of the satellite is\nTON\nOn Fig. 2.2, sketch the variation of the gravitational potential due to the Earth at the location OD\nof the satellite for values of t between t = 0 and t = 24 hours.\n2φ\nNIGRAM\ngravitational\npotential\nSIHT\nφ\nNI\nETIRW\nTON\n0\n0 4 8 12 16 20 24\nOD\nt / hours\n–φ\nNIGRAM\nSIHT\n–2φ\nNI\nETIRW\nFig. 2.2\n[2] TON\n(cid:300)(cid:217)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:249)(cid:182)(cid:254)(cid:215)\n© UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:251)(cid:241)(cid:219)(cid:291)(cid:296)(cid:280)(cid:233)(cid:239)(cid:259)(cid:244)(cid:283)(cid:223)(cid:206)(cid:179)(cid:286)(cid:258) OD\n(cid:293)(cid:197)(cid:181)(cid:213)(cid:245)(cid:245)(cid:293)(cid:213)(cid:245)(cid:261)(cid:277)(cid:197)(cid:261)(cid:245)(cid:197)(cid:245)(cid:213)(cid:213)\nNIGRAM\n7\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44)\n(c) The electric potential difference (p.d.) between two parallel plates is V, as shown in Fig. 2.3.\nSIHT\nNI\n+V ETIRW\nTON\nOD\nd\nNIGRAM\nSIHT\nFig. 2.3\nNI\nETIRW\nThe distance between the plates is d. The region between the plates is a vacuum.\nTON\nOn Fig. 2.4, sketch the variation of the electric potential with distance from the positive plate.\nOD\nV\nelectric NIGRAM\npotential\nSIHT\nNI\nETIRW\nTON\n0\n0 d\nOD\ndistance from\npositive plate\nFig. 2.4 NIGRAM\n[2]\nSIHT [Total: 7]\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:219)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:182)(cid:254)(cid:215) [Turn over © UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:252)(cid:242)(cid:211)(cid:293)(cid:300)(cid:296)(cid:208)(cid:265)(cid:238)(cid:181)(cid:191)(cid:215)(cid:266)(cid:179)(cid:270)(cid:258) OD\n(cid:293)(cid:197)(cid:197)(cid:277)(cid:181)(cid:277)(cid:261)(cid:181)(cid:293)(cid:245)(cid:197)(cid:197)(cid:261)(cid:277)(cid:229)(cid:181)(cid:197)(cid:213)\nNIGRAM\n8\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44)\nBLANK PAGE\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:217)(cid:266)(cid:190)(" }, { "id": "9702-2025-m-42-q03", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_42.pdf?download=true", "source_pages": [ 9, 10, 11 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_42.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2025-m-42-q03-p01.png", "9702-topic-14-temperature/assets/9702-2025-m-42-q03-p02.png", "9702-topic-14-temperature/assets/9702-2025-m-42-q03-p03.png" ], "answer": { "status": "available", "id": "9702-2025-m-42-q03", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 12 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:10)(cid:44)\n3 (a) Two metal cuboids P and Q are in thermal contact with each other.\nSIHT\nNI (i) P and Q are in thermal equilibrium.\nETIRW\nState what is meant by the term thermal equilibrium.\nTON\n...........................................................................................................................................\nOD\n...........................................................................................................................................\n..................................................................................................................................... [2]\nNIGRAM\n(ii) Data for P and Q are given in Table 3.1.\nSIHT\nTable 3.1\nNI\nETIRW\nP Q\nTON\nkg–1 K–1 390 910 specific heat capacity / J\nOD\nmass / kg 0.54 0.37\nP and Q are initially both at the same temperature.\nNIGRAM\nP is supplied with 24 kJ of thermal energy. After some time, P and Q are once again both\nat the same temperature as each other.\nSIHT\nP and Q are perfectly insulated from the surroundings.\nNI\nETIRW\nDetermine the change in temperature ΔT of Q.\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nΔT = ...................................................... K [3]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:219)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:182)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:251)(cid:244)(cid:219)(cid:297)(cid:278)(cid:273)(cid:206)(cid:241)(cid:268)(cid:251)(cid:185)(cid:259)(cid:240)(cid:227)(cid:278)(cid:258) OD\n(cid:293)(cid:245)(cid:293)(cid:213)(cid:181)(cid:245)(cid:293)(cid:245)(cid:277)(cid:229)(cid:293)(cid:197)(cid:197)(cid:245)(cid:293)(cid:245)(cid:197)(cid:213)\nNIGRAM\n10\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:1)(cid:44)\n(b) Nitrogen may be assumed to be an ideal gas. A fixed amount of nitrogen gas is contained at\nSIHT\n105 Pa. a constant pressure of 1.6 ×\nNI\nETIRW\nθ of the gas is shown in Fig. 3.1. The variation of the volume V of the gas with the temperature\n0.4 TON\nOD\nm3 V /\n0.3\nNIGRAM\nSIHT\n0.2\nNI\nETIRW\nTON\n0.1\nOD\n0\nNIGRAM 0 100 200 300\nθ/ °C\nSIHT\nFig. 3.1\nNI\nETIRW (i) The temperature of the nitrogen gas is increased from 0 °C to 210 °C.\nDetermine the work done on the gas.\nTON\nOD\nNIGRAM\nSIHT\nwork done = ....................................................... J [3]\nNI\nETIRW\n(ii) Determine the number N of molecules of nitrogen gas.\nTON\nOD\nNIGRAM\nN = ......................................................... [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:217)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:249)(cid:184)(cid:254)(cid:215)\n© UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:249)(cid:243)(cid:218)(cid:285)(cid:274)(cid:247)(cid:229)(cid:256)(cid:238)(cid:280)(cid:257)(cid:249)(cid:192)(cid:" }, { "id": "9702-2025-m-42-q04", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2025-m-42-q04-p01.png", "9702-topic-17-oscillations/assets/9702-2025-m-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2025-m-42-q04", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 12 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44)\n4 A small crystal is made to vibrate with simple harmonic m otion. The variation with time t of the\nSIHT\ndisplacement x of one surface of the crystal from its equilibrium position is shown in Fig. 4.1.\nNI\nETIRW 50\n10−6 x / m\nTON\nOD 10−6 t / s\n0\n0 0.1 0.2 0.3 0.4 0.5 0.6\nNIGRAM\n–50\nSIHT\nFig. 4.1\nNI\nETIRW\n107 s–1. rad (a) Show that the angular frequency of the vibration of the surface is 4.2 ×\nTON\nOD\n[2]\nNIGRAM\nof the vibration of the surface. (b) Determine the maximum acceleration a\n0\nSIHT\nNI\nETIRW\nTON\nOD\ns–2 a = ................................................ m [2]\n0\nNIGRAM 10– 4 kg that vibrates as shown (c) The crystal may be modelled as a single mass of 2.4 ×\nin Fig. 4.1.\nSIHT\nCalculate the total energy E of the vibrations.\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nE = ....................................................... J [3]\nNI\nETIRW\nTON\n(cid:300)(cid:217)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:249)(cid:184)(cid:256)(cid:215)\n© UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:250)(cid:241)(cid:210)(cid:289)(cid:288)(cid:258)(cid:231)(cid:248)(cid:268)(cid:218)(cid:247)(cid:221)(cid:186)(cid:267)(cid:278)(cid:258) OD\n(cid:293)(cid:277)(cid:213)(cid:277)(cid:245)(cid:245)(cid:197)(cid:213)(cid:213)(cid:181)(cid:277)(cid:261)(cid:261)(cid:213)(cid:197)(cid:245)(cid:293)(cid:213)\nNIGRAM\n13\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44)\n(d) The crystal generates ultrasound waves that are used to obtain diagnostic information about\nSIHT\ninternal structures.\nNI\nETIRW\n(i) The crystal is made from piezoelectric material.\nTON Explain how the crystal is made to vibrate.\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n...........................................................................................................................................\nSIHT ..................................................................................................................................... [2]\nNI\n(ii) A parallel beam of ultrasound waves is incident on a muscle‑bone boundary . Data for\nETIRW\nmuscle and bone are given in Table 4.1.\nTON\nTable 4.1\nOD\nm–3 s–1 material density / kg speed of sound / m\nmuscle 1100 1600\nNIGRAM\nbone 1900 4100\nCalculate the percentage of the intensity of the ultrasound beam that is transmitted at SIHT\nthis boundary.\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\npercentage transmitted = ..................................................... % [3]\nTON [Total: 12]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:219)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:24" }, { "id": "9702-2025-m-42-q05", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2025-m-42-q05-p01.png", "9702-topic-19-capacitance/assets/9702-2025-m-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2025-m-42-q05", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_42.pdf?download=true", "source_pages": [ 10 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:5)(cid:44)\n5 (a) A capacitor of capacitance C is connected in series with a second capacitor of capacitance C.\nSIHT 1 2\nNI Show that the combined capacitance C of the two capacitors is given by\nETIRW\n1 1 1\n+ . =\nC C C\nTON 1 2\nOD\nNIGRAM\nSIHT\n[2]\nNI\nETIRW\n(b) Three identical capacitors, each of capacitance C, are connected in a network as shown\nin Fig. 5.1.\nTON\nOD\nC\nX Y\nNIGRAM\nSIHT\nNI\nETIRW\nC C\nTON\nFig. 5.1\nOD\nThe variation of the charge Q with the potential dif ference (p.d.) V between the terminals\nX and Y is shown in Fig. 5.2.\nNIGRAM\n400\nSIHT Q / μC\nNI\n200 ETIRW\nTON\nOD\n0\n0 2 4 6\nV / V\nNIGRAM Fig. 5.2\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:213)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:252)(cid:181)(cid:258)(cid:215)\n© UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:250)(cid:244)(cid:219)(cid:297)(cid:271)(cid:266)(cid:228)(cid:264)(cid:242)(cid:180)(cid:255)(cid:256)(cid:298)(cid:187)(cid:286)(cid:258) OD\n(cid:293)(cid:181)(cid:229)(cid:277)(cid:245)(cid:245)(cid:293)(cid:277)(cid:229)(cid:213)(cid:197)(cid:197)(cid:197)(cid:245)(cid:261)(cid:245)(cid:229)(cid:213)\nNIGRAM\n15\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44)\nShow that C is equal to 44 µF.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\n[3] SIHT\nNI\n(c) The capacitor network in Fig. 5.1 is charged and then connected to a resistor of resistance\nETIRW\n54 kΩ. The capacitor network discharges through the resistor.\nTON\nτ of the circuit. Give a unit with your answer. (i) Determine the time constant\nOD\nNIGRAM\nSIHT\nNI\nETIRW τ = ............................... unit .................. [2]\n(ii) Determine the time taken for the discharge current to reduce to 15% of the initial TON\ndischarge current.\nOD\nNIGRAM\nSIHT\nNI\nETIRW\ntime = ....................................................... s [2]\nTON\n[Total: 9]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:215)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:181)(cid:258)(cid:215) [Turn over © UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:249)(cid:243)(cid:211)(cid:287)(cid:275)(cid:250)(cid:213)(cid:242)(cid:255)(cid:245)(cid:219)(cid:248)(cid:174)(cid:187)(cid:270)(cid:258) OD\n(cid:293)(cid:181)(cid:213)(cid:213)(cid:181)(cid:277)(cid:261)(cid:245)(cid:181)(cid:229)(cid:277)(cid:197)(cid:197)(cid:277)(cid:293)(cid:181)(cid:181)(cid:213)" }, { "id": "9702-2025-m-42-q06", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_42.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2025-m-42-q06-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2025-m-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2025-m-42-q06", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_42.pdf?download=true", "source_pages": [ 10, 11 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44)\n6 An electric field and a magnetic field are used to form a velocity selector. Charged particles, called\nSIHT\nions, pass into a region of uniform electric and magnetic fields that is between parallel plates, as\nNI shown in Fig. 6.1.\nETIRW\nplate\nTON + + + + + +\nOD\npath of ions\nNIGRAM\n– – – – – – region of electric\nSIHT\nplate and magnetic fields\nNI\nETIRW\nFig. 6.1\nTON\n(a) The potential difference (p.d.) between the plates of the velocity selector is V. The separation\nof the plates is d and the magnetic flux density is B. OD\nShow that the speed u of ions that pass undeviated through the velocity selector is given by\nV\nNIGRAM . u =\nBd\nSIHT\nNI\nETIRW\nTON\nOD\n[2]\n–17 –27 J and mass 3.2 × 10 kg pass undeviated (b) Positive ions with kinetic energy 4.1 × 10\nNIGRAM\n10–2 m. through the velocity selector when V is equal to 980 V and d is equal to 3.6 ×\nDetermine B. SIHT\nNI\nETIRW\nTON\nOD\nB = ...................................................... T [3] NIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:213)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:181)(cid:260)(cid:215)\n© UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:249)(cid:242)(cid:211)(cid:293)(cid:289)(cid:239)(cid:226)(cid:240)(cid:264)(cid:238)(cid:249)(cid:220)(cid:272)(cid:235)(cid:294)(cid:258) OD\n(cid:293)(cid:261)(cid:261)(cid:213)(cid:245)(cid:277)(cid:261)(cid:213)(cid:213)(cid:261)(cid:293)(cid:197)(cid:261)(cid:277)(cid:197)(cid:181)(cid:229)(cid:213)\nNIGRAM\n17\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44)\n(c) A proton passes undeviated through the velocity selector.\nSIHT\nNI An alpha particle enters the velocity selector at the same speed as the proton.\nETIRW\nState how the expression in (a) predicts that the alpha particle also passes undeviated\nTON through the velocity selector.\nOD\n...................................................................................................................................................\n............................................................................................................................................. [1]\nNIGRAM\n(d) By reference to Fig. 6.1 and to the forces acting on a positive ion, determine the direction of\nthe magnetic field. Explain your reasoning.\nSIHT\nNI\nETIRW\nTON\nOD\n...................................................................................................................................................\nNIGRAM\n...................................................................................................................................................\nSIHT\n...................................................................................................................................................\nNI\nETIRW ..........................................................." }, { "id": "9702-2025-m-42-q07", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_42.pdf?download=true", "source_pages": [ 18, 19, 20 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2025-m-42-q07-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2025-m-42-q07-p02.png", "9702-topic-20-magnetic-fields/assets/9702-2025-m-42-q07-p03.png" ], "answer": { "status": "available", "id": "9702-2025-m-42-q07", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_42.pdf?download=true", "source_pages": [ 11, 12 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:9)(cid:44)\n7 (a) State Faraday’s law of electromagnetic induction.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A metal rod is accelerated uniformly from rest in a uniform magnetic field as shown in Fig. 7.1.\nmagnetic field\nNIGRAM\nrod\ninto page\nSIHT\ndirection of acceleration NI\nETIRW\nTON\nOD\nFig. 7.1\nThe rod has length l and the flux density of the magnetic field is B.\nNIGRAM\nAn electromotive force (e.m.f.) is induced in the rod. The variation with time t of the induced\ne.m.f. E is shown in Fig. 7.2. SIHT\nNI 0.3\nETIRW\nE / mV\n0.2\nTON\nOD 0.1\n0\n0 1 2\nt / s\nNIGRAM\nFig. 7.2\nSIHT\n(i) Explain how Fig. 7.2 shows that E is proportional to the velocity v of the rod. NI\nETIRW\n...........................................................................................................................................\nTON\n...........................................................................................................................................\nOD\n..................................................................................................................................... [2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:213)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:183)(cid:258)(cid:215)\n© UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:252)(cid:242)(cid:218)(cid:295)(cid:297)(cid:297)(cid:224)(cid:247)(cid:255)(cid:216)(cid:277)(cid:218)(cid:252)(cid:275)(cid:270)(cid:258) OD\n(cid:293)(cid:213)(cid:293)(cid:277)(cid:245)(cid:277)(cid:229)(cid:213)(cid:245)(cid:181)(cid:293)(cid:261)(cid:261)(cid:181)(cid:197)(cid:181)(cid:277)(cid:213)\nNIGRAM\n19\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:10)(cid:44)\n(ii) Use Faraday’s law to show that the variation of E with time t is given by\nSIHT\nNI E = Blat\nETIRW\nwhere a is the acceleration of the rod.\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n[3]\nTON\ns–2. OD (iii) The length of the rod is 0.45 m. The acceleration a of the rod is 7.8 m\nDetermine the value of B.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nB = ...................................................... T [2]\nOD\n[Total: 9]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:215)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:183)(cid:258)(cid:215) [Turn over © UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:251)(cid:241)(cid:210)(cid:289)(cid:293)" }, { "id": "9702-2025-m-42-q08", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_42.pdf?download=true", "source_pages": [ 21 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_42.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2025-m-42-q08-p01.png" ], "answer": { "status": "available", "id": "9702-2025-m-42-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_42.pdf?download=true", "source_pages": [ 12, 13 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:2)(cid:44)\n8 (a) State what is meant by a photon.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A laser emits red light of a single wavelength. The light is produced when electrons move\nfrom a higher energy level to a lower energy level. The difference in energy between the\ntwo levels is 1.96 eV.\nNIGRAM\n(i) Calculate the wavelength of the light.\nSIHT\nNI\nETIRW\nTON\nOD\nwavelength = ..................................................... m [3]\n10–2 NIGRAM W. (ii) The power of the beam emitted by the laser is 1.0 ×\nCalculate the number of photons emitted per unit time by the laser.\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 [1] number per unit time = ...................................................\n(iii) The photons are incident normally on a surface. Half of the number of photons are\nNIGRAM absorbed by the surface, and half are reflected.\nDetermine the average force exerted by the beam of photons on the surface.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\naverage force = ..................................................... N [4] ETIRW\n[Total: 10]\nTON\n(cid:300)(cid:215)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:183)(cid:260)(cid:215) [Turn over © UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:252)(cid:243)(cid:218)(cid:285)(cid:283)(cid:288)(cid:219)(cid:249)(cid:264)(cid:207)(cid:183)(cid:246)(cid:218)(cid:259)(cid:294)(cid:258) OD\n(cid:293)(cid:293)(cid:181)(cid:277)(cid:181)(cid:277)(cid:229)(cid:245)(cid:277)(cid:277)(cid:277)(cid:261)(cid:197)(cid:181)(cid:293)(cid:181)(cid:261)(cid:213)" }, { "id": "9702-2025-m-42-q09", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_42.pdf?download=true", "source_pages": [ 22, 23, 24, 25 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2025-m-42-q09-p01.png", "9702-topic-24-medical-physics/assets/9702-2025-m-42-q09-p02.png", "9702-topic-24-medical-physics/assets/9702-2025-m-42-q09-p03.png", "9702-topic-24-medical-physics/assets/9702-2025-m-42-q09-p04.png" ], "answer": { "status": "available", "id": "9702-2025-m-42-q09", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_42.pdf?download=true", "source_pages": [ 13 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:3)(cid:44)\n(193Po) 9 Polonium‑193 is an unstable nuclide. A nucleus of polonium‑193 decays to a nucleus of\nSIHT 84\n(189Pb) by emitting an alpha‑particle. lead‑189\n82 NI\nETIRW\n(a) Radioactive decay is both random and spontaneous.\nTON\nState what is meant by:\nOD\n(i) random\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [1]\nSIHT (ii) spontaneous.\nNI\n........................................................................................................................................... ETIRW\n..................................................................................................................................... [1]\nTON\nOD\n(b) Define half‑life.\n...................................................................................................................................................\nNIGRAM\n...................................................................................................................................................\n............................................................................................................................................. [1]\nSIHT\nNI (c) Data for the binding energy per nucleon of the particles involved in the decay of a nucleus of\nETIRW\npolonium‑193 are given in Table 9.1.\nTON Table 9.1\nOD\nparticle binding energy per nucleon / eV\n193Po 7.774\n84\n189Pb NIGRAM 7.826\n82\n4α 7.074\n2\nSIHT\nDetermine the energy , in eV, released when a nucleus of polonium‑193 decays into a nucleus NI\nof lead‑189. ETIRW\nTON\nOD\nNIGRAM\nSIHT\nenergy = .................................................... eV [2]\nNI\nETIRW\nTON\n(cid:300)(cid:217)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:182)(cid:258)(cid:215)\n© UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:251)(cid:243)(cid:213)(cid:295)(cid:243)(cid:294)(cid:211)(cid:238)(cid:245)(cid:230)(cid:215)(cid:254)(cid:187)(cid:235)(cid:278)(cid:258) OD\n(cid:293)(cid:181)(cid:277)(cid:277)(cid:181)(cid:181)(cid:229)(cid:213)(cid:213)(cid:245)(cid:181)(cid:261)(cid:261)(cid:181)(cid:197)(cid:245)(cid:213)(cid:213)\nNIGRAM\n23\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:4)(cid:44)\n(d) A pure sample of polonium‑193 contains N nuclei. After a time t the sample contains N nuclei\nSIHT 0\nN) with t is shown in Fig. 9.1. of polonium‑193. The variation of ln (N /\n0\nNI\nETIRW / ms t\n0 0.2 0.4 0.6 0.8 1.0\n0\nTON\nOD\n–0.2\nNIGRAM\nSIHT –0.4\nNI\nETIRW\n–0.6 TON\nOD\nIn (N / N )\n0\n–0.8\nNIGRAM\nSIHT\n–1.0\nNI\nETIRW\nTON\n–1.2\nOD\n–1.4\nNIGRAM\nFig. 9.1\nSIHT\n(i) State the name of the quantity that is represented by the magnitude of the gradie" }, { "id": "9702-2025-m-42-q10", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_42.pdf?download=true", "source_pages": [ 26, 27, 28 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_42.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-m-42-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-m-42-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-m-42-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2025-m-42-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_42.pdf?download=true", "source_pages": [ 14 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:7)(cid:44)\n10 (a) (i) State what is meant by the luminosity of a star.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n..................................................................................................................................... [1]\nTON\n(ii) Explain how standard candles are used to determine the distance to a galaxy.\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n...........................................................................................................................................\nSIHT\n...........................................................................................................................................\nNI\nETIRW\n...........................................................................................................................................\nTON\n..................................................................................................................................... [3]\nOD\n(b) The Sun rotates on its axis. Points X, Y and Z are on the equator of the Sun as shown\nin Fig. 10.1.\nNIGRAM axis of rotation\nSIHT\nequator\nNI\nETIRW\nX Y Z\nTON\nSun\nOD\ndirection of rotation\nNIGRAM\nFig. 10.1\nSIHT The wavelengths of light from points X and Y are observed and recorded in Table 10.1.\nNI\nTable 10.1\nETIRW\nobserved wavelength observed wavelength TON\nfrom X / nm from Y / nm\nOD\n656.2877 656.2831\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:217)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:184)(cid:258)(cid:215)\n© UCLES 2025 9702/42/F/M/25 (cid:300)(cid:194)(cid:249)(cid:241)(cid:216)(cid:297)(cid:261)(cid:261)(cid:207)(cid:253)(cid:268)(cid:194)(cid:189)(cid:220)(cid:233)(cid:259)(cid:294)(cid:258) OD\n(cid:293)(cid:213)(cid:213)(cid:277)(cid:181)(cid:213)(cid:293)(cid:277)(cid:261)(cid:277)(cid:277)(cid:197)(cid:197)(cid:245)(cid:261)(cid:181)(cid:293)(cid:213)\nNIGRAM\n27\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:8)(cid:44)\n106 (i) The Sun rotates with a period of 2.07 × s.\nSIHT\n108 NI m. Show that the radius of the Sun is 6.93 ×\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n[3]\nTON\n(ii) State and explain how the ex pected wavelength of the light observed from Z compares\nOD with the emitted wavelength.\n...........................................................................................................................................\nNIGRAM .........................................................................................." }, { "id": "9702-2025-m-52-q01", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-m-52-q01-p01.png", "9702-practical-skills/assets/9702-2025-m-52-q01-p02.png", "9702-practical-skills/assets/9702-2025-m-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2025-m-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_52.pdf?download=true", "source_pages": [ 7, 8, 9 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:44)\n1 Fig. 1.1 shows two identical cylindrical metal conductors P and Q, each of length L and\nSIHT\ncross‑sectional area A.\nNI\nETIRW L\nTON\nP\nOD\np\nNIGRAM\nq\nQ\nSIHT\nX NI\nETIRW\nFig. 1.1\nTON\nThe conductors are placed parallel to each other. The perpendicular distance from the midpoint of\nOD\nP to point X is p. The perpendicular distance from the midpoint of Q to point X is q.\nThe two conductors are electrically connected in parallel. This parallel combination is connected\nin series to a power supply and a resistor. The potential difference V between the ends of P is the\nNIGRAM\nsame as the potential difference between the ends of Q.\nSIHT The magnetic flux density at X due to the currents in the conductors is B.\nNI\nIt is suggested that B is related to p by the relationship\nETIRW\nYAV YZAV\n+ B =\nTON Lp Lq\nOD where Y and Z are constants.\nPlan a laboratory experiment to test the relationship between B and p.\nNIGRAM Draw a diagram showing the arrangement of your equipment.\nExplain how the results could be used to determine values for Y and Z.\nSIHT\nIn your plan you should include: NI\nETIRW\n• the procedure to be followed\nTON\n• the measurements to be taken\nOD\n• the control of variables\n• the analysis of the data\nNIGRAM\n• any safety precautions to be taken.\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:252)(cid:184)(cid:254)(cid:215)\n© UCLES 2025 9702/52/F/M/25 (cid:300)(cid:198)(cid:240)(cid:243)(cid:215)(cid:287)(cid:239)(cid:260)(cid:236)(cid:243)(cid:244)(cid:283)(cid:236)(cid:240)(cid:272)(cid:259)(cid:286)(cid:258) OD\n(cid:293)(cid:181)(cid:293)(cid:277)(cid:245)(cid:181)(cid:197)(cid:245)(cid:261)(cid:213)(cid:229)(cid:197)(cid:197)(cid:277)(cid:197)(cid:245)(cid:245)(cid:213)\nNIGRAM\n3\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:4)(cid:44)\nDiagram\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n..........................................................................................................................................................\nTON\n..........................................................................................................................................................\nOD\n..........................................................................................................................................................\n..........................................................................................................................................................\nNIGRAM\n..........................................................................................................................................................\nSIHT\n......................................................................................................" }, { "id": "9702-2025-m-52-q02", "subject": "9702", "year": 2025, "session": "March", "session_code": "m", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2025-March/qp/9702_m25_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-m-52-q02-p01.png", "9702-practical-skills/assets/9702-2025-m-52-q02-p02.png", "9702-practical-skills/assets/9702-2025-m-52-q02-p03.png", "9702-practical-skills/assets/9702-2025-m-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2025-m-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-March/ms/9702_m25_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-March/9702_m25_ms_52.pdf?download=true", "source_pages": [ 9, 10, 11, 12 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n2 A student investigates the cooling of a liquid in a beaker.\nSIHT\nNI θ of the laboratory is measured using a thermometer. The temperature\nR\nETIRW\nHot water is added to an insulated beaker, as shown in Fig. 2.1.\nTON\nOD\nthermometer\nstand\nNIGRAM\nbeaker\nSIHT\ninsulation\nNI\nETIRW water\nbench\nTON\nheat-proof mat\nOD\nFig. 2.1\nNIGRAM\nThe thermometer measures the temperature of the water. At time t the temperature of the water\nθ. is SIHT\nNI\nθ are taken. A series of readings of t and\nETIRW\nθ and t are related by the equation It is suggested that\nTON\n(t) OD e– + (θ – ) θ = θ θ K\nR 0 R\nis the temperature at t = 0 and K is a constant. where θ\n0\nNIGRAM (θ – θ ) on the y‑axis against t on the x‑axis. (a) A graph is plotted of ln\nR\nDetermine expressions for the gradient and y‑intercept.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ngradient = ...............................................................\nSIHT\ny‑intercept = ...............................................................\nNI\n[1]\nETIRW\nTON\n(cid:300)(cid:207)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:184)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/52/F/M/25 (cid:300)(cid:198)(cid:240)(cid:242)(cid:215)(cid:293)(cid:253)(cid:261)(cid:207)(cid:237)(cid:251)(cid:276)(cid:266)(cid:212)(cid:174)(cid:275)(cid:278)(cid:258) OD\n(cid:293)(cid:261)(cid:181)(cid:277)(cid:181)(cid:181)(cid:197)(cid:213)(cid:293)(cid:245)(cid:213)(cid:197)(cid:261)(cid:277)(cid:293)(cid:245)(cid:293)(cid:213)\nNIGRAM\n6\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n(b) Values of t and θ are given in Table 2.1. ` SIHT\nNI Table 2.1\nETIRW\nTON t / min θ / °C (θ – θ ) / °C ln ((θ – θ ) / °C)\nR R\nOD\n6.0 75.0 ± 0.5\nNIGRAM\n12.0 64.5 ± 0.5\nSIHT\n18.0 57.0 ± 0.5\nNI\nETIRW\n24.0 50.0 ± 0.5\nTON\nOD\n30.0 44.5 ± 0.5\n36.0 41.0 ± 0.5\nNIGRAM\nis (18.5 ± 0.5) °C. θ The value of\nR SIHT\n) / °C and ln ((θ ) / °C) in Table 2.1. θ – θ – θ Calculate and record values of (\nNI R R\n) and ln ((θ ) / °C). [2] θ – θ – θ Include the absolute uncertainties in ( ETIRW\nR R\n) / °C) against t / min. Include error bars for ln ((θ ) / °C). [2] ((θ – θ – θ (c) (i) Plot a graph of ln TON\nR R\nOD\n(ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Label\nboth lines. [2]\n(iii) Determine the gradient of the line of best fit. Include the absolute uncertainty in\nNIGRAM\nyour answer.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ngradient = ......................................................... [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:250)(cid:181)(cid:254)(cid:215)\n© UCLES 2025 9702/52/F/M/25 (cid:300)(cid:198)(cid:239)(cid:242)(cid:220)(cid:287)(cid:293)(cid:255)(cid:215)(cid:250)(cid:266)(cid:297)(cid:298)(cid:2" }, { "id": "9702-2025-mj-41-q01", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_41.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_41.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2025-mj-41-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2025-mj-41-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-41-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_41.pdf?download=true", "source_pages": [ 8 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:5)(cid:44)\n1 (a) Define gravitational potential at a point.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n160 m. (b) Mars is a planet that may be considered to be an isolated uniform sphere of radius 3.4 ×\n106 m above the A satellite of mass 122 kg is in orbit around Mars at a constant height of 1.7 ×\nNIGRAM\nsurface of the planet.\n6 m above the surface. This increases the The height of the orbit is increased to 6.8 × 10 SIHT\n108 J. gravitational potential energy of the satellite by 5.1 ×\nNI\nETIRW\n1023 kg. (i) Show that the mass of Mars is 6.4 ×\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n[3]\nTON\nφ at the surface of Mars. Give a unit with your answe.r (ii) Calculate the gravitational potential\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nφ = .................................. unit ............... [2]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:252)(cid:183)(cid:256)(cid:215)\n© UCLES 2025 9702/41/M/J/25 (cid:300)(cid:194)(cid:261)(cid:251)(cid:211)(cid:294)(cid:262)(cid:288)(cid:236)(cid:249)(cid:259)(cid:298)(cid:230)(cid:291)(cid:229)(cid:236)(cid:286)(cid:258) OD\n(cid:293)(cid:213)(cid:181)(cid:277)(cid:181)(cid:181)(cid:261)(cid:213)(cid:181)(cid:197)(cid:229)(cid:197)(cid:261)(cid:181)(cid:293)(cid:277)(cid:197)(cid:213)\nNIGRAM\n5\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n(c) The satellite in (b) is moved to an orbit in which the satellite remains at the same point above\nSIHT\nthe surface of Mars.\nNI\nETIRW\n(i) The orbit has a period of 25 hours.\nTON State what can be deduced from this about the rotation of Mars on its axis.\nOD\n...........................................................................................................................................\n..................................................................................................................................... [1]\nNIGRAM\n(ii) State one other feature of this orbit.\nSIHT ...........................................................................................................................................\nNI\n..................................................................................................................................... [1]\nETIRW\n[Total: 9]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(ci" }, { "id": "9702-2025-mj-41-q02", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 2, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_41.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_41.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2025-mj-41-q02-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2025-mj-41-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-41-q02", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_41.pdf?download=true", "source_pages": [ 9, 10 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n2 A helium atom may be modelled as a nucleus surrounded by two electrons in diametrically\nSIHT\nopposite circular orbits, each of radius 170 pm, as shown in Fig. 2.1.\nNI\nETIRW\norbit of electrons\nTON\nOD 170 pm\nelectron electron\nNIGRAM\nnucleus\nSIHT\nNI\nETIRW\nTON\nOD Fig. 2.1\n(a) State Coulomb’s law.\nNIGRAM ...................................................................................................................................................\n...................................................................................................................................................\nSIHT\n............................................................................................................................................. [2] NI\nETIRW\n(b) (i) State the charge on the nucleus, in terms of the elementary charge e.\nTON\nOD\ncharge = ....................................................... e [1]\n10–8 N. (ii) Show that the electric force between the nucleus and one of the electrons is 1.6 ×\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\n[1]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:182)(cid:254)(cid:215)\n© UCLES 2025 9702/41/M/J/25 (cid:300)(cid:194)(cid:261)(cid:252)(cid:216)(cid:298)(cid:290)(cid:278)(cid:213)(cid:268)(cid:255)(cid:214)(cid:274)(cid:291)(cid:276)(cid:260)(cid:286)(cid:258) OD\n(cid:293)(cid:261)(cid:293)(cid:213)(cid:245)(cid:245)(cid:293)(cid:277)(cid:293)(cid:213)(cid:213)(cid:197)(cid:197)(cid:213)(cid:229)(cid:277)(cid:261)(cid:213)\nNIGRAM\n7\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44)\n(c) Assume that the force in (b)(ii) is the only force on the electrons.\nSIHT\nNI (i) Calculate the speed of the orbiting electrons.\nETIRW\nTON\nOD\nNIGRAM\ns–1 [2] speed = ................................................ m SIHT\nNI\n(ii) Calculate the period of the orbit of the electrons.\nETIRW\nTON\nOD\nNIGRAM\nperiod = ....................................................... s [2]\nSIHT\n(d) In practice, the orbit of each electron is affected by the presence of the other electron.\nNI\nETIRW (i) For the position of one of the electrons, determine the ratio\nelectric field strength due to the other electron\nTON\n.\nelectric field strength due to the nucleus\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nratio = ......................................................... [2]\nTON\n(ii) Use your answer in (d)(i) to suggest and explain how the orbit of the electron is affected OD\nby the presence of the other electron.\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [1]\nSIHT [Tota" }, { "id": "9702-2025-mj-41-q03", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 3, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_41.pdf?download=true", "source_pages": [ 8 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_41.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2025-mj-41-q03-p01.png" ], "answer": { "status": "available", "id": "9702-2025-mj-41-q03", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_41.pdf?download=true", "source_pages": [ 11 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44)\n3 (a) Define specific latent heat.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Explain why, for a substance, the specific latent heat of vaporisation is usually greater than\nthe specific latent heat of fusion.\nNIGRAM\n...................................................................................................................................................\n................................................................................................................................................... SIHT\nNI\n...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\nOD ............................................................................................................................................. [3]\n(c) An ice cube of mass 37.0 g at temperature 0.0 °C is placed in a beaker containing water of\nmass 208 g at temperature 26.4 °C.\nNIGRAM\nWhen all the ice has melted, and all the water in the beaker has reached thermal equilibrium,\nthe final temperature of all the water is 10.3 °C.\nSIHT\ng–1 °C–1. The specific heat capacity of water is 4.18 J NI\nETIRW\nThe beaker has negligible specific heat capacity and is perfectly insulated from the\nsurroundings. TON\nOD\nDetermine a value, to three significant figures, for the specific latent heat of fusion of water .\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ng–1 [4] specific latent heat of fusion = ................................................. J\nNIGRAM\n[Total: 9]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:250)(cid:182)(cid:256)(cid:215)\n© UCLES 2025 9702/41/M/J/25 (cid:300)(cid:194)(cid:262)(cid:250)(cid:208)(cid:294)(cid:272)(cid:291)(cid:215)(cid:244)(cid:249)(cid:284)(cid:296)(cid:183)(cid:294)(cid:276)(cid:294)(cid:258) OD\n(cid:293)(cid:181)(cid:197)(cid:277)(cid:245)(cid:277)(cid:261)(cid:213)(cid:277)(cid:261)(cid:245)(cid:197)(cid:261)(cid:181)(cid:293)(cid:213)(cid:261)(cid:213)" }, { "id": "9702-2025-mj-41-q04", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 4, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_41.pdf?download=true", "source_pages": [ 9 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_41.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2025-mj-41-q04-p01.png" ], "answer": { "status": "available", "id": "9702-2025-mj-41-q04", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_41.pdf?download=true", "source_pages": [ 12 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:10)(cid:44)\n4 (a) (i) State what is meant by the internal energy of a system.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\n..................................................................................................................................... [2]\nOD\n(ii) Explain why the internal energy of an ideal gas is directly proportional to the\nthermodynamic temperature of the gas.\nNIGRAM\n...........................................................................................................................................\nSIHT ...........................................................................................................................................\nNI\n...........................................................................................................................................\nETIRW\n..................................................................................................................................... [2]\nTON\nOD (b) A sample of an ideal gas at thermodynamic temperature T has internal energy U.\nThe gas is compressed so that its temperature increases to 3T.\nDuring this compression, work W is done on the gas.\nNIGRAM\nThe gas is then cooled at constant volume so that its temperature decreases to 2T.\nSIHT\nComplete Table 4.1 to show, in terms of some or all of W, T and U, the work done on the gas,\nthe thermal energy supplied to the gas and the increase in internal energy of the gas for each NI\nETIRW of the two processes.\nTable 4.1 TON\nOD\nthermal energy increase in internal\nwork done on gas\nsupplied to gas energy of gas\nNIGRAM\ncompression +W\nSIHT\nNI\ncooling\nETIRW\nTON\n[4]\nOD\n[Total: 8]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:182)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/41/M/J/25 (cid:300)(cid:194)(cid:261)(cid:249)(cid:216)(cid:292)(cid:276)(cid:275)(cid:226)(cid:262)(cid:264)(cid:205)(cid:180)(cid:191)(cid:178)(cid:276)(cid:278)(cid:258) OD\n(cid:293)(cid:181)(cid:181)(cid:213)(cid:181)(cid:245)(cid:293)(cid:181)(cid:261)(cid:245)(cid:229)(cid:197)(cid:261)(cid:213)(cid:261)(cid:277)(cid:277)(cid:213)" }, { "id": "9702-2025-mj-41-q05", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 5, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_41.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_41.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2025-mj-41-q05-p01.png", "9702-topic-17-oscillations/assets/9702-2025-mj-41-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-41-q05", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_41.pdf?download=true", "source_pages": [ 13 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:1)(cid:44)\n5 A cuboidal block floats in a liquid with its base horizontal, as shown in Fig. 5.1.\nSIHT\nblock NI\nETIRW\nTON\nliquid surface\nOD\nh\nNIGRAM\nSIHT\nFig. 5.1\nNI\nThe base of the block is at a depth h below the surface of the liquid. ETIRW\nThe block is displaced downwards by a small distance and then released so that it oscillates. TON\nOD\nFig. 5.2 shows the variation with h of the acceleration a of the block.\n1.0\nNIGRAM s–2 / m a\n0 SIHT\n2.4 0 0.4 0.8 1.2 1.6 2.0\n/ m h NI\nETIRW\n–1.0 TON\nOD\nFig. 5.2\nof the block. Fig. 5.3 shows the variation with h of the kinetic energy E\nK\nNIGRAM\n10\n/ J E SIHT\nK\nNI\n5 ETIRW\nTON\nOD\n0\n2.4 0.4 0.8 1.2 1.6 2.0 0\nh / m\nNIGRAM\nFig. 5.3\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:184)(cid:254)(cid:215)\n© UCLES 2025 9702/41/M/J/25 (cid:300)(cid:194)(cid:263)(cid:250)(cid:213)(cid:296)(cid:280)(cid:245)(cid:217)(cid:251)(cid:242)(cid:178)(cid:268)(cid:181)(cid:258)(cid:236)(cid:270)(cid:258) OD\n(cid:293)(cid:293)(cid:229)(cid:213)(cid:245)(cid:277)(cid:229)(cid:213)(cid:181)(cid:181)(cid:245)(cid:261)(cid:261)(cid:277)(cid:293)(cid:213)(cid:181)(cid:213)\nNIGRAM\n11\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)\n(a) (i) Determine the amplitude of the oscillations.\nSIHT\nNI amplitude = ...................................................... m [1]\nETIRW\n(ii) State what the line in Fig. 5.2 shows about the nature of the oscillations.\nTON\n..................................................................................................................................... [1]\nOD\n(b) State three other quantitative conclusions that can be drawn from Fig. 5.2 and Fig. 5.3 about\nthe block and its oscillations. Use the space for any working.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\n1 ................................................................................................................................................\n...................................................................................................................................................\nNIGRAM\n2 ................................................................................................................................................\nSIHT\n...................................................................................................................................................\nNI\nETIRW\n3 ................................................................................................................................................\nTON ...................................................................................................................................................\n[3]\nOD\nof the oscillations. (c) On Fig. 5.4, sketch the variation with h of the potential energy E\nP\n10" }, { "id": "9702-2025-mj-41-q06", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 6, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_41.pdf?download=true", "source_pages": [ 12, 13, 14 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_41.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2025-mj-41-q06-p01.png", "9702-topic-21-alternating-currents/assets/9702-2025-mj-41-q06-p02.png", "9702-topic-21-alternating-currents/assets/9702-2025-mj-41-q06-p03.png" ], "answer": { "status": "available", "id": "9702-2025-mj-41-q06", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_41.pdf?download=true", "source_pages": [ 14 ], "marks": 12 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44)\n6 Fig. 6.1 shows a circuit that rectifies an alternating input voltage V and produces an output\nSIHT IN\nacross a resistor R. voltage V\nOUT\nNI\nETIRW\nW Y\nTON\nrectification OD\nV V C R\nIN OUT circuit\nX Z\nNIGRAM\nFig. 6.1\nSIHT\nNI The four terminals of the rectification circuit are labelled W, X, Y and Z.\nETIRW\nA capacitor C is connected in parallel with resistor R.\nTON (a) (i) State what is meant by rectification.\nOD\n...........................................................................................................................................\n..................................................................................................................................... [1]\nNIGRAM\n(ii) State the purpose of capacitor C.\nSIHT ...........................................................................................................................................\nNI\n..................................................................................................................................... [1]\nETIRW\nand V . (b) Fig. 6.2 shows the variations with time t of the potential differences (p.d.s) V\nTON IN OUT\n12 OD\nV 8\nOUT\n/ V p.d.\nNIGRAM\n4\nSIHT 0\n0 10 20 30 40\nNI t / ms\n–4\nETIRW\n–8\nTON\nV\nIN OD\n–12\nFig. 6.2\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:184)(cid:256)(cid:215)\n© UCLES 2025 9702/41/M/J/25 (cid:300)(cid:194)(cid:264)(cid:252)(cid:205)(cid:300)(cid:298)(cid:260)(cid:219)(cid:259)(cid:264)(cid:240)(cid:238)(cid:289)(cid:248)(cid:188)(cid:278)(cid:258) OD\n(cid:293)(cid:213)(cid:261)(cid:277)(cid:245)(cid:245)(cid:197)(cid:277)(cid:197)(cid:293)(cid:213)(cid:261)(cid:197)(cid:245)(cid:229)(cid:277)(cid:181)(cid:213)\nNIGRAM\n13\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44)\n(i) The variation of V with t can be represented by\nSIHT IN\nNI = A cos Bt V\nIN\nETIRW\nwhere A and B are constants.\nTON\nDetermine the values of A and B. Give a unit with your answer for A.\nOD\nNIGRAM\nA = ........................................ unit ...............\ns–1 B = .................................................... rad SIHT\n[2]\nNI\nETIRW\n(ii) Determine the type of rectification produced by the circuit in Fig. 6.1.\nTON\n..................................................................................................................................... [1]\nOD\n(iii) On Fig. 6.3, draw the circuit diagram for the components inside the rectification circuit.\nNIGRAM\nW Y\nSIHT\nNI\nETIRW\nTON\nOD\nX Z\nNIGRAM\nFig. 6.3\nSIHT [2]\nNI\n(iv) Determine a value for the time constant for the discharge of the capacitor C through the\nETIRW\nresistor R in Fig. 6.1.\nTON\nOD\nNIGRAM\nSIHT\ntime constant = ....................................................... s [3] NI\nETIRW\nTON\n(cid:300)(cid:211)(cid:" }, { "id": "9702-2025-mj-41-q07", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 7, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_41.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2025-mj-41-q07-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2025-mj-41-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-41-q07", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_41.pdf?download=true", "source_pages": [ 15 ], "marks": 10 }, "text_excerpt": "ETIRW\nTON\n7 (a) Define magnetic flux density.\nOD\n...................................................................................................................................................\n...................................................................................................................................................\nNIGRAM\n............................................................................................................................................. [2]\nSIHT\n(b) A particle of mass m and charge +Q moves at speed v into a region where there is a uniform\nmagnetic field, as shown in Fig. 7.1. NI\nETIRW\npath of\nTON\nregion of\nparticle\nmagnetic field OD\nNIGRAM particle\nY Z\nSIHT\nNI\nETIRW\nTON\nOD\nFig. 7.1\nThe uniform magnetic field is into the page and has flux density B. The particle enters the\nregion of the field at point Y.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:181)(cid:258)(cid:215)\n© UCLES 2025 9702/41/M/J/25 (cid:300)(cid:194)(cid:264)(cid:249)(cid:216)(cid:292)(cid:281)(cid:268)(cid:208)(cid:243)(cid:238)(cid:278)(cid:262)(cid:196)(cid:232)(cid:268)(cid:286)(cid:258) OD\n(cid:293)(cid:245)(cid:245)(cid:277)(cid:245)(cid:245)(cid:293)(cid:213)(cid:181)(cid:261)(cid:261)(cid:197)(cid:261)(cid:213)(cid:293)(cid:277)(cid:245)(cid:213)\nNIGRAM\n15\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44)\n(i) State an expression, in terms of some or all of m, Q, B and v, for the magnetic force F\nSIHT\nthat acts on the particle when it is at point Y.\nNI\nETIRW\nTON\nOD\nF = ......................................................... [1]\n(ii) On Fig. 7.1, draw an arrow at point Y to indicate the direction of the force in (b)(i). [1]\nNIGRAM\n(iii) On Fig. 7.1, draw a line to show a possible path for the particle through the region of the\nmagnetic field. [1] SIHT\nNI\n(c) (i) Explain how an electric field can be used with the magnetic field to ensure that the\nETIRW\nparticle in (b) now passes through point Z.\nTON\nOD\nNIGRAM\nSIHT\n...........................................................................................................................................\nNI\nETIRW ...........................................................................................................................................\n........................................................................................................................................... TON\nOD\n...........................................................................................................................................\n..................................................................................................................................... [3]\nNIGRAM\n(ii) Derive an expression for v in terms of B and the electric field strength E.\nSIHT\nNI\nETIRW\nTON\nOD\nv = ......................" }, { "id": "9702-2025-mj-41-q08", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_41.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_41.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2025-mj-41-q08-p01.png", "9702-topic-22-quantum-physics/assets/9702-2025-mj-41-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-41-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_41.pdf?download=true", "source_pages": [ 16, 17 ], "marks": 13 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44)\n8 (a) State what is meant by the de Broglie wavelength.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n............................................................................................................................................. [1]\nTON\n107 s–1. m (b) Calculate the de Broglie wavelength of an electron moving at a speed of 4.9 ×\nOD\nNIGRAM\nSIHT\nNI\nwavelength = ...................................................... m [2]\nETIRW\n(c) State one similarity and one difference between an electron and a positron.\nTON\nOD similarity: ...................................................................................................................................\n...................................................................................................................................................\nNIGRAM difference: .................................................................................................................................\n...................................................................................................................................................\nSIHT\n[2]\nNI\n7 s–1 ETIRW m collides with a positron that is travelling at (d) An electron moving at a speed of 4.9 × 10\nthe same speed in the opposite direction. As a result of the collision, two gamma-ray photons\nare produced. TON\nOD\n(i) State the name of this type of reaction.\n..................................................................................................................................... [1]\nNIGRAM\n(ii) State what happens to the electron and to the positron.\n...........................................................................................................................................\nSIHT\nNI ...........................................................................................................................................\nETIRW\n..................................................................................................................................... [2]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:181)(cid:260)(cid:215)\n© UCLES 2025 9702/41/M/J/25 (cid:300)(cid:194)(cid:263)(cid:251)(cid:208)(cid:288)(cid:295)(cid:237)(cid:206)(cid:267)(cid:268)(cid:220)(cid:244)(cid:280)(cid:210)(cid:284)(cid:294)(cid:258) OD\n(cid:293)(cid:197)(cid:213)(cid:213)(cid:245)(cid:277)(cid:261)(cid:277)(cid:197)(cid:213)(cid:229)(cid:197)(cid:197)(cid:181)(cid:229)(cid:213)(cid:245)(cid:213)\nNIGRAM\n17\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44)\n(iii) Explain why two gamma-ray photons are produced, rather th" }, { "id": "9702-2025-mj-41-q09", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 9, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_41.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_41.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2025-mj-41-q09-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2025-mj-41-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-41-q09", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_41.pdf?download=true", "source_pages": [ 18 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:9)(cid:44)\n9 (a) Define activity of a radioactive sample.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n............................................................................................................................................. [1]\nTON\n(b) Explain why the variation with time of the activity of a radioactive sample is exponential in\nOD\nnature.\n...................................................................................................................................................\nNIGRAM\n...................................................................................................................................................\n................................................................................................................................................... SIHT\nNI\n...................................................................................................................................................\nETIRW\n............................................................................................................................................. [3]\nTON\nOD (c) A sample contains a single radioactive isotope that decays to form a stable isotope.\nThe sample has an activity of 180 Bq at time t = 0.\nAt a time 8.4 minutes later, the activity is 120 Bq.\nNIGRAM\nmin–1, of the radioactive isotope. (i) Determine the decay constant, in\nSIHT\nNI\nETIRW\nTON\nOD\nmin–1 decay constant = ................................................ [2]\nNIGRAM\n(ii) Use your answer in (c)(i) to determine the half-life, in min, of the radioactive isotope.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nhalf-life = ................................................... min [1]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:251)(cid:183)(cid:258)(cid:215)\n© UCLES 2025 9702/41/M/J/25 (cid:300)(cid:194)(cid:262)(cid:251)(cid:213)(cid:286)(cid:287)(cid:299)(cid:212)(cid:260)(cid:259)(cid:242)(cid:272)(cid:278)(cid:182)(cid:228)(cid:270)(cid:258) OD\n(cid:293)(cid:277)(cid:181)(cid:277)(cid:245)(cid:277)(cid:229)(cid:277)(cid:293)(cid:293)(cid:229)(cid:261)(cid:197)(cid:277)(cid:229)(cid:213)(cid:197)(cid:213)\nNIGRAM\n19\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:10)(cid:44)\n(iii) On Fig. 9.1, sketch the variation of the activity A of the sample with t for values of t\nSIHT\nbetween t = 0 and t = 24 min.\nNI\nETIRW\n200\nTON\nOD\n150\n/ Bq A NIGRAM\n100\nSIHT\nNI\nETIRW\n50\nTON\nOD\n0\n24 4 8 12 16 20 0\nNIGRAM t / min\nFig. 9.1\nSIHT\n[3]\nNI\nETIRW\n[Total: 10]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(c" }, { "id": "9702-2025-mj-41-q10", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "41", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_41.pdf?download=true", "source_pages": [ 20, 21, 22, 23, 24 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_41.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-mj-41-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-mj-41-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-mj-41-q10-p03.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-mj-41-q10-p04.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-mj-41-q10-p05.png" ], "answer": { "status": "available", "id": "9702-2025-mj-41-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_41.pdf?download=true", "source_pages": [ 19 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:1)(cid:44)\n10 (a) State Hubble’s law.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A star in a distant galaxy emits radiation that has a maximum intensity of emission at a\n10–7 m. wavelength of 4.62 ×\nNIGRAM\nObservations of the galaxy made on the Earth detect the maximum intensity of emission from\n10–7 m. the star at a wavelength of 4.91 ×\nSIHT\n(i) Explain why the observed wavelength and the emitted wavelength have different values.\nNI\nETIRW\n...........................................................................................................................................\nTON\n...........................................................................................................................................\nOD\n..................................................................................................................................... [2]\n(ii) Calculate the speed of the star relative to the Earth.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 [2] speed = ................................................ m\n(iii) The wavelength of maximum intensity of emission is used to determine a value for the\nNIGRAM\nsurface temperature of the star.\nExplain how the temperature determined using the observed wavelength compares with SIHT\nthe true value of temperature determined using the emitted wavelength.\nNI\nETIRW\n...........................................................................................................................................\nTON\n...........................................................................................................................................\nOD\n..................................................................................................................................... [2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:183)(cid:260)(cid:215)\n© UCLES 2025 9702/41/M/J/25 (cid:300)(cid:194)(cid:261)(cid:249)(cid:205)(cid:290)(cid:273)(cid:270)(cid:210)(cid:252)(cid:245)(cid:176)(cid:298)(cid:194)(cid:196)(cid:180)(cid:278)(cid:258) OD\n(cid:293)(cid:229)(cid:277)(cid:213)(cid:245)(cid:245)(cid:197)(cid:213)(cid:277)(cid:181)(cid:261)(cid:261)(cid:261)(cid:245)(cid:293)(cid:277)(cid:197)(cid:213)\nNIGRAM\n21\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:2)(cid:44)\n10–18 s–1. (c) A value for the Hubble constant is 2.3 ×\nSIHT\n" }, { "id": "9702-2025-mj-42-q01", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 12, "topic": "Motion in a circle", "topic_slug": "9702-topic-12-motion-in-a-circle", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_42.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_42.pdf", "image_paths": [ "9702-topic-12-motion-in-a-circle/assets/9702-2025-mj-42-q01-p01.png", "9702-topic-12-motion-in-a-circle/assets/9702-2025-mj-42-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-42-q01", "html": "9702-topic-12-motion-in-a-circle/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:5)(cid:44)\n1 (a) Define the radian.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n............................................................................................................................................. [1]\nTON\n(b) The rear wheel and the pedals of a bicycle are connected by a chain that passes around two\nOD\ncogs (toothed wheels), as shown in Fig. 1.1.\npedal\nNIGRAM chain\nSIHT\nNI\nX\nETIRW\nTON\nOD\nlarge cog,\nNIGRAM\nradius 0.15 m\nSIHT\npedal\nrear wheel, NI\nsmall cog, ETIRW m radius 0.46\nm radius 0.038\nTON\nFig. 1.1 (not to scale)\nOD\nThe small cog has a radius of 0.038 m and is fixed to the rear wheel so that it rotates with it.\nThe large cog has a radius of 0.15 m and is fixed to the pedals so that it rotates with them.\nThe rear wheel has a radius of 0.46 m.\nNIGRAM\ns–1. The bicycle is being pedalled so that it moves in a straight line at a constant speed of 17 m\nSIHT\n(i) Calculate the angular speed of the rear wheel.\nNI\nETIRW\nTON\nOD\ns–1 angular speed = .............................................. rad [2] NIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:251)(cid:183)(cid:256)(cid:215)\n© UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:239)(cid:243)(cid:209)(cid:292)(cid:290)(cid:261)(cid:212)(cid:245)(cid:251)(cid:199)(cid:269)(cid:235)(cid:180)(cid:275)(cid:293)(cid:258) OD\n(cid:293)(cid:197)(cid:261)(cid:213)(cid:245)(cid:181)(cid:293)(cid:213)(cid:213)(cid:181)(cid:245)(cid:197)(cid:261)(cid:245)(cid:229)(cid:245)(cid:261)(cid:213)\nNIGRAM\n5\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n(ii) Calculate the period of rotation of the small cog.\nSIHT\nNI\nETIRW\nTON\nOD\nperiod = ...................................................... s [2]\nNIGRAM\n(iii) Show that the distance moved by point X on the chain during one full rotation of the\nsmall cog is 0.24 m.\nSIHT\nNI\nETIRW\nTON\nOD\n[1]\n(iv) Use the information in (b)(iii) to determine the angle through which the large cog rotates\nNIGRAM during one full rotation of the small cog.\nSIHT\nNI\nETIRW\nTON\nOD\nangle = ................................................... rad [2]\n(c) The chain of the bicycle in (b) is moved onto a smaller cog fixed to the rear wheel. The speed\nNIGRAM\nof the bicycle does not change.\nExplain, without calculation, the ef fect of this change on the angular speed of the pedals.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............" }, { "id": "9702-2025-mj-42-q02", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_42.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_42.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2025-mj-42-q02-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2025-mj-42-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-42-q02", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_42.pdf?download=true", "source_pages": [ 9, 10 ], "marks": 12 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n2 (a) (i) State what is represented by a gravitational field line.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\n..................................................................................................................................... [2]\nOD\n(ii) The Earth may be considered as a uniform sphere, as shown in Fig. 2.1.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nEarth\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nFig. 2.1 TON\nOD\nOn Fig. 2.1, draw field lines to represent the Earth’s gravitational field outside the Earth.\n[2]\n(b) The Earth’s magnetic field may be considered as being due to the Earth acting as a long\nNIGRAM\nsolenoid, as shown in Fig. 2.2.\naxis of\nSIHT magnetic\nrotation\npole\nNI\nETIRW\nsolenoid\nTON\nEquator OD\nNIGRAM\nmagnetic\npole\nSIHT\nFig. 2.2 NI\nETIRW\nThe magnetic poles do not align with the geographic poles, which are on the axis of rotation.\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:249)(cid:182)(cid:254)(cid:215)\n© UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:239)(cid:244)(cid:214)(cid:288)(cid:262)(cid:239)(cid:221)(cid:264)(cid:247)(cid:251)(cid:233)(cid:235)(cid:261)(cid:187)(cid:293)(cid:258) OD\n(cid:293)(cid:277)(cid:213)(cid:277)(cid:181)(cid:245)(cid:261)(cid:277)(cid:261)(cid:229)(cid:261)(cid:197)(cid:197)(cid:277)(cid:293)(cid:245)(cid:197)(cid:213)\nNIGRAM\n7\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44)\nFig. 2.3 is a copy of Fig. 2.2 without the labels but with two magnetic field lines shown.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nFig. 2.3\n(i) On Fig. 2.3, label the magnetic poles with the letters N and S to indicate which one is the SIHT\nmagnetic N pole and which one is the magnetic S pole. [1]\nNI\nETIRW\n(ii) On Fig. 2.3, draw field lines to represent the Earth’s magnetic field outside the Earth. [2]\nTON\n(c) An observer moves around the surface of the Earth.\nOD\n(i) Use your answer in (a)(ii) to ex plain why the observed gravitational field of the Earth\ndoes not vary around the surface.\n........................................................................................................................................... NIGRAM\n...........................................................................................................................................\nSIHT\n..................................................................................................................................... [2]\nNI\nETIRW\n(ii) With reference to your answer in (b)(ii), describe how the observed magnetic field of the\nEarth vari" }, { "id": "9702-2025-mj-42-q03", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2025-mj-42-q03-p01.png", "9702-topic-16-thermodynamics/assets/9702-2025-mj-42-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-42-q03", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_42.pdf?download=true", "source_pages": [ 10, 11 ], "marks": 13 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44)\n3 (a) Define specific heat capacity.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n10–3 m3 at a temperature of 0 °C. (b) A block of aluminium has a volume of 3.612 ×\n3 m–3 kg at 0 °C. Aluminium has a density of 2.700 × 10\nNIGRAM\n3 m–3 kg at 500 °C. It has a density of 2.620 × 10\nThe block is heated so that its temperature increases from 0 °C to 500 °C at an atmospheric SIHT\n105 Pa. pressure of 1.01 ×\nNI\nThe increase in internal energy of the block is 4.38 MJ.\nETIRW\n(i) Calculate the mass of the block.\nTON\nOD\nNIGRAM\nSIHT\nmass = .................................................... kg [2]\nNI\n10–3 m3. ETIRW (ii) Show that the volume of the block at a temperature of 500 °C is 3.722 ×\nTON\nOD\n[1]\nNIGRAM\n(iii) Use the information in (b)(ii) to determine the magnitude of the work done on the block\nwhen its temperature is raised from 0 °C to 500 °C.\nSIHT\nNI\nETIRW\nTON\nOD\nwork done = ...................................................... J [2] NIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:249)(cid:182)(cid:256)(cid:215)\n© UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:240)(cid:242)(cid:206)(cid:292)(cid:252)(cid:266)(cid:223)(cid:240)(cid:257)(cid:181)(cid:207)(cid:239)(cid:243)(cid:235)(cid:285)(cid:258) OD\n(cid:293)(cid:229)(cid:245)(cid:213)(cid:181)(cid:277)(cid:293)(cid:213)(cid:245)(cid:245)(cid:229)(cid:197)(cid:261)(cid:245)(cid:229)(cid:181)(cid:197)(cid:213)\nNIGRAM\n9\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:10)(cid:44)\n(iv) Explain whether the work done on the block is positive or negative.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\n..................................................................................................................................... [2]\nOD\n(v) Use the first law of thermodynamics to determine, to three significant figures, a value for\nthe specific heat capacity of aluminium. Explain your reasoning. Give a unit with your\nanswer.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nspecific heat capacity = ................................... unit .............. [3]\nSIHT\n(c) Without further calculation" }, { "id": "9702-2025-mj-42-q04", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_42.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2025-mj-42-q04-p01.png", "9702-topic-15-ideal-gases/assets/9702-2025-mj-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-42-q04", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_42.pdf?download=true", "source_pages": [ 12 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:1)(cid:44)\n4 (a) The equation of state for an ideal gas may be written as\nSIHT\nNI pVA = NBT\nETIRW\nwhere p is the pressure of the gas, V is the volume of the gas, A is the Avogadro constant, B\nTON is another constant and N is the number of molecules of the gas.\nOD\n(i) State the meaning, in the equation, of the symbol T.\n..................................................................................................................................... [1]\nNIGRAM\n(ii) Identify the constant B.\n..................................................................................................................................... [1] SIHT\nNI\n(b) The product pV for an ideal gas is also given by\nETIRW\n1 2〉. Nm 〈c pV =\nTON 3\n2〉. OD (i) State the meanings, in this equation, of the symbols m and 〈c\nm: ......................................................................................................................................\n2〉: NIGRAM ................................................................................................................................... 〈c\n[2]\nSIHT\n(ii) Use the equations in (a) and (b) to derive an expression, in terms of A, B and T, for the\nof a molecule of the gas. mean kinetic energy E NI\nK\nETIRW\nTON\nOD\nNIGRAM\nE = ......................................................... [2]\nSIHT\nK\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:249)(cid:184)(cid:254)(cid:215)\n© UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:237)(cid:242)(cid:215)(cid:290)(cid:244)(cid:272)(cid:225)(cid:247)(cid:266)(cid:271)(cid:179)(cid:237)(cid:279)(cid:275)(cid:277)(cid:258) OD\n(cid:293)(cid:245)(cid:277)(cid:277)(cid:181)(cid:277)(cid:197)(cid:213)(cid:213)(cid:197)(cid:229)(cid:261)(cid:261)(cid:213)(cid:229)(cid:181)(cid:245)(cid:213)\nNIGRAM\n11\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)\n(c) On Fig. 4.1, sketch the variation with T of the root-mean-square (r .m.s.) speed of the\nSIHT\nmolecules of an ideal gas.\nNI\nETIRW\nTON\nr.m.s. speed\nOD\nNIGRAM\n0\n0\nT\nSIHT\nFig. 4.1 NI\nETIRW [2]\nTON [Total: 8]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:184)(cid:254)(cid:215) [Turn over © UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:238)(cid:241)(cid:207)(cid:296)(cid:240)(cid:288)(cid:216)(cid:257)(cid:247)(cid:218)(cid:295)(cid:261)(cid:195)(cid:275)(cid:293)(cid:258) OD\n(cid:293)(cid:245)(cid:293)(cid:213)(cid:245)(cid:245)(cid:229)(cid:181)(cid:197)(cid:181)(cid:245)(cid:261)(cid:261)(cid:181)(cid:197)(cid:245)(cid:293)(cid:213)" }, { "id": "9702-2025-mj-42-q05", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2025-mj-42-q05-p01.png", "9702-topic-17-oscillations/assets/9702-2025-mj-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-42-q05", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_42.pdf?download=true", "source_pages": [ 13 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44)\n5 (a) State what is meant by simple harmonic motion.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A block is suspended by a spring. The block oscillates vertically with simple harmonic motion.\nThe velocity v of the block varies with time t according to\nNIGRAM\nv = 0.56 cos 16t\nSIHT\ns–1 and t is in s. where v is in m\nNI\nETIRW\n(i) Calculate the period of the oscillation.\nTON\nOD\nNIGRAM period = ...................................................... s [1]\nof the oscillation. (ii) Determine the amplitude x\n0 SIHT\nNI\nETIRW\nTON\nOD\nx = ..................................................... m [2]\n0\nNIGRAM\n(iii) Use your answer in (b)(ii) to determine the equation for v in terms of the displacement x\ns–1 and x is in m. of the block, where v is in m\nSIHT\nNI\nETIRW\nTON\nOD\nv = ......................................................... [1]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:249)(cid:184)(cid:256)(cid:215)\n© UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:238)(cid:244)(cid:207)(cid:286)(cid:254)(cid:297)(cid:227)(cid:255)(cid:240)(cid:209)(cid:197)(cid:233)(cid:289)(cid:259)(cid:269)(cid:258) OD\n(cid:293)(cid:197)(cid:181)(cid:213)(cid:181)(cid:245)(cid:229)(cid:277)(cid:229)(cid:277)(cid:261)(cid:261)(cid:197)(cid:181)(cid:293)(cid:245)(cid:245)(cid:213)\nNIGRAM\n13\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44)\n(iv) On Fig. 5.1, sketch the variation of v with x.\nSIHT\n0.8 NI\nETIRW\ns–1 v / m\nTON\n0.4 OD\nNIGRAM\n0\n–6 –4 –2 0 2 4 6\nx / cm\nSIHT\nNI\n–0.4\nETIRW\nTON\nOD\n–0.8\nFig. 5.1\n[3]\nNIGRAM\n[Total: 9]\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:251)(cid:184)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:237)(cid:243)(cid:215)(cid:300)(cid:258)(cid:281)(cid:214)(cid:249)(cid:257)(cid:280)(cid:273)(cid:209)(cid:181)(cid:259)(cid:285)(cid:258) OD\n(cid:293)(cid:197)(cid:197)(cid:277)(cid:245)(cid:277)(cid:197)(cid:245)(cid:181)(cid:293)(cid:213)(cid:261)(cid:197)(cid:213)(cid:261)(cid:181)(cid:293)(cid:213)" }, { "id": "9702-2025-mj-42-q06", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_42.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2025-mj-42-q06-p01.png", "9702-topic-18-electric-fields/assets/9702-2025-mj-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-42-q06", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_42.pdf?download=true", "source_pages": [ 14 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:5)(cid:44)\n6 Two parallel metal plates X and Y are separated by a distance of 0.041 m, as shown in Fig. 6.1.\nSIHT\nY X NI\nETIRW\nTON\nelectron\nOD\nNIGRAM\nSIHT\nvacuum\nNI\nETIRW\n0.041 m\nTON\nFig. 6.1 OD\nThere is a vacuum between the plates. An electron is at rest at the centre of plate X.\nA potential dif ference (p.d.) of 58 kV is applied across the plates. This causes the electron to NIGRAM\naccelerate towards plate Y.\nSIHT (a) On Fig. 6.1, use the symbols + and – to indicate which of plates X and Y is the positive plate\nand which is the negative plate. [1]\nNI\nETIRW\n(b) (i) Calculate the electric field strength E between the plates. Give a unit with your answer.\nTON\nOD\nNIGRAM\nE = ................................... unit .............. [2]\nSIHT\n(ii) Determine the acceleration of the electron.\nNI\nETIRW\nTON\nOD\ns–2 [2] acceleration = ................................................ m\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:181)(cid:258)(cid:215)\n© UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:238)(cid:241)(cid:214)(cid:294)(cid:237)(cid:289)(cid:232)(cid:239)(cid:262)(cid:187)(cid:173)(cid:268)(cid:177)(cid:179)(cid:293)(cid:258) OD\n(cid:293)(cid:293)(cid:197)(cid:213)(cid:181)(cid:245)(cid:261)(cid:213)(cid:213)(cid:245)(cid:213)(cid:197)(cid:261)(cid:277)(cid:229)(cid:245)(cid:181)(cid:213)\nNIGRAM\n15\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44)\n(c) Many electrons are now accelerated from rest from plate X to plate Y in Fig. 6.1. When\nSIHT\nthe electrons hit plate Y, the absorption of their kinetic energies results in the emission of\nNI electromagnetic waves.\nETIRW\n(i) Show that the minimum wavelength of these electromagnetic waves is 21 pm.\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n[3]\nTON\n(ii) State the region of the electromagnetic spectrum that contains these waves.\nOD\n..................................................................................................................................... [1]\n(iii) Explain how these electromagnetic waves may be used to form images of internal body\nNIGRAM structures.\n...........................................................................................................................................\nSIHT\n........................................................................................................................................... NI\nETIRW\n...........................................................................................................................................\nTON\n..................................................................................................................................... [2]\nOD\n[Total: 11]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)" }, { "id": "9702-2025-mj-42-q07", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_42.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2025-mj-42-q07-p01.png", "9702-topic-19-capacitance/assets/9702-2025-mj-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-42-q07", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_42.pdf?download=true", "source_pages": [ 15 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44)\n7 Fig. 7.1 shows a circuit containing a capacitor of capacitance C and a resistor of resistance R.\nSIHT\nC NI\nETIRW\nTON\nOD\nR\nNIGRAM\nFig. 7.1\nSIHT Initially, the switch is open and the potential difference (p.d.) across the capacitor is 12 V.\nNI\nThe switch is closed at time t = 0 and the capacitor discharges through the resistor. ETIRW\nacross the capacitor Fig. 7.2 shows the variation of the charge Q on the capacitor with the p.d. V\nTON C\nas the capacitor discharges. Fig. 7.3 shows the variation of the current I in the resistor with the\nOD\nacross the resistor as the capacitor discharges. p.d. V\nR\n8 2\nNIGRAM\nQ I / mC / mA\nSIHT\n4 1\nNI\nETIRW\nTON\n0 0\nOD 0 4 8 12 0 4 8 12\nV V / V / V\nC R\nFig. 7.2 Fig. 7.3\nNIGRAM\nand V . (a) State the relationship between V\nC R\nSIHT\n............................................................................................................................................. [1]\nNI\nETIRW\n(b) Determine:\nTON\n(i) the capacitance C, in μF\nOD\nNIGRAM\nC = .................................................... μF [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:252)(cid:181)(cid:260)(cid:215)\n© UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:237)(cid:243)(cid:206)(cid:298)(cid:259)(cid:280)(cid:230)(cid:263)(cid:244)(cid:245)(cid:203)(cid:208)(cid:199)(cid:227)(cid:285)(cid:258) OD\n(cid:293)(cid:213)(cid:293)(cid:277)(cid:181)(cid:277)(cid:293)(cid:277)(cid:229)(cid:229)(cid:245)(cid:197)(cid:197)(cid:245)(cid:293)(cid:181)(cid:181)(cid:213)\nNIGRAM\n17\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44)\n(ii) the resistance R, in kΩ\nSIHT\nNI\nETIRW\nTON\nOD\nR = ................................................... kΩ [2]\nτ of the circuit. (iii) the time constant NIGRAM\nSIHT\nNI\nETIRW\nTON\nτ = ...................................................... s [2]\nOD\n(c) Use Fig. 7.2, Fig. 7.3 and your answer in (a) to explain why the variation of Q with t is\nexponential in nature.\nNIGRAM ...................................................................................................................................................\n...................................................................................................................................................\nSIHT\n................................................................................................................................................... NI\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [3]\nOD\n[Total: 10]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\n" }, { "id": "9702-2025-mj-42-q08", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2025-mj-42-q08-p01.png", "9702-topic-21-alternating-currents/assets/9702-2025-mj-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-42-q08", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_42.pdf?download=true", "source_pages": [ 16 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:9)(cid:44)\n8 Fig. 8.1 shows a circuit that produces rectification of an alternating input voltage.\nSIHT\nNI\nETIRW\nTON\nV V R\nIN OUT OD\nNIGRAM\nFig. 8.1\nSIHT\nis sinusoidal. The rectified output voltage V is applied across resistor R. The input voltage V\nIN OUT\nNI\nETIRW with time t has amplitude V and period T, as shown in Fig. 8.2. The variation of V\nIN 0\nV TON\n0\nOD\nV\nIN\n0\n0 T 2T\nt NIGRAM\nSIHT\n–V\n0\nNI\nETIRW\nFig. 8.2\nTON\nis 6.0 V. The root-mean-square (r.m.s.) value of V\nIN\nOD\n(a) (i) State the type of rectification produced by the circuit of Fig. 8.1.\n..................................................................................................................................... [1]\nNIGRAM\n. (ii) Calculate V\n0\nSIHT\nNI\nETIRW\nTON\n= ...................................................... V [1] V\n0 OD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:252)(cid:183)(cid:258)(cid:215)\n© UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:240)(cid:243)(cid:215)(cid:300)(cid:267)(cid:258)(cid:236)(cid:256)(cid:251)(cid:207)(cid:231)(cid:206)(cid:227)(cid:283)(cid:277)(cid:258) OD\n(cid:293)(cid:261)(cid:261)(cid:213)(cid:181)(cid:277)(cid:197)(cid:277)(cid:261)(cid:277)(cid:245)(cid:261)(cid:197)(cid:213)(cid:293)(cid:181)(cid:261)(cid:213)\nNIGRAM\n19\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:10)(cid:44)\n(b) Resistor R has resistance 45 Ω.\nSIHT\nNI Assume that there is no p.d. across the diode when it is conducting.\nETIRW\nin the resistor. (i) Determine the peak power P\n0\nTON\nOD\nNIGRAM\nSIHT = ..................................................... W [2] P\n0\nNI\n(ii) On Fig. 8.3, sketch the variation of the power P in the resistor with t between t = 0 and ETIRW\nt = 2T.\nTON\nP\n0\nOD\nP\n1 P\nNIGRAM 0 2\nSIHT\n0\nNI\n0 2T T\nETIRW t\nTON\nFig. 8.3\n[3] OD\n1 P . (iii) Use the answer in (b)(ii) to explain why the mean power in the resistor is\n0 4\n........................................................................................................................................... NIGRAM\n...........................................................................................................................................\nSIHT\n..................................................................................................................................... [2]\nNI\nETIRW\n. (iv) Use the information in (b)(iii) to determine the r.m.s. value of V\nOUT\nTON\nOD\nNIGRAM\nr.m.s. voltage = ...................................................... V [1]\nSIHT\n[Total: 10] NI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:183)(cid:258)(cid:215) [Turn over © UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:239)(cid:244)(cid:207)(cid:286" }, { "id": "9702-2025-mj-42-q09", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_42.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_42.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2025-mj-42-q09-p01.png", "9702-topic-22-quantum-physics/assets/9702-2025-mj-42-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-42-q09", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_42.pdf?download=true", "source_pages": [ 17 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:1)(cid:44)\n9 (a) State what is meant by the photoelectric effect.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) The photoelectric effect is investigated in two stages using the circuit shown in Fig. 9.1.\nmetal plate\nNIGRAM\nSIHT electromagnetic X vacuum\nP f radiation, frequency\nNI V\nETIRW\nY\nTON polished\nmetal plate\nOD\nA\nFig. 9.1\nNIGRAM\nThe polished metal plate Y is illuminated with electromagnetic radiation of frequency f and\nconstant power.\nSIHT\n15 Hz. The In stage 1 of the investigation, frequency f is set to a constant value of 2.5 × 10\nNI\ncurrent I in the ammeter is varied by adjusting the potentiometer P . Fig. 9.2 shows the ETIRW\nof V at which the current just variation of I with the voltmeter reading V. There is a value V\nS\nfalls to zero.\nTON\nOD In stage 2 of the investigation, stage 1 is repeated for dif ferent values of frequency . As\nat which the current just falls to zero is frequency f is varied, the voltmeter reading V\nS\nwith f. measured. Fig. 9.3 shows the variation of V\nS\nNIGRAM\n4 8\nSIHT\nI / mA V / V\nS\nNI\nETIRW\n2 4\nTON\nOD\n0 0\n0 2 4 6 0 1 2 3\n1015 V f / V / Hz\nNIGRAM\nFig. 9.2 Fig. 9.3\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:183)(cid:260)(cid:215)\n© UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:239)(cid:241)(cid:207)(cid:296)(cid:245)(cid:247)(cid:234)(cid:248)(cid:253)(cid:273)(cid:209)(cid:266)(cid:213)(cid:267)(cid:269)(cid:258) OD\n(cid:293)(cid:181)(cid:229)(cid:277)(cid:181)(cid:245)(cid:229)(cid:213)(cid:245)(cid:197)(cid:213)(cid:261)(cid:261)(cid:181)(cid:229)(cid:245)(cid:261)(cid:213)\nNIGRAM\n21\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:2)(cid:44)\n(i) Explain, with reference to photons, why V depends on the frequency of the incident\nSIHT S\nelectromagnetic radiation.\nNI\nETIRW\n...........................................................................................................................................\nTON ...........................................................................................................................................\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n" }, { "id": "9702-2025-mj-42-q10", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_42.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_42.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2025-mj-42-q10-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2025-mj-42-q10-p02.png", "9702-topic-23-nuclear-physics/assets/9702-2025-mj-42-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2025-mj-42-q10", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_42.pdf?download=true", "source_pages": [ 18 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:3)(cid:44)\n10 (a) Radioactive decay is a spontaneous process.\nSIHT\nNI State the meaning, in this context, of the term spontaneous.\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [1]\nOD\n(b) Two radioactive isotopes X and Y each decay to form a stable isotope.\nA sample initially contains only atoms of isotope X. At this time, its activity is 4A.\nAnother sample initially contains only atoms of Y. At this time, its activity is A.\nNIGRAM\nFig. 10.1 shows the variation of the activity of each sample with time t between t = 0 and\nt = 6T. SIHT\nNI\n4A\nETIRW\nX\nTON\nOD\n3A\nactivity\nNIGRAM\n2A\nSIHT\nNI\nETIRW A\nY\nTON\nOD\n0\n0 4T 5T 6T T 2T 3T\nt\nNIGRAM\nFig. 10.1\nSIHT (i) Complete Table 10.1 to give expressions, in terms of either or both of A and T, for the\nquantities indicated for each of the samples.\nNI\nETIRW\nTable 10.1\nTON\ndecay\nsample half-life initial activity initial number of nuclei OD\nconstant\nX 4A\nNIGRAM\nY A\nSIHT\n[3]\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:250)(cid:182)(cid:258)(cid:215)\n© UCLES 2025 9702/42/M/J/25 (cid:300)(cid:199)(cid:239)(cid:242)(cid:220)(cid:300)(cid:273)(cid:253)(cid:215)(cid:261)(cid:257)(cid:221)(cid:293)(cid:266)(cid:292)(cid:227)(cid:269)(cid:258) OD\n(cid:293)(cid:293)(cid:245)(cid:213)(cid:245)(cid:181)(cid:197)(cid:277)(cid:229)(cid:213)(cid:229)(cid:261)(cid:197)(cid:213)(cid:293)(cid:245)(cid:197)(cid:213)\nNIGRAM\n23\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:4)(cid:44)\n(ii) Determine, in terms of T, the time at which the two samples will have equal activities.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ntime = ...................................................... T [3]\nSIHT\n(c) A radiation detector is placed near to one of the samples in (b).\nNI\nETIRW\nExplain why the count rate measured by the detector is less than the activity of the sample.\nTON\n...................................................................................................................................................\nOD\n...................................................................................................................................................\n............................................................................................................................................. [2]\nNIGRAM\n[Total: 9]\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:182)(cid:258)(cid:215)\n© UC" }, { "id": "9702-2025-mj-43-q01", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 1, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_43.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_43.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2025-mj-43-q01-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2025-mj-43-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-43-q01", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_43.pdf?download=true", "source_pages": [ 8 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:5)(cid:44)\n1 (a) Define gravitational potential at a point.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n160 m. (b) Mars is a planet that may be considered to be an isolated uniform sphere of radius 3.4 ×\n106 m above the A satellite of mass 122 kg is in orbit around Mars at a constant height of 1.7 ×\nNIGRAM\nsurface of the planet.\n6 m above the surface. This increases the The height of the orbit is increased to 6.8 × 10 SIHT\n108 J. gravitational potential energy of the satellite by 5.1 ×\nNI\nETIRW\n1023 kg. (i) Show that the mass of Mars is 6.4 ×\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n[3]\nTON\nφ at the surface of Mars. Give a unit with your answe.r (ii) Calculate the gravitational potential\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nφ = .................................. unit ............... [2]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:249)(cid:183)(cid:256)(cid:215)\n© UCLES 2025 9702/43/M/J/25 (cid:300)(cid:256)(cid:300)(cid:244)(cid:216)(cid:293)(cid:288)(cid:252)(cid:227)(cid:262)(cid:241)(cid:197)(cid:270)(cid:271)(cid:233)(cid:299)(cid:245)(cid:258) OD\n(cid:293)(cid:197)(cid:181)(cid:277)(cid:245)(cid:181)(cid:229)(cid:245)(cid:277)(cid:229)(cid:181)(cid:261)(cid:197)(cid:213)(cid:261)(cid:277)(cid:229)(cid:213)\nNIGRAM\n5\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n(c) The satellite in (b) is moved to an orbit in which the satellite remains at the same point above\nSIHT\nthe surface of Mars.\nNI\nETIRW\n(i) The orbit has a period of 25 hours.\nTON State what can be deduced from this about the rotation of Mars on its axis.\nOD\n...........................................................................................................................................\n..................................................................................................................................... [1]\nNIGRAM\n(ii) State one other feature of this orbit.\nSIHT ...........................................................................................................................................\nNI\n..................................................................................................................................... [1]\nETIRW\n[Total: 9]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(ci" }, { "id": "9702-2025-mj-43-q02", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 2, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_43.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_43.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2025-mj-43-q02-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2025-mj-43-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-43-q02", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_43.pdf?download=true", "source_pages": [ 9, 10 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n2 A helium atom may be modelled as a nucleus surrounded by two electrons in diametrically\nSIHT\nopposite circular orbits, each of radius 170 pm, as shown in Fig. 2.1.\nNI\nETIRW\norbit of electrons\nTON\nOD 170 pm\nelectron electron\nNIGRAM\nnucleus\nSIHT\nNI\nETIRW\nTON\nOD Fig. 2.1\n(a) State Coulomb’s law.\nNIGRAM ...................................................................................................................................................\n...................................................................................................................................................\nSIHT\n............................................................................................................................................. [2] NI\nETIRW\n(b) (i) State the charge on the nucleus, in terms of the elementary charge e.\nTON\nOD\ncharge = ....................................................... e [1]\n10–8 N. (ii) Show that the electric force between the nucleus and one of the electrons is 1.6 ×\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\n[1]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:182)(cid:254)(cid:215)\n© UCLES 2025 9702/43/M/J/25 (cid:300)(cid:256)(cid:300)(cid:243)(cid:211)(cid:297)(cid:268)(cid:258)(cid:206)(cid:247)(cid:237)(cid:249)(cid:234)(cid:271)(cid:272)(cid:195)(cid:245)(cid:258) OD\n(cid:293)(cid:277)(cid:293)(cid:213)(cid:181)(cid:245)(cid:197)(cid:181)(cid:197)(cid:181)(cid:197)(cid:261)(cid:261)(cid:181)(cid:197)(cid:277)(cid:293)(cid:213)\nNIGRAM\n7\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44)\n(c) Assume that the force in (b)(ii) is the only force on the electrons.\nSIHT\nNI (i) Calculate the speed of the orbiting electrons.\nETIRW\nTON\nOD\nNIGRAM\ns–1 [2] speed = ................................................ m SIHT\nNI\n(ii) Calculate the period of the orbit of the electrons.\nETIRW\nTON\nOD\nNIGRAM\nperiod = ....................................................... s [2]\nSIHT\n(d) In practice, the orbit of each electron is affected by the presence of the other electron.\nNI\nETIRW (i) For the position of one of the electrons, determine the ratio\nelectric field strength due to the other electron\nTON\n.\nelectric field strength due to the nucleus\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nratio = ......................................................... [2]\nTON\n(ii) Use your answer in (d)(i) to suggest and explain how the orbit of the electron is affected OD\nby the presence of the other electron.\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [1]\nSIHT [Tota" }, { "id": "9702-2025-mj-43-q03", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 3, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_43.pdf?download=true", "source_pages": [ 8 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_43.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2025-mj-43-q03-p01.png" ], "answer": { "status": "available", "id": "9702-2025-mj-43-q03", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_43.pdf?download=true", "source_pages": [ 11 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44)\n3 (a) Define specific latent heat.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Explain why, for a substance, the specific latent heat of vaporisation is usually greater than\nthe specific latent heat of fusion.\nNIGRAM\n...................................................................................................................................................\n................................................................................................................................................... SIHT\nNI\n...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\nOD ............................................................................................................................................. [3]\n(c) An ice cube of mass 37.0 g at temperature 0.0 °C is placed in a beaker containing water of\nmass 208 g at temperature 26.4 °C.\nNIGRAM\nWhen all the ice has melted, and all the water in the beaker has reached thermal equilibrium,\nthe final temperature of all the water is 10.3 °C.\nSIHT\ng–1 °C–1. The specific heat capacity of water is 4.18 J NI\nETIRW\nThe beaker has negligible specific heat capacity and is perfectly insulated from the\nsurroundings. TON\nOD\nDetermine a value, to three significant figures, for the specific latent heat of fusion of water .\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ng–1 [4] specific latent heat of fusion = ................................................. J\nNIGRAM\n[Total: 9]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:251)(cid:182)(cid:256)(cid:215)\n© UCLES 2025 9702/43/M/J/25 (cid:300)(cid:256)(cid:299)(cid:241)(cid:219)(cid:293)(cid:246)(cid:247)(cid:208)(cid:255)(cid:267)(cid:183)(cid:208)(cid:203)(cid:298)(cid:211)(cid:237)(cid:258) OD\n(cid:293)(cid:229)(cid:197)(cid:277)(cid:181)(cid:277)(cid:229)(cid:245)(cid:181)(cid:293)(cid:293)(cid:261)(cid:197)(cid:213)(cid:261)(cid:213)(cid:293)(cid:213)" }, { "id": "9702-2025-mj-43-q04", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 4, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_43.pdf?download=true", "source_pages": [ 9 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_43.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2025-mj-43-q04-p01.png" ], "answer": { "status": "available", "id": "9702-2025-mj-43-q04", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_43.pdf?download=true", "source_pages": [ 12 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:10)(cid:44)\n4 (a) (i) State what is meant by the internal energy of a system.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\n..................................................................................................................................... [2]\nOD\n(ii) Explain why the internal energy of an ideal gas is directly proportional to the\nthermodynamic temperature of the gas.\nNIGRAM\n...........................................................................................................................................\nSIHT ...........................................................................................................................................\nNI\n...........................................................................................................................................\nETIRW\n..................................................................................................................................... [2]\nTON\nOD (b) A sample of an ideal gas at thermodynamic temperature T has internal energy U.\nThe gas is compressed so that its temperature increases to 3T.\nDuring this compression, work W is done on the gas.\nNIGRAM\nThe gas is then cooled at constant volume so that its temperature decreases to 2T.\nSIHT\nComplete Table 4.1 to show, in terms of some or all of W, T and U, the work done on the gas,\nthe thermal energy supplied to the gas and the increase in internal energy of the gas for each NI\nETIRW of the two processes.\nTable 4.1 TON\nOD\nthermal energy increase in internal\nwork done on gas\nsupplied to gas energy of gas\nNIGRAM\ncompression +W\nSIHT\nNI\ncooling\nETIRW\nTON\n[4]\nOD\n[Total: 8]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:249)(cid:182)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/43/M/J/25 (cid:300)(cid:256)(cid:300)(cid:242)(cid:211)(cid:291)(cid:250)(cid:263)(cid:233)(cid:249)(cid:246)(cid:242)(cid:268)(cid:179)(cid:174)(cid:211)(cid:253)(cid:258) OD\n(cid:293)(cid:229)(cid:181)(cid:213)(cid:245)(cid:245)(cid:197)(cid:277)(cid:229)(cid:277)(cid:181)(cid:261)(cid:197)(cid:181)(cid:293)(cid:277)(cid:245)(cid:213)" }, { "id": "9702-2025-mj-43-q05", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 5, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_43.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_43.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2025-mj-43-q05-p01.png", "9702-topic-17-oscillations/assets/9702-2025-mj-43-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-43-q05", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_43.pdf?download=true", "source_pages": [ 13 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:1)(cid:44)\n5 A cuboidal block floats in a liquid with its base horizontal, as shown in Fig. 5.1.\nSIHT\nblock NI\nETIRW\nTON\nliquid surface\nOD\nh\nNIGRAM\nSIHT\nFig. 5.1\nNI\nThe base of the block is at a depth h below the surface of the liquid. ETIRW\nThe block is displaced downwards by a small distance and then released so that it oscillates. TON\nOD\nFig. 5.2 shows the variation with h of the acceleration a of the block.\n1.0\nNIGRAM s–2 / m a\n0 SIHT\n2.4 0 0.4 0.8 1.2 1.6 2.0\n/ m h NI\nETIRW\n–1.0 TON\nOD\nFig. 5.2\nof the block. Fig. 5.3 shows the variation with h of the kinetic energy E\nK\nNIGRAM\n10\n/ J E SIHT\nK\nNI\n5 ETIRW\nTON\nOD\n0\n2.4 0.4 0.8 1.2 1.6 2.0 0\nh / m\nNIGRAM\nFig. 5.3\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:184)(cid:254)(cid:215)\n© UCLES 2025 9702/43/M/J/25 (cid:300)(cid:256)(cid:298)(cid:241)(cid:210)(cid:295)(cid:238)(cid:289)(cid:210)(cid:264)(cid:260)(cid:269)(cid:180)(cid:201)(cid:254)(cid:299)(cid:261)(cid:258) OD\n(cid:293)(cid:245)(cid:229)(cid:213)(cid:181)(cid:277)(cid:261)(cid:245)(cid:277)(cid:213)(cid:293)(cid:197)(cid:197)(cid:245)(cid:261)(cid:213)(cid:213)(cid:213)\nNIGRAM\n11\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)\n(a) (i) Determine the amplitude of the oscillations.\nSIHT\nNI amplitude = ...................................................... m [1]\nETIRW\n(ii) State what the line in Fig. 5.2 shows about the nature of the oscillations.\nTON\n..................................................................................................................................... [1]\nOD\n(b) State three other quantitative conclusions that can be drawn from Fig. 5.2 and Fig. 5.3 about\nthe block and its oscillations. Use the space for any working.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\n1 ................................................................................................................................................\n...................................................................................................................................................\nNIGRAM\n2 ................................................................................................................................................\nSIHT\n...................................................................................................................................................\nNI\nETIRW\n3 ................................................................................................................................................\nTON ...................................................................................................................................................\n[3]\nOD\nof the oscillations. (c) On Fig. 5.4, sketch the variation with h of the potential energy E\nP\n10" }, { "id": "9702-2025-mj-43-q06", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 6, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 12, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_43.pdf?download=true", "source_pages": [ 12, 13, 14 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_43.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2025-mj-43-q06-p01.png", "9702-topic-21-alternating-currents/assets/9702-2025-mj-43-q06-p02.png", "9702-topic-21-alternating-currents/assets/9702-2025-mj-43-q06-p03.png" ], "answer": { "status": "available", "id": "9702-2025-mj-43-q06", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_43.pdf?download=true", "source_pages": [ 14 ], "marks": 12 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44)\n6 Fig. 6.1 shows a circuit that rectifies an alternating input voltage V and produces an output\nSIHT IN\nacross a resistor R. voltage V\nOUT\nNI\nETIRW\nW Y\nTON\nrectification OD\nV V C R\nIN OUT circuit\nX Z\nNIGRAM\nFig. 6.1\nSIHT\nNI The four terminals of the rectification circuit are labelled W, X, Y and Z.\nETIRW\nA capacitor C is connected in parallel with resistor R.\nTON (a) (i) State what is meant by rectification.\nOD\n...........................................................................................................................................\n..................................................................................................................................... [1]\nNIGRAM\n(ii) State the purpose of capacitor C.\nSIHT ...........................................................................................................................................\nNI\n..................................................................................................................................... [1]\nETIRW\nand V . (b) Fig. 6.2 shows the variations with time t of the potential differences (p.d.s) V\nTON IN OUT\n12 OD\nV 8\nOUT\n/ V p.d.\nNIGRAM\n4\nSIHT 0\n0 10 20 30 40\nNI t / ms\n–4\nETIRW\n–8\nTON\nV\nIN OD\n–12\nFig. 6.2\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:184)(cid:256)(cid:215)\n© UCLES 2025 9702/43/M/J/25 (cid:300)(cid:256)(cid:297)(cid:243)(cid:218)(cid:299)(cid:260)(cid:280)(cid:212)(cid:240)(cid:246)(cid:211)(cid:198)(cid:269)(cid:252)(cid:251)(cid:253)(cid:258) OD\n(cid:293)(cid:197)(cid:261)(cid:277)(cid:181)(cid:245)(cid:293)(cid:181)(cid:293)(cid:261)(cid:197)(cid:197)(cid:261)(cid:277)(cid:197)(cid:277)(cid:213)(cid:213)\nNIGRAM\n13\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44)\n(i) The variation of V with t can be represented by\nSIHT IN\nNI = A cos Bt V\nIN\nETIRW\nwhere A and B are constants.\nTON\nDetermine the values of A and B. Give a unit with your answer for A.\nOD\nNIGRAM\nA = ........................................ unit ...............\ns–1 B = .................................................... rad SIHT\n[2]\nNI\nETIRW\n(ii) Determine the type of rectification produced by the circuit in Fig. 6.1.\nTON\n..................................................................................................................................... [1]\nOD\n(iii) On Fig. 6.3, draw the circuit diagram for the components inside the rectification circuit.\nNIGRAM\nW Y\nSIHT\nNI\nETIRW\nTON\nOD\nX Z\nNIGRAM\nFig. 6.3\nSIHT [2]\nNI\n(iv) Determine a value for the time constant for the discharge of the capacitor C through the\nETIRW\nresistor R in Fig. 6.1.\nTON\nOD\nNIGRAM\nSIHT\ntime constant = ....................................................... s [3] NI\nETIRW\nTON\n(cid:300)(cid:211)(cid:" }, { "id": "9702-2025-mj-43-q07", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 7, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_43.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2025-mj-43-q07-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2025-mj-43-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-43-q07", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_43.pdf?download=true", "source_pages": [ 15 ], "marks": 10 }, "text_excerpt": "ETIRW\nTON\n7 (a) Define magnetic flux density.\nOD\n...................................................................................................................................................\n...................................................................................................................................................\nNIGRAM\n............................................................................................................................................. [2]\nSIHT\n(b) A particle of mass m and charge +Q moves at speed v into a region where there is a uniform\nmagnetic field, as shown in Fig. 7.1. NI\nETIRW\npath of\nTON\nregion of\nparticle\nmagnetic field OD\nNIGRAM particle\nY Z\nSIHT\nNI\nETIRW\nTON\nOD\nFig. 7.1\nThe uniform magnetic field is into the page and has flux density B. The particle enters the\nregion of the field at point Y.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:181)(cid:258)(cid:215)\n© UCLES 2025 9702/43/M/J/25 (cid:300)(cid:256)(cid:297)(cid:242)(cid:211)(cid:291)(cid:243)(cid:272)(cid:215)(cid:256)(cid:256)(cid:185)(cid:174)(cid:176)(cid:236)(cid:203)(cid:245)(cid:258) OD\n(cid:293)(cid:293)(cid:245)(cid:277)(cid:181)(cid:245)(cid:197)(cid:245)(cid:277)(cid:293)(cid:277)(cid:261)(cid:197)(cid:181)(cid:261)(cid:277)(cid:277)(cid:213)\nNIGRAM\n15\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44)\n(i) State an expression, in terms of some or all of m, Q, B and v, for the magnetic force F\nSIHT\nthat acts on the particle when it is at point Y.\nNI\nETIRW\nTON\nOD\nF = ......................................................... [1]\n(ii) On Fig. 7.1, draw an arrow at point Y to indicate the direction of the force in (b)(i). [1]\nNIGRAM\n(iii) On Fig. 7.1, draw a line to show a possible path for the particle through the region of the\nmagnetic field. [1] SIHT\nNI\n(c) (i) Explain how an electric field can be used with the magnetic field to ensure that the\nETIRW\nparticle in (b) now passes through point Z.\nTON\nOD\nNIGRAM\nSIHT\n...........................................................................................................................................\nNI\nETIRW ...........................................................................................................................................\n........................................................................................................................................... TON\nOD\n...........................................................................................................................................\n..................................................................................................................................... [3]\nNIGRAM\n(ii) Derive an expression for v in terms of B and the electric field strength E.\nSIHT\nNI\nETIRW\nTON\nOD\nv = ......................" }, { "id": "9702-2025-mj-43-q08", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_43.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_43.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2025-mj-43-q08-p01.png", "9702-topic-22-quantum-physics/assets/9702-2025-mj-43-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-43-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_43.pdf?download=true", "source_pages": [ 16, 17 ], "marks": 13 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44)\n8 (a) State what is meant by the de Broglie wavelength.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n............................................................................................................................................. [1]\nTON\n107 s–1. m (b) Calculate the de Broglie wavelength of an electron moving at a speed of 4.9 ×\nOD\nNIGRAM\nSIHT\nNI\nwavelength = ...................................................... m [2]\nETIRW\n(c) State one similarity and one difference between an electron and a positron.\nTON\nOD similarity: ...................................................................................................................................\n...................................................................................................................................................\nNIGRAM difference: .................................................................................................................................\n...................................................................................................................................................\nSIHT\n[2]\nNI\n7 s–1 ETIRW m collides with a positron that is travelling at (d) An electron moving at a speed of 4.9 × 10\nthe same speed in the opposite direction. As a result of the collision, two gamma-ray photons\nare produced. TON\nOD\n(i) State the name of this type of reaction.\n..................................................................................................................................... [1]\nNIGRAM\n(ii) State what happens to the electron and to the positron.\n...........................................................................................................................................\nSIHT\nNI ...........................................................................................................................................\nETIRW\n..................................................................................................................................... [2]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:181)(cid:260)(cid:215)\n© UCLES 2025 9702/43/M/J/25 (cid:300)(cid:256)(cid:298)(cid:244)(cid:219)(cid:287)(cid:253)(cid:297)(cid:213)(cid:248)(cid:250)(cid:247)(cid:204)(cid:300)(cid:206)(cid:219)(cid:237)(cid:258) OD\n(cid:293)(cid:213)(cid:213)(cid:213)(cid:181)(cid:277)(cid:229)(cid:181)(cid:293)(cid:181)(cid:181)(cid:261)(cid:261)(cid:213)(cid:197)(cid:213)(cid:277)(cid:213)\nNIGRAM\n17\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44)\n(iii) Explain why two gamma-ray photons are produced, rather th" }, { "id": "9702-2025-mj-43-q09", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 9, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_43.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_43.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2025-mj-43-q09-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2025-mj-43-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2025-mj-43-q09", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_43.pdf?download=true", "source_pages": [ 18 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:9)(cid:44)\n9 (a) Define activity of a radioactive sample.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n............................................................................................................................................. [1]\nTON\n(b) Explain why the variation with time of the activity of a radioactive sample is exponential in\nOD\nnature.\n...................................................................................................................................................\nNIGRAM\n...................................................................................................................................................\n................................................................................................................................................... SIHT\nNI\n...................................................................................................................................................\nETIRW\n............................................................................................................................................. [3]\nTON\nOD (c) A sample contains a single radioactive isotope that decays to form a stable isotope.\nThe sample has an activity of 180 Bq at time t = 0.\nAt a time 8.4 minutes later, the activity is 120 Bq.\nNIGRAM\nmin–1, of the radioactive isotope. (i) Determine the decay constant, in\nSIHT\nNI\nETIRW\nTON\nOD\nmin–1 decay constant = ................................................ [2]\nNIGRAM\n(ii) Use your answer in (c)(i) to determine the half-life, in min, of the radioactive isotope.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nhalf-life = ................................................... min [1]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:250)(cid:183)(cid:258)(cid:215)\n© UCLES 2025 9702/43/M/J/25 (cid:300)(cid:256)(cid:299)(cid:244)(cid:210)(cid:285)(cid:261)(cid:239)(cid:219)(cid:239)(cid:241)(cid:205)(cid:232)(cid:298)(cid:186)(cid:291)(cid:261)(cid:258) OD\n(cid:293)(cid:261)(cid:181)(cid:277)(cid:181)(cid:277)(cid:261)(cid:181)(cid:197)(cid:261)(cid:181)(cid:197)(cid:261)(cid:245)(cid:197)(cid:213)(cid:229)(cid:213)\nNIGRAM\n19\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:10)(cid:44)\n(iii) On Fig. 9.1, sketch the variation of the activity A of the sample with t for values of t\nSIHT\nbetween t = 0 and t = 24 min.\nNI\nETIRW\n200\nTON\nOD\n150\n/ Bq A NIGRAM\n100\nSIHT\nNI\nETIRW\n50\nTON\nOD\n0\n24 4 8 12 16 20 0\nNIGRAM t / min\nFig. 9.1\nSIHT\n[3]\nNI\nETIRW\n[Total: 10]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(c" }, { "id": "9702-2025-mj-43-q10", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 4, "variant": "43", "question_number": 10, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_43.pdf?download=true", "source_pages": [ 20, 21, 22, 23, 24 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_43.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-mj-43-q10-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-mj-43-q10-p02.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-mj-43-q10-p03.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-mj-43-q10-p04.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-mj-43-q10-p05.png" ], "answer": { "status": "available", "id": "9702-2025-mj-43-q10", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_43.pdf?download=true", "source_pages": [ 19 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:1)(cid:44)\n10 (a) State Hubble’s law.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A star in a distant galaxy emits radiation that has a maximum intensity of emission at a\n10–7 m. wavelength of 4.62 ×\nNIGRAM\nObservations of the galaxy made on the Earth detect the maximum intensity of emission from\n10–7 m. the star at a wavelength of 4.91 ×\nSIHT\n(i) Explain why the observed wavelength and the emitted wavelength have different values.\nNI\nETIRW\n...........................................................................................................................................\nTON\n...........................................................................................................................................\nOD\n..................................................................................................................................... [2]\n(ii) Calculate the speed of the star relative to the Earth.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 [2] speed = ................................................ m\n(iii) The wavelength of maximum intensity of emission is used to determine a value for the\nNIGRAM\nsurface temperature of the star.\nExplain how the temperature determined using the observed wavelength compares with SIHT\nthe true value of temperature determined using the emitted wavelength.\nNI\nETIRW\n...........................................................................................................................................\nTON\n...........................................................................................................................................\nOD\n..................................................................................................................................... [2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:183)(cid:260)(cid:215)\n© UCLES 2025 9702/43/M/J/25 (cid:300)(cid:256)(cid:300)(cid:242)(cid:218)(cid:289)(cid:251)(cid:266)(cid:217)(cid:263)(cid:263)(cid:275)(cid:210)(cid:174)(cid:192)(cid:243)(cid:253)(cid:258) OD\n(cid:293)(cid:181)(cid:277)(cid:213)(cid:181)(cid:245)(cid:293)(cid:245)(cid:181)(cid:213)(cid:277)(cid:197)(cid:197)(cid:277)(cid:261)(cid:277)(cid:229)(cid:213)\nNIGRAM\n21\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:2)(cid:44)\n10–18 s–1. (c) A value for the Hubble constant is 2.3 ×\nSIHT\n" }, { "id": "9702-2025-mj-51-q01", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "51", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_51.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-mj-51-q01-p01.png", "9702-practical-skills/assets/9702-2025-mj-51-q01-p02.png", "9702-practical-skills/assets/9702-2025-mj-51-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2025-mj-51-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_51.pdf?download=true", "source_pages": [ 7, 8, 9 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:44)\n1 Fig. 1.1 shows a thin coil of cross-sectional area A and length l connected to a resistor of resistance\nSIHT\nS and two terminals.\nNI\nETIRW l\nTON\nOD\nS\nNIGRAM\nFig. 1.1\nSIHT\nAn alternating voltage is applied to the terminals.T he peak value of the alternating voltage is E and\nthe frequency is f. The peak value of the potential dif ference V across the resistor is determined NI\nETIRW using an oscilloscope.\nIt is suggested that V is related to f by the relationship TON\nOD\n2f ES KAN\n=\nV l\nNIGRAM\nwhere N is the number of turns on the coil and K is a constant.\nPlan a laboratory experiment to test the relationship between V and f. SIHT\nNI\nDraw a diagram showing the arrangement of your equipment.\nETIRW\nExplain how the results could be used to determine a value for K.\nTON\nIn your plan you should include: OD\n• the procedure to be followed\n• the measurements to be taken NIGRAM\n• the control of variables\nSIHT\n• the analysis of the data\nNI\nETIRW\n• any safety precautions to be taken.\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:183)(cid:254)(cid:215)\n© UCLES 2025 9702/51/M/J/25 (cid:300)(cid:195)(cid:239)(cid:249)(cid:219)(cid:296)(cid:264)(cid:298)(cid:215)(cid:246)(cid:245)(cid:221)(cid:178)(cid:187)(cid:191)(cid:179)(cid:293)(cid:258) OD\n(cid:293)(cid:245)(cid:245)(cid:213)(cid:245)(cid:277)(cid:293)(cid:181)(cid:245)(cid:229)(cid:245)(cid:197)(cid:261)(cid:277)(cid:197)(cid:213)(cid:245)(cid:213)\nNIGRAM\n3\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:4)(cid:44)\nDiagram\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n..........................................................................................................................................................\nTON\n..........................................................................................................................................................\nOD\n..........................................................................................................................................................\n..........................................................................................................................................................\nNIGRAM\n..........................................................................................................................................................\nSIHT\n..........................................................................................................................................................\nNI\nETIRW\n..........................................................................................................................................................\nTON\n...................................." }, { "id": "9702-2025-mj-51-q02", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "51", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_51.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-mj-51-q02-p01.png", "9702-practical-skills/assets/9702-2025-mj-51-q02-p02.png", "9702-practical-skills/assets/9702-2025-mj-51-q02-p03.png", "9702-practical-skills/assets/9702-2025-mj-51-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2025-mj-51-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_51.pdf?download=true", "source_pages": [ 9, 10, 11, 12 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n2 A student investigates an electrical circuit.\nSIHT\nNI The circuit is set up as shown in Fig. 2.1.\nETIRW\nZ\nTON\nOD\nA\nNIGRAM\nSIHT P Q\nNI\nETIRW\nTON\nOD Fig. 2.1\nA battery of negligible internal resistance is connected to a resistor of resistance Z. Five resistors,\neach of resistance R, are connected in parallel between P and Q.\nNIGRAM\nThe switch is closed. The total current I in the circuit is measured using the ammeter.\nSIHT\nThe experiment is then repeated by changing the number n of resistors, each of resistance R,\nconnected in parallel between P and Q. NI\nETIRW\nIt is suggested that I and n are related by the equation\nTON ( )\nR\n+ Z E = I\nn OD\nwhere E is the electromotive force (e.m.f.) of the battery.\n1 1\n(a) A graph is plotted of on the y-axis against on the x-axis.\nI n NIGRAM\nDetermine expressions for the gradient and y-intercept.\nSIHT\nNI\nETIRW\nTON\nOD\ngradient = ...............................................................\nNIGRAM\ny-intercept = ...............................................................\n[1]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:183)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/51/M/J/25 (cid:300)(cid:195)(cid:239)(cid:252)(cid:219)(cid:286)(cid:246)(cid:287)(cid:228)(cid:252)(cid:238)(cid:230)(cid:276)(cid:279)(cid:285)(cid:227)(cid:269)(cid:258) OD\n(cid:293)(cid:197)(cid:229)(cid:213)(cid:181)(cid:277)(cid:293)(cid:277)(cid:277)(cid:261)(cid:261)(cid:197)(cid:197)(cid:277)(cid:293)(cid:213)(cid:293)(cid:213)\nNIGRAM\n6\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n1\nSIHT and I are given in Table 2.1. (b) Values of n,\nn\nNI\nTable 2.1\nETIRW\nTON 1 1\n103 A–1 n I / μA /\nn I\nOD\n5 0.200 455 ± 5\nNIGRAM\n6 0.167 525 ± 5\nSIHT\nNI 7 0.143 580 ± 5\nETIRW\nTON\n8 0.125 635 ± 5\nOD\n9 0.111 685 ± 5\nNIGRAM\n11 0.0909 765 ± 5\nSIHT\nNI 1 1\n103 A–1 in Table 2.1. Include the absolute uncertainties in / . Calculate and record values of ETIRW\nI I\n[2]\nTON\n1 1 1\n103 A–1 against (c) (i) Plot a graph of / . Include error bars for . [2]\nOD I n I\n(ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Label\nboth lines. [2]\nNIGRAM\n(iii) Determine the gradient of the line of best fit. Include the absolute uncertainty in your\nanswer.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ngradient = ......................................................... [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:182)(cid:254)(cid:215)\n© UCLES 2025 9702/51/M/J/25 (cid:300)(cid:195)(cid:240)(cid:252)(cid:216)(cid:296)(cid:270)(cid:293)(cid:236)(cid:239)(cid:255)(cid:207)(cid:244)(cid:287)(cid:256)(cid:267)(cid:285)(cid:258) OD\n(cid:293)(cid:277)(cid:261)(cid:213" }, { "id": "9702-2025-mj-52-q01", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-mj-52-q01-p01.png", "9702-practical-skills/assets/9702-2025-mj-52-q01-p02.png", "9702-practical-skills/assets/9702-2025-mj-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2025-mj-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_52.pdf?download=true", "source_pages": [ 7, 8, 9 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:44)\n1 A thin solid disc of radius r and thickness z is attached to a thin axle. String is wrapped around the\nSIHT\naxle, as shown in Fig. 1.1.\nNI\nETIRW\nz\nTON\ndisc\nOD\nr axle\nNIGRAM\nSIHT\nstring\nNI\nETIRW\nTON\nOD block\nFig. 1.1\nNIGRAM\nA block of mass m is attached to the string.\nThe block is released from rest and falls downwards. The block has speed v when it has fallen SIHT\nthrough a distance h from the point of release. The value of v is determined using one light gate\nNI connected to a timer.\nETIRW\nIt is suggested that v is related to m by the relationship\nTON\n2z h πr 1\nOD = +\n2 v 2PQm P\nwhere P and Q are constants.\nNIGRAM Plan a laboratory experiment to test the relationship between v and m.\nDraw a diagram showing the arrangement of your equipment.\nSIHT\nExplain how the results could be used to determine values for P and Q. NI\nETIRW\nIn your plan you should include:\nTON\n• the procedure to be followed\nOD\n• the measurements to be taken\n• the control of variables\nNIGRAM\n• the analysis of the data\nSIHT • any safety precautions to be taken.\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:183)(cid:254)(cid:215)\n© UCLES 2025 9702/52/M/J/25 (cid:300)(cid:199)(cid:244)(cid:252)(cid:212)(cid:300)(cid:284)(cid:268)(cid:219)(cid:238)(cid:253)(cid:288)(cid:195)(cid:209)(cid:176)(cid:195)(cid:277)(cid:258) OD\n(cid:293)(cid:261)(cid:197)(cid:277)(cid:245)(cid:213)(cid:293)(cid:277)(cid:293)(cid:229)(cid:229)(cid:261)(cid:197)(cid:213)(cid:197)(cid:277)(cid:277)(cid:213)\nNIGRAM\n3\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:4)(cid:44)\nDiagram\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW ..........................................................................................................................................................\n.......................................................................................................................................................... TON\nOD\n..........................................................................................................................................................\n..........................................................................................................................................................\nNIGRAM\n..........................................................................................................................................................\n..........................................................................................................................................................\nSIHT\nNI ..........................................................................................................................................................\nETIRW" }, { "id": "9702-2025-mj-52-q02", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-mj-52-q02-p01.png", "9702-practical-skills/assets/9702-2025-mj-52-q02-p02.png", "9702-practical-skills/assets/9702-2025-mj-52-q02-p03.png", "9702-practical-skills/assets/9702-2025-mj-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2025-mj-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_52.pdf?download=true", "source_pages": [ 10, 11, 12 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n2 A student investigates a circuit containing capacitors. The circuit is connected with a capacitor of\nSIHT\ncapacitance A, as shown in Fig. 2.1.\nNI\nETIRW\nX\nTON\nA\nOD\nY\nNIGRAM\nP Q\nSIHT\nNI\nETIRW\nTON\nV\nOD\nZ\nNIGRAM\nFig. 2.1\nSIHT Two capacitors, each of capacitance C, are connected in parallel between P and Q.\nNI\nInitially, switch X and switch Z are closed and switch Y is open. ETIRW\nSwitches X and Z are opened. Switch Y is then closed. The maximum potential difference between\nTON\nP and Q is measured using the voltmeter . This procedure is repeated and the mean maximum\nOD potential difference V between P and Q is determined.\nThe experiment is then repeated by changing the number n of capacitors, each of capacitance C,\nconnected in parallel between P and Q.\nNIGRAM\nIt is suggested that V and n are related by the equation\nSIHT\nEA = V(nC + A)\nNI\nETIRW where E is the electromotive force (e.m.f.) of the battery.\n1 TON\non the y-axis against n on the x-axis. (a) A graph is plotted of\nV\nOD\nDetermine expressions for the gradient and y-intercept.\nNIGRAM\nSIHT\ngradient = ...............................................................\nNI\nETIRW\ny-intercept = ...............................................................\n[1]\nTON\n(cid:300)(cid:207)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:249)(cid:183)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/52/M/J/25 (cid:300)(cid:199)(cid:244)(cid:249)(cid:212)(cid:290)(cid:298)(cid:253)(cid:224)(cid:244)(cid:262)(cid:295)(cid:289)(cid:237)(cid:270)(cid:211)(cid:285)(cid:258) OD\n(cid:293)(cid:181)(cid:277)(cid:277)(cid:181)(cid:213)(cid:293)(cid:181)(cid:261)(cid:261)(cid:213)(cid:261)(cid:261)(cid:213)(cid:293)(cid:277)(cid:261)(cid:213)\nNIGRAM\n6\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n(b) Values of n and the two measured values of the maximum potential difference V and V are\nSIHT 1 2\ngiven in Table 2.1.\nNI\nETIRW\nTable 2.1\nTON\n1\nV–1 n V / V V / V V / V /\nOD 1 2 V\n2 4.30 4.20\nNIGRAM\n3 3.65 3.75\nSIHT\n4 3.30 3.20 NI\nETIRW\n5 2.85 2.95 TON\nOD\n6 2.65 2.55\nNIGRAM 7 2.30 2.40\nSIHT\n1\nV–1 Calculate and record values of V / V and in Table 2.1. Include the absolute uncertainties / NI\nV 1 ETIRW\nin V and . [2]\nV\nTON 1 1\nV–1 against n. Include error bars for / . [2] (c) (i) Plot a graph of\nV V\nOD\n(ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Label\nboth lines. [2]\nNIGRAM (iii) Determine the gradient of the line of best fit. Include the absolute uncertainty in your\nanswer.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ngradient = .......................................................... [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:249)(cid:182)(cid:254)(cid:2" }, { "id": "9702-2025-mj-53-q01", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "53", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_53.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-mj-53-q01-p01.png", "9702-practical-skills/assets/9702-2025-mj-53-q01-p02.png", "9702-practical-skills/assets/9702-2025-mj-53-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2025-mj-53-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_53.pdf?download=true", "source_pages": [ 7, 8, 9 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:44)\n1 Fig. 1.1 shows a thin coil of cross-sectional area A and length l connected to a resistor of resistance\nSIHT\nS and two terminals.\nNI\nETIRW l\nTON\nOD\nS\nNIGRAM\nFig. 1.1\nSIHT\nAn alternating voltage is applied to the terminals.T he peak value of the alternating voltage is E and\nthe frequency is f. The peak value of the potential dif ference V across the resistor is determined NI\nETIRW using an oscilloscope.\nIt is suggested that V is related to f by the relationship TON\nOD\n2f ES KAN\n=\nV l\nNIGRAM\nwhere N is the number of turns on the coil and K is a constant.\nPlan a laboratory experiment to test the relationship between V and f. SIHT\nNI\nDraw a diagram showing the arrangement of your equipment.\nETIRW\nExplain how the results could be used to determine a value for K.\nTON\nIn your plan you should include: OD\n• the procedure to be followed\n• the measurements to be taken NIGRAM\n• the control of variables\nSIHT\n• the analysis of the data\nNI\nETIRW\n• any safety precautions to be taken.\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:184)(cid:254)(cid:215)\n© UCLES 2025 9702/53/M/J/25 (cid:300)(cid:259)(cid:263)(cid:251)(cid:210)(cid:287)(cid:237)(cid:272)(cid:206)(cid:260)(cid:252)(cid:295)(cid:223)(cid:185)(cid:198)(cid:250)(cid:264)(cid:258) OD\n(cid:293)(cid:277)(cid:213)(cid:277)(cid:245)(cid:277)(cid:197)(cid:245)(cid:277)(cid:181)(cid:181)(cid:261)(cid:261)(cid:213)(cid:197)(cid:277)(cid:229)(cid:213)\nNIGRAM\n3\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:4)(cid:44)\nDiagram\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n..........................................................................................................................................................\nTON\n..........................................................................................................................................................\nOD\n..........................................................................................................................................................\n..........................................................................................................................................................\nNIGRAM\n..........................................................................................................................................................\nSIHT\n..........................................................................................................................................................\nNI\nETIRW\n..........................................................................................................................................................\nTON\n...................................." }, { "id": "9702-2025-mj-53-q02", "subject": "9702", "year": 2025, "session": "May/June", "session_code": "mj", "paper": 5, "variant": "53", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_qp_53.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2025-May-June/qp/9702_s25_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-mj-53-q02-p01.png", "9702-practical-skills/assets/9702-2025-mj-53-q02-p02.png", "9702-practical-skills/assets/9702-2025-mj-53-q02-p03.png", "9702-practical-skills/assets/9702-2025-mj-53-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2025-mj-53-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-May-June/ms/9702_s25_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-May-June/9702_s25_ms_53.pdf?download=true", "source_pages": [ 9, 10, 11, 12 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n2 A student investigates an electrical circuit.\nSIHT\nNI The circuit is set up as shown in Fig. 2.1.\nETIRW\nZ\nTON\nOD\nA\nNIGRAM\nSIHT P Q\nNI\nETIRW\nTON\nOD Fig. 2.1\nA battery of negligible internal resistance is connected to a resistor of resistance Z. Five resistors,\neach of resistance R, are connected in parallel between P and Q.\nNIGRAM\nThe switch is closed. The total current I in the circuit is measured using the ammeter.\nSIHT\nThe experiment is then repeated by changing the number n of resistors, each of resistance R,\nconnected in parallel between P and Q. NI\nETIRW\nIt is suggested that I and n are related by the equation\nTON ( )\nR\n+ Z E = I\nn OD\nwhere E is the electromotive force (e.m.f.) of the battery.\n1 1\n(a) A graph is plotted of on the y-axis against on the x-axis.\nI n NIGRAM\nDetermine expressions for the gradient and y-intercept.\nSIHT\nNI\nETIRW\nTON\nOD\ngradient = ...............................................................\nNIGRAM\ny-intercept = ...............................................................\n[1]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:184)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/53/M/J/25 (cid:300)(cid:259)(cid:263)(cid:250)(cid:210)(cid:293)(cid:255)(cid:281)(cid:233)(cid:254)(cid:243)(cid:288)(cid:253)(cid:277)(cid:296)(cid:298)(cid:240)(cid:258) OD\n(cid:293)(cid:229)(cid:261)(cid:277)(cid:181)(cid:277)(cid:197)(cid:213)(cid:245)(cid:277)(cid:197)(cid:261)(cid:197)(cid:213)(cid:293)(cid:277)(cid:181)(cid:213)\nNIGRAM\n6\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n1\nSIHT and I are given in Table 2.1. (b) Values of n,\nn\nNI\nTable 2.1\nETIRW\nTON 1 1\n103 A–1 n I / μA /\nn I\nOD\n5 0.200 455 ± 5\nNIGRAM\n6 0.167 525 ± 5\nSIHT\nNI 7 0.143 580 ± 5\nETIRW\nTON\n8 0.125 635 ± 5\nOD\n9 0.111 685 ± 5\nNIGRAM\n11 0.0909 765 ± 5\nSIHT\nNI 1 1\n103 A–1 in Table 2.1. Include the absolute uncertainties in / . Calculate and record values of ETIRW\nI I\n[2]\nTON\n1 1 1\n103 A–1 against (c) (i) Plot a graph of / . Include error bars for . [2]\nOD I n I\n(ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Label\nboth lines. [2]\nNIGRAM\n(iii) Determine the gradient of the line of best fit. Include the absolute uncertainty in your\nanswer.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ngradient = ......................................................... [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:181)(cid:254)(cid:215)\n© UCLES 2025 9702/53/M/J/25 (cid:300)(cid:259)(cid:264)(cid:250)(cid:205)(cid:287)(cid:295)(cid:275)(cid:225)(cid:265)(cid:258)(cid:277)(cid:285)(cid:285)(cid:261)(cid:194)(cid:256)(cid:258) OD\n(cid:293)(cid:245)(cid:229)(cid:277" }, { "id": "9702-2025-on-41-q01", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 1, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_41.pdf?download=true", "source_pages": [ 4, 5, 6 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_41.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2025-on-41-q01-p01.png", "9702-topic-17-oscillations/assets/9702-2025-on-41-q01-p02.png", "9702-topic-17-oscillations/assets/9702-2025-on-41-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2025-on-41-q01", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_41.pdf?download=true", "source_pages": [ 8, 9 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:5)(cid:44)\n1 (a) In terms of velocity and acceleration, describe uniform circular motion of an object.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Fig. 1.1 shows the view from above of a polystyrene ball undergoing horizontal circular motion\nof radius R.\nNIGRAM\nshadow of\npolystyrene ball\nSIHT\nNI\nETIRW screen\nP\nTON\nx\nOD\nNIGRAM\npolystyrene ball\nB\nθ SIHT\nO NI\nETIRW\nR TON\nOD path of ball\nNIGRAM\nSIHT\nNI\nlight\nETIRW\nFig. 1.1\nTON\nOD The ball is illuminated by parallel light so that a shadow of the ball forms on a screen placed\non the opposite side of the ball from the light source.\nThe line joining points O and P is perpendicular to the screen.\nNIGRAM\nω. The angular speed of the circular motion is\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:183)(cid:256)(cid:215)\n© UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:270)(cid:249)(cid:208)(cid:285)(cid:294)(cid:282)(cid:211)(cid:251)(cid:258)(cid:231)(cid:295)(cid:223)(cid:287)(cid:252)(cid:272)(cid:258) OD\n(cid:293)(cid:277)(cid:277)(cid:213)(cid:181)(cid:245)(cid:229)(cid:181)(cid:277)(cid:197)(cid:261)(cid:261)(cid:197)(cid:245)(cid:229)(cid:245)(cid:261)(cid:213)\nNIGRAM\n5\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n(i) State an expression, in terms of R and ω, for the speed v of the ball.\nSIHT\nNI\nETIRW\nTON\nv = ......................................................... [1]\nOD\nω, for the centripetal acceleration of the ball. (ii) Determine an expression, in terms of v and\nNIGRAM\nSIHT\nNI\nETIRW\nTON\ncentripetal acceleration = ......................................................... [2]\nOD\n(c) The ball in (b) is in the position shown in Fig. 1.1, such that line OB is at an angle θ to the line\nOP.\nθ, for the displacement x of the shadow (i) Determine an expression, in terms of R and\nNIGRAM\nfrom P.\nSIHT\nNI\nx = ......................................................... [1]\nETIRW\nθ is zero at time t = 0. (ii) The value of\nTON\nθ in terms of ω and t. State an expression for OD\nNIGRAM\nθ = ......................................................... [1]\nSIHT\n(iii) Use your answers in (c)(i) and (c)(ii) to show that x is given by\nNI\nETIRW\nsinω t. x = R\nTON\nOD\nNIGRAM\n[1]\n(iv) Explain, with reference to the equation in (c)(iii), why the motion of the shadow of the\nSIHT\nball on the screen may be modelled as simple harmonic.\nNI\nETIRW " }, { "id": "9702-2025-on-41-q02", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 2, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_41.pdf?download=true", "source_pages": [ 7 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_41.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2025-on-41-q02-p01.png" ], "answer": { "status": "available", "id": "9702-2025-on-41-q02", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_41.pdf?download=true", "source_pages": [ 9 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44)\n2 (a) State two ways in which the first law of thermodynamics describes that the internal energy of\nSIHT\na system may be changed.\nNI\nETIRW\n1 ................................................................................................................................................\nTON ...................................................................................................................................................\nOD\n2 ................................................................................................................................................\n...................................................................................................................................................\n[2]\nNIGRAM\n(b) (i) Use the first law of thermodynamics to explain why a bicycle pump gets hot when it is\nSIHT used to pump up a tyre quickly.\nNI\n...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\nOD ...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM ..................................................................................................................................... [3]\n(ii) With reference to molecular energies, explain why the temperature of water remains at\nSIHT\n100 °C when it vaporises in a kettle, even though it is being heated.\nNI\nETIRW ...........................................................................................................................................\n........................................................................................................................................... TON\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [3]\n[Total: 8]\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:251)(cid:182)(cid:254)(cid:215) [Turn over © UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:269)(cid:249)(cid:211)(cid:295)(cid:254)(cid:276)(cid:219)(cid:240)(cid:243)(cid:206)(cid:263)(cid:215)(cid:254)(cid:" }, { "id": "9702-2025-on-41-q03", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 3, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_41.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_41.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2025-on-41-q03-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2025-on-41-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-41-q03", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_41.pdf?download=true", "source_pages": [ 10 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44)\n3 (a) Define gravitational field at a point.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n............................................................................................................................................. [1]\nTON\n(b) Fig. 3.1 shows an isolated point mass of mass M.\nOD\nmass M P\nx\nNIGRAM\nFig. 3.1\nSIHT\nPoint P is at distance x from the point mass.\nNI\nETIRW\n(i) By considering the force exerted by the point mass on a test mass of mass m placed\nat P, derive an equation for the gravitational field strength g at P, in terms of M and x.\nTON\nIdentify any other symbols you use.\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n[2]\nTON\nOD (ii) On Fig. 3.1, draw an arrow to indicate the direction of the gravitational field at P. [1]\nx\nfrom the point mass, on the opposite side of the mass from P, as (iii) Point Q is at distance\n2\nshown in Fig. 3.2. NIGRAM\nQ mass M P\nx SIHT\nx 2\nNI\nETIRW\nFig. 3.2\nTON\nCompare the gravitational field at Q with that at P.\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:249)(cid:182)(cid:256)(cid:215)\n© UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:269)(cid:252)(cid:211)(cid:285)(cid:240)(cid:277)(cid:224)(cid:242)(cid:252)(cid:213)(cid:229)(cid:251)(cid:224)(cid:196)(cid:280)(cid:258) OD\n(cid:293)(cid:245)(cid:293)(cid:213)(cid:245)(cid:213)(cid:229)(cid:181)(cid:181)(cid:261)(cid:213)(cid:261)(cid:197)(cid:245)(cid:229)(cid:181)(cid:197)(cid:213)\nNIGRAM\n9\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:10)(cid:44)\n(c) Two identical isolated uniform spheres X and Y each have radius R. The centres of the\nSIHT\nspheres are separated by distance L, as shown in Fig. 3.3.\nNI\nETIRW X Y\nP\nTON x\nOD\nL\nFig. 3.3\nNIGRAM\nPoint P lies on the line joining the centres of X and Y, and is at a variable displacement x from\nthe centre of sphere X.\nSIHT\n. The gravitational field strength at the surface of each sphere is g\n0\nNI\nETIRW\nOn Fig. 3.4, sketch the variation with x of the gravitational field g at point P between x = R and\nx = L – R.\nTON\ng\nOD 0\ng\n1 NIGRAM g\n0 2\nSIHT\nNI\n0\nETIRW\nR L / 2 L – R\nx\nTON\n1 OD g –\n0 2\nNIGRAM\n–g\n0\nSIHT\nFig. 3.4\n[3] NI\nETIRW\n[Total: 9]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:" }, { "id": "9702-2025-on-41-q04", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 4, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_41.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_41.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2025-on-41-q04-p01.png", "9702-topic-14-temperature/assets/9702-2025-on-41-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-41-q04", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_41.pdf?download=true", "source_pages": [ 11 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:1)(cid:44)\n4 (a) State the value of absolute zero on:\nSIHT\nNI (i) the Celsius temperature scale\nETIRW\nTON\ntemperature = ..................................................... °C [1]\nOD\n(ii) the thermodynamic temperature scale. Give a unit with your answer.\nNIGRAM\ntemperature = ....................................... unit .......... [1]\nSIHT\n(b) A sample contains a fixed amount of gas. The gas has pressure p, volume V and\nNI\nthermodynamic temperature T.\nETIRW\nFig. 4.1 shows the variation of pV with kT for the sample, where k is the Boltzmann constant.\nTON\n300 OD\npV / J\nNIGRAM\n200\nSIHT\nNI\n100\nETIRW\nTON\nOD\n0\n0 2 4 6 8\n10–21 / J kT\nNIGRAM\nFig. 4.1\nSIHT (i) State what is indicated about the nature of the gas from the variation shown in Fig. 4.1.\nNI\n..................................................................................................................................... [1]\nETIRW\n(ii) Determine the number N of molecules of the gas in the sample.\nTON\nOD\nNIGRAM\nSIHT\nN = ......................................................... [2]\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:249)(cid:184)(cid:254)(cid:215)\n© UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:272)(cid:252)(cid:218)(cid:287)(cid:248)(cid:259)(cid:226)(cid:249)(cid:243)(cid:239)(cid:201)(cid:249)(cid:204)(cid:252)(cid:288)(cid:258) OD\n(cid:293)(cid:229)(cid:261)(cid:277)(cid:245)(cid:213)(cid:261)(cid:181)(cid:277)(cid:181)(cid:213)(cid:197)(cid:197)(cid:213)(cid:229)(cid:181)(cid:245)(cid:213)\nNIGRAM\n11\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)\n(iii) Use your answer in (b)(ii) to determine the amount n of gas in the sample.\nSIHT\nNI\nETIRW\nTON\nOD\nn = ...................................................mol [1]\ns–1 when pV is (c) The root-mean-square (r.m.s.) speed of the molecules of the gas is 1900 m\nequal to 270 J.\nNIGRAM\nDetermine the mass, in u, of one molecule of the gas, where u is the unified atomic mass unit.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nmass = ...................................................... u [4]\nSIHT\n[Total: 10] NI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:184)(cid:254)(cid:215) [Turn over © UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:271)(cid:251)(cid:210)(cid:297)(cid:252)(cid:243)(cid:215)(cid:255)(cid:254)(cid:186)(cid:269)(cid:257)(cid:272)(cid:252)(cid:272)(cid:258) OD\n(cid:293)(cid:229)(cid:245)(cid:213)(cid:181)(cid:181)(cid:293)(cid:213)(cid:261)(cid:197)(cid:261)(cid:197)(cid:197)(cid:181)(cid:197)(cid:245)(cid:293)(cid:213)" }, { "id": "9702-2025-on-41-q05", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 5, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_41.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_41.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2025-on-41-q05-p01.png", "9702-topic-18-electric-fields/assets/9702-2025-on-41-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-41-q05", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_41.pdf?download=true", "source_pages": [ 12 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44)\n5 (a) Define electric potential at a point.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A hydrogen atom may be considered to consist of a proton and an electron separated by a\ndistance of 120 pm, as shown in Fig. 5.1.\nNIGRAM\nelectron proton P\nx\nSIHT\npm 120\nNI\nETIRW\nFig. 5.1\nTON\nThe two particles may be considered as point charges. OD\nPoint P lies on the line joining the electron and the proton and is at a variable distance x from\nthe proton.\nNIGRAM\n(i) Show that the electric potential V at point P when x = 10 pm is equal to 130 V.\nSIHT\nNI\nETIRW\nTON\nOD\n[2]\nNIGRAM\n(ii) Calculate, to two significant figures, V when x = 30 pm.\nSIHT\nNI\nETIRW\nTON\nOD\nV = .......................................................V [2]\nNIGRAM (iii) On Fig. 5.1, draw a cross (×) at one position, other than infinity , where the electric\npotential is zero. [1]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:249)(cid:184)(cid:256)(cid:215)\n© UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:271)(cid:250)(cid:210)(cid:291)(cid:266)(cid:246)(cid:228)(cid:257)(cid:261)(cid:177)(cid:175)(cid:221)(cid:174)(cid:300)(cid:296)(cid:258) OD\n(cid:293)(cid:277)(cid:229)(cid:213)(cid:245)(cid:181)(cid:293)(cid:245)(cid:293)(cid:293)(cid:245)(cid:197)(cid:261)(cid:181)(cid:293)(cid:245)(cid:245)(cid:213)\nNIGRAM\n13\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44)\n(iv) On Fig. 5.2, sketch the variation of V with x between x = 10 pm and x = 110 pm.\nSIHT\n160 NI\nETIRW\nV / V\nTON\n80 OD\nNIGRAM 0\n10 30 50 70 90 110\nx / pm\nSIHT\nNI\n–80\nETIRW\nTON\nOD\n–160\nFig. 5.2\n[3]\nNIGRAM\n[Total: 10]\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:184)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:272)(cid:249)(cid:218)(cid:293)(cid:262)(cid:262)(cid:213)(cid:247)(cid:252)(cid:248)(cid:299)(cid:213)(cid:298)(cid:300)(cid:280)(cid:258) OD\n(cid:293)(cid:277)(cid:213)(cid:277)(cid:181)(cid:213)(cid:261)(cid:277)(cid:245)(cid:277)(cid:229)(cid:197)(cid:261)(cid:213)(cid:261)(cid:181)(cid:293)(cid:213)" }, { "id": "9702-2025-on-41-q06", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_41.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_41.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2025-on-41-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2025-on-41-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-41-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_41.pdf?download=true", "source_pages": [ 13 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:5)(cid:44)\n6 (a) Two parallel plate capacitors C and C are connected to a supply that has a potential\nSIHT 1 2\n. The capacitors may be connected in series or in parallel. difference (p.d.) V\nS\nNI\nETIRW\nand the plates of the two capacitors acquire charges Q and The supply provides charge Q\nS 1\nrespectively. The p.d.s across the plates of the capacitors are V and V respectively. Q\n2 1 2\nTON\n, Q and Q relate to each other, and how V , V and Complete Table 6.1 to indicate how Q\nOD S 1 2 S 1\nrelate to each other, for series and parallel connections of the capacitors to the supply. V\n2\nTable 6.1\nNIGRAM\nrelationship between charges relationship between p.d.s\nSIHT\nseries\nNI\nETIRW\nTON parallel\nOD\n[4]\n(b) An isolated capacitor of capacitance 470 μF stores 19 mJ of energy.\nNIGRAM\n(i) Calculate the p.d. across the capacitor.\nSIHT\nNI\nETIRW\nTON\nOD\np.d. = .......................................................V [2]\n(ii) Calculate the charge on the capacitor.\nNIGRAM\nSIHT\nNI\nETIRW\ncharge = ......................................................C [2]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:181)(cid:258)(cid:215)\n© UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:271)(cid:251)(cid:219)(cid:299)(cid:249)(cid:238)(cid:231)(cid:241)(cid:239)(cid:219)(cid:199)(cid:256)(cid:286)(cid:220)(cid:272)(cid:258) OD\n(cid:293)(cid:181)(cid:213)(cid:213)(cid:245)(cid:181)(cid:197)(cid:181)(cid:277)(cid:261)(cid:229)(cid:261)(cid:197)(cid:277)(cid:229)(cid:245)(cid:181)(cid:213)\nNIGRAM\n15\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44)\n(iii) The capacitor is now connected in parallel with a capacitor of capacitance 180 μF that is\nSIHT\ninitially uncharged.\nNI\nETIRW\nDetermine the total energy, in mJ, now stored in the two capacitors.\nTON\nOD\nNIGRAM\nSIHT\nNI\nenergy = ....................................................mJ [3]\nETIRW\n[Total: 11]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:181)(cid:258)(cid:215) [Turn over © UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:272)(cid:252)(cid:211)(cid:285)(cid:245)(cid:254)(cid:210)(cid:263)(cid:258)(cid:270)(cid:275)(cid:248)(cid:186)(cid:220)(cid:288)(cid:258) OD\n(cid:293)(cid:181)(cid:229)(cid:277)(cid:181)(cid:213)(cid:229)(cid:213)(cid:261)(cid:245)(cid:245)(cid:261)(cid:197)(cid:245)(cid:197)(cid:181)(cid:229)(cid:213)" }, { "id": "9702-2025-on-41-q07", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 7, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_41.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_41.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2025-on-41-q07-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2025-on-41-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-41-q07", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_41.pdf?download=true", "source_pages": [ 14 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44)\n7 (a) State Faraday’s law of electromagnetic induction.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) An aircraft is flying horizontally at constant speed v through the Earth’ s magnetic field, as\nshown in Fig. 7.1.\nNIGRAM\nvertical component of Earth’s\naircraft magnetic field, 38 μT\nSIHT\nNI\nETIRW\nP\nTON\nv\nOD v\n68 m\nQ\nNIGRAM\nSIHT\nNI\nETIRW VIEW FROM SIDE VIEW FROM ABOVE\nTON Fig. 7.1\nOD\nAt the location of the aircraft, the vertical component of the Earth’ s magnetic field is 38 μT\ntowards the ground.\nThe distance between the wingtips P and Q of the aircraft is 68 m.\nNIGRAM\nAs the aircraft moves through the magnetic field, an electromotive force (e.m.f.) of 0.54 V is\nSIHT induced between the wingtips P and Q.\nNI\n(i) Calculate the magnetic flux cut by the wings of the aircraft in a time of 15 s. Give a unit\nETIRW\nwith your answer.\nTON\nOD\nNIGRAM\nSIHT\nmagnetic flux = …………………………………… unit ….……. [2]\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:252)(cid:181)(cid:260)(cid:215)\n© UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:272)(cid:249)(cid:211)(cid:295)(cid:263)(cid:267)(cid:229)(cid:265)(cid:265)(cid:277)(cid:177)(cid:220)(cid:284)(cid:204)(cid:280)(cid:258) OD\n(cid:293)(cid:261)(cid:245)(cid:277)(cid:245)(cid:213)(cid:229)(cid:245)(cid:293)(cid:213)(cid:261)(cid:261)(cid:261)(cid:245)(cid:293)(cid:181)(cid:181)(cid:213)\nNIGRAM\n17\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44)\n(ii) Determine the area of flux cut by the wings in a time of 15 s.\nSIHT\nNI\nETIRW\nTON\nOD\n.....................................................m2 area = [2] NIGRAM\n(iii) Use your answer in (b)(ii) to determine the speed v of the aircraft.\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 v = .................................................m [2]\nNIGRAM\n(iv) Use Lenz’s law of electromagnetic induction to explain which of the wingtips P and Q is\nat the higher induced potential.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\n...........................................................................................................................................\nOD\n..............." }, { "id": "9702-2025-on-41-q08", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 8, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_41.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_41.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2025-on-41-q08-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2025-on-41-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-41-q08", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_41.pdf?download=true", "source_pages": [ 15 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:9)(cid:44)\n8 (a) State what is meant by a photon.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n238\nU) undergoes alpha decay to produce a nucleus (b) A stationary nucleus of uranium-238 (\n92\n234\nTh). The kinetic energy of the emitted alpha particle is 4.200 MeV. A of thorium-234 (\n90\ngamma-ray photon is also emitted during the decay. NIGRAM\nAssume that the rebound kinetic energy of the thorium nucleus is negligible.\nSIHT\nT able 8.1 shows the masses of the nuclides involved in the decay reaction. The mass of the\nNI\nuranium-238 nuclide is missing. ETIRW\nTable 8.1\nTON\nOD\nnuclide nuclide mass / u\n4 4.000 407 α\n2\nNIGRAM\n234 233.915 174 Th\n90\nSIHT\n238\nU NI\n92\nETIRW\nThe total energy released in the decay of the nucleus of uranium-238 is 4.274 MeV.\nTON\nOD (i) Calculate the mass, in u, of the uranium-238 nuclide. Give your answer to five decimal\nplaces.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nmass = ...................................................... u [3]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:252)(cid:183)(cid:258)(cid:215)\n© UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:269)(cid:249)(cid:218)(cid:293)(cid:255)(cid:269)(cid:235)(cid:258)(cid:258)(cid:175)(cid:205)(cid:218)(cid:240)(cid:244)(cid:288)(cid:258) OD\n(cid:293)(cid:213)(cid:277)(cid:213)(cid:245)(cid:213)(cid:261)(cid:245)(cid:197)(cid:293)(cid:261)(cid:197)(cid:261)(cid:213)(cid:293)(cid:181)(cid:261)(cid:213)\nNIGRAM\n19\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:10)(cid:44)\n(ii) Determine a value for the wavelength of the gamma radiation emitted during the decay\nSIHT\nof the uranium-238 nucleus.\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nwavelength = ......................................................m [3]\nNI\nETIRW\n(iii) In practice, the rebound kinetic energy of the thorium nucleus is not negligible.\nTON\nExplain, without further calculation, how your answer in (b)(ii) compares with the true\nOD wavelength of gamma radiation emitted during the decay of the uranium-238 nucleus.\n...........................................................................................................................................\nNIGRAM ...........................................................................................................................................\n............................................................................" }, { "id": "9702-2025-on-41-q09", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 9, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_41.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_41.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-on-41-q09-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-on-41-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-41-q09", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_41.pdf?download=true", "source_pages": [ 16 ], "marks": 7 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:1)(cid:44)\n9 (a) State Wien’s displacement law.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n–2 of the radiant flux intensity F observed from a star X, (b) Fig. 9.1 shows the variation with d\nwhere d is the distance of the observer from the star . Fig. 9.2 shows the variation with\nλ of the rates of emission P of radiation by star X and the Sun. wavelength\nNIGRAM\n8\nSIHT\nstar X\nNI 103 m–2 F / W P\nETIRW\n4\nTON\nOD Sun\n0\n1 2 3 0 0 5 10 15\nNIGRAM\n10–7 / m λ d–2 10–23 m–2 /\nSIHT\nFig. 9.1 Fig. 9.2\nNI\nETIRW The surface temperature of the Sun is 5770 K.\nState three conclusions about star X that can be drawn from this data. The conclusions may TON\nbe qualitative or quantitative. Use the space for any working.\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD 1 ................................................................................................................................................\n...................................................................................................................................................\nNIGRAM 2 ................................................................................................................................................\n...................................................................................................................................................\nSIHT\n3 ................................................................................................................................................ NI\nETIRW\n...................................................................................................................................................\nTON [3]\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:183)(cid:260)(cid:215)\n© UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:270)(cid:251)(cid:210)(cid:297)(cid:241)(cid:300)(cid:233)(cid:250)(cid:248)(cid:241)(cid:235)(cid:254)(cid:266)(cid:292)(cid:296)(cid:258) OD\n(cid:293)(cid:293)(cid:181)(cid:277)(cid:245)(cid:181)(cid:293)(cid:181)(cid:181)(cid:181)(cid:229)(cid:197)(cid:197)(cid:181)(cid:229)(cid:245)(cid:261)(cid:213)\nNIGRAM\n21\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:2)(cid:44)\n(c) Star X is in a galaxy that is moving away from the Earth.\nSIHT\nNI Suggest, with a reason, how the line for star X in Fig. 9.2 would appear dif ferently if it had\nETIRW\nbeen obtained fr" }, { "id": "9702-2025-on-41-q10", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "41", "question_number": 10, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_41.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_41.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2025-on-41-q10-p01.png", "9702-topic-24-medical-physics/assets/9702-2025-on-41-q10-p02.png", "9702-topic-24-medical-physics/assets/9702-2025-on-41-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2025-on-41-q10", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_41.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_41.pdf?download=true", "source_pages": [ 17 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:3)(cid:44)\n10 (a) Define specific acoustic impedance.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Explain how ultrasound waves are detected by a piezoelectric crystal.\n...................................................................................................................................................\nNIGRAM\n...................................................................................................................................................\nSIHT\n............................................................................................................................................. [2]\nNI\nETIRW\n(c) Table 10.1 shows the specific acoustic impedance Z for body tissue, water and steel.\nTON\nTable 10.1\nOD\nm–2 s–1 material Z / kg\n106 body tissue 1.38 ×\nNIGRAM\n106 water 1.48 ×\nSIHT\n107 steel 4.04 ×\nNI\nETIRW\n(i) Calculate the intensity reflection coef ficient for ultrasound incident on a water–steel\nTON\nboundary.\nOD\nNIGRAM\nSIHT\nintensity reflection coefficient = ......................................................... [2] NI\nETIRW\n(ii) Explain, without calculation, what is likely to happen when ultrasound is incident on a\nbody tissue–water boundary. TON\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [2]\n[Total: 8] SIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:182)(cid:258)(cid:215)\n© UCLES 2025 9702/41/O/N/25 (cid:300)(cid:259)(cid:270)(cid:252)(cid:213)(cid:293)(cid:277)(cid:274)(cid:216)(cid:267)(cid:252)(cid:189)(cid:271)(cid:254)(cid:175)(cid:204)(cid:296)(cid:258) OD\n(cid:293)(cid:181)(cid:293)(cid:213)(cid:181)(cid:245)(cid:261)(cid:245)(cid:293)(cid:229)(cid:213)(cid:197)(cid:261)(cid:213)(cid:293)(cid:245)(cid:197)(cid:213)\nNIGRAM\n23\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:4)(cid:44)\nBLANK PAGE\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288" }, { "id": "9702-2025-on-42-q01", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 1, "topic_number": 12, "topic": "Motion in a circle", "topic_slug": "9702-topic-12-motion-in-a-circle", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_42.pdf?download=true", "source_pages": [ 4, 5 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_42.pdf", "image_paths": [ "9702-topic-12-motion-in-a-circle/assets/9702-2025-on-42-q01-p01.png", "9702-topic-12-motion-in-a-circle/assets/9702-2025-on-42-q01-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-42-q01", "html": "9702-topic-12-motion-in-a-circle/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_42.pdf?download=true", "source_pages": [ 8 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:5)(cid:44)\n106m. 1 The Earth may be considered as a uniform sphere of radius 6.37 ×\nSIHT\nNI Cambridge is at a point on the Earth’s surface that has a latitude of 52.2° north of the Equator, as\nETIRW\nshown in Fig. 1.1.\nTON\nNorth Pole\nOD\nEarth\nCambridge\nNIGRAM\n52.2°\nSIHT\nEquator\nNI\nETIRW\nTON\nOD\naxis\nSouth Pole\nNIGRAM\nFig. 1.1\nSIHT\nAs the Earth spins on its axis, Cambridge moves in a circle that is parallel to the Equator but with\na smaller radius. NI\nETIRW\n106 m. (a) (i) Show that the radius of the circle around which Cambridge moves is 3.90 ×\nTON\nOD\nNIGRAM\n[1]\n(ii) Calculate the speed at which Cambridge moves around the circle. SIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ns–1 [3] speed = ................................................ m\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:252)(cid:183)(cid:256)(cid:215)\n© UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:265)(cid:242)(cid:207)(cid:291)(cid:238)(cid:300)(cid:205)(cid:245)(cid:253)(cid:212)(cid:238)(cid:294)(cid:259)(cid:187)(cid:277)(cid:258) OD\n(cid:293)(cid:181)(cid:277)(cid:213)(cid:181)(cid:181)(cid:261)(cid:213)(cid:213)(cid:293)(cid:245)(cid:261)(cid:261)(cid:213)(cid:261)(cid:277)(cid:181)(cid:213)\nNIGRAM\n5\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n(b) A student of mass 58.6 kg stands on horizontal ground in Cambridge.\nSIHT\nNI (i) Determine the magnitude of the resultant force that acts to cause the circular motion of\nETIRW\nthe student.\nTON\nOD\nNIGRAM\nSIHT resultant force = ..................................................... N [2]\nNI\n(ii) On Fig. 1.2, draw an arrow to show the direction of the resultant force that acts on the ETIRW\nstudent.\nTON\nstudent OD\nCambridge\nNIGRAM\nEarth’s surface SIHT\nNI\nFig. 1.2 (not to scale) ETIRW\n[1]\nTON\n(iii) On Fig. 1.3, draw labelled arrows from the student to show the directions of the forces\nOD\nthat act on the student to cause the resultant force in (b)(ii).\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nFig. 1.3 (not to scale)\nOD\n[2]\n[Total: 9]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:183)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:266)(cid:241)(cid:215)(cid:293)(cid:242)(cid:284)(cid:236)(cid:259)(cid:244)(cid:277)(cid:234)(cid:270)(cid:215)(cid:187)(cid:293)(cid:258) OD\n(cid:293)(cid:181)(cid:293)(cid:277)(cid:245)(cid:213)(cid:293)(cid:181)(cid:197)(cid:277)(cid:229)(cid:261)(cid:261)(cid:181)(cid:293)(cid:213)(cid:229)(cid:213)" }, { "id": "9702-2025-on-42-q02", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 2, "topic_number": 15, "topic": "Ideal gases", "topic_slug": "9702-topic-15-ideal-gases", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_42.pdf?download=true", "source_pages": [ 6, 7 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_42.pdf", "image_paths": [ "9702-topic-15-ideal-gases/assets/9702-2025-on-42-q02-p01.png", "9702-topic-15-ideal-gases/assets/9702-2025-on-42-q02-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-42-q02", "html": "9702-topic-15-ideal-gases/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_42.pdf?download=true", "source_pages": [ 9 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n2 (a) State Newton’s law of gravitation.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) One of the basic assumptions of the kinetic theory of gases is that there are no forces exerted\nbetween the molecules of the gas except during collisions.\nNIGRAM\nState two other basic assumptions of the kinetic theory of gases.\n1 ................................................................................................................................................ SIHT\nNI\n...................................................................................................................................................\nETIRW\n2 ................................................................................................................................................\nTON\nOD ...................................................................................................................................................\n[2]\n–27 kg. Hydrogen (c) Hydrogen gas consists of molecules that each have a mass of 3.34 × 10\nNIGRAM may be considered to be an ideal gas.\nA spherical balloon contains 0.0160 mol of hydrogen gas at a temperature of 282 K. At this\nSIHT\n10– 4 m3. temperature, the volume of gas in the balloon is 1.87 ×\nNI\nETIRW (i) Determine the pressure of the gas.\nTON\nOD\nNIGRAM\npressure = .................................................... Pa [2] SIHT\nNI\n(ii) Estimate the average separation of the hydrogen molecules in the gas.\nETIRW\nTON\nOD\nNIGRAM\nSIHT\naverage separation = ..................................................... m [2]\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:182)(cid:254)(cid:215)\n© UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:265)(cid:241)(cid:220)(cid:287)(cid:282)(cid:274)(cid:228)(cid:264)(cid:257)(cid:288)(cid:202)(cid:294)(cid:182)(cid:275)(cid:277)(cid:258) OD\n(cid:293)(cid:293)(cid:197)(cid:277)(cid:245)(cid:245)(cid:293)(cid:277)(cid:261)(cid:245)(cid:261)(cid:261)(cid:197)(cid:181)(cid:197)(cid:277)(cid:245)(cid:213)\nNIGRAM\n7\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44)\n(d) (i) Use your answer in (c)(ii) to calculate the average gravitational force between adjacent\nSIHT\nmolecules in hydrogen gas.\nNI\nETIRW\nTON\nOD\nNIGRAM\naverage force = ..................................................... N [2]\n(ii) By considering the weight of a " }, { "id": "9702-2025-on-42-q03", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 3, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_42.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_42.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2025-on-42-q03-p01.png", "9702-topic-14-temperature/assets/9702-2025-on-42-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-42-q03", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_42.pdf?download=true", "source_pages": [ 10, 11 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44)\n3 (a) State what is meant by two objects being in thermal equilibrium.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Fig. 3.1 shows a type of thermometer called a constant volume gas thermometer.\nvacuum NIGRAM\nscale fixed glass tube\nSIHT\nmovable\nNI glass tube\nETIRW\nY\nTON\nΔh\nOD\ngas\nX\nNIGRAM\nliquid\nSIHT\nNI\nETIRW\nTON\nrubber tube\nOD\nglass bulb\nFig. 3.1 (not to scale)\nNIGRAM\nThe thermometer is used to determine the thermodynamic temperature T of the gas in the\nglass bulb.\nSIHT\nThe glass bulb is immersed in the environment for which the temperature is to be measured. NI\nETIRW The height of the movable glass tube is then adjusted so that the lev el of the liquid on the\nleft-hand side aligns with the reference line X marked on the fixed glass tube. The reference\nTON line Y is marked on the side of the movable glass tube. The level of the liquid at Y is higher\nthan at X as a result of the pressure of the gas in the glass bulb.\nOD\nThe dif ference in height Δh between the liquid levels at X and Y is then measured using the\nscale. The thermodynamic temperature T of the gas is directly proportional to the pressure of\nthe gas. This pressure is directly proportional to Δh.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:250)(cid:182)(cid:256)(cid:215)\n© UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:266)(cid:243)(cid:212)(cid:291)(cid:296)(cid:295)(cid:226)(cid:240)(cid:247)(cid:226)(cid:176)(cid:178)(cid:196)(cid:259)(cid:269)(cid:258) OD\n(cid:293)(cid:213)(cid:293)(cid:213)(cid:245)(cid:277)(cid:261)(cid:213)(cid:245)(cid:229)(cid:229)(cid:261)(cid:261)(cid:213)(cid:261)(cid:213)(cid:245)(cid:213)\nNIGRAM\n9\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:10)(cid:44)\n(i) The value of Δh can be used to calculate the pressure of the gas. In order to do this, the\nSIHT\ngravitational field strength is used, along with a property of the liquid.\nNI\nETIRW\nState the property of the liquid that is used to calculate the pressure.\nTON ..................................................................................................................................... [1]\nOD\n(ii) Before the measurement of Δh can be made, the glass bulb needs to reach thermal\nequilibrium with the environment for which the temperature is to be measured.\nState two disadvantages of using a constant volume gas ther" }, { "id": "9702-2025-on-42-q04", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 4, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_42.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_42.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2025-on-42-q04-p01.png", "9702-topic-16-thermodynamics/assets/9702-2025-on-42-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-42-q04", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_42.pdf?download=true", "source_pages": [ 11 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:1)(cid:44)\n4 A cylinder contains a fixed mass of an ideal gas at pressure 2Y and volume 6X.\nSIHT\nNI The gas undergoes a sequence of changes from its initial state A, through states B, C and D, then\nETIRW\nfinally back to its initial state A, as shown in Fig. 4.1.\nTON\n6Y\nOD\nC D pressure\n4Y\nNIGRAM\nSIHT\n2Y B A\nNI\nETIRW\nTON\n0\nOD 0 2X 4X 6X 8X\nvolume\nFig. 4.1 NIGRAM\nFig. 4.2 shows the variation with time of the internal energy of the gas.\nSIHT\n60XY NI\nETIRW\ninternal energy\nD\nTON\n40XY OD\nNIGRAM 20XY\nA A\nC\nSIHT\nB NI\n0\nETIRW\ntime\nTON\nFig. 4.2\nOD\n(a) State the first law of thermodynamics.\n...................................................................................................................................................\nNIGRAM\n...................................................................................................................................................\nSIHT\n............................................................................................................................................. [2]\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:184)(cid:254)(cid:215)\n© UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:267)(cid:243)(cid:217)(cid:289)(cid:288)(cid:241)(cid:224)(cid:247)(cid:240)(cid:268)(cid:212)(cid:180)(cid:232)(cid:187)(cid:293)(cid:258) OD\n(cid:293)(cid:261)(cid:261)(cid:277)(cid:245)(cid:277)(cid:229)(cid:213)(cid:213)(cid:277)(cid:229)(cid:197)(cid:261)(cid:245)(cid:261)(cid:213)(cid:197)(cid:213)\nNIGRAM\n11\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)\n(b) (i) Use Fig. 4.1 and Fig. 4.2 to determine the general expression for the internal energy U of\nSIHT\nthe gas when it has pressure p and volume V.\nNI\nETIRW\nTON\nOD\nU = ......................................................... [1]\n(ii) An ideal gas at thermodynamic temperature T contains N molecules.\nNIGRAM\nUse your answer in (b)(i) and the equation of state for an ideal gas to deduce an\nexpression for U in terms of N and T. Identify any other symbols you use.\nSIHT\nNI\nETIRW\nTON\nOD\nU = ......................................................... [2]\n(c) Determine expressions, in terms of X and Y, for the work W done on the gas during:\nNIGRAM\n(i) change AB\nSIHT\nNI\nETIRW\nW = ......................................................... [1]\nTON\n(ii) change CD.\nOD\nNIGRAM\nW = ......................................................... [1]\nSIHT (d) Use your answers in (c) and the first law of thermodynamics to determine an expression,\nin terms of X and Y, for the net thermal energy Q supplied to the gas during one full cycle\nNI\nABCDA. Explain your reasoning.\nETIRW\nTON\nOD\nNIGRAM\nQ = ......................................................... [3]\nSIHT\n[Total: 10] NI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(ci" }, { "id": "9702-2025-on-42-q05", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 5, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_42.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_42.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2025-on-42-q05-p01.png", "9702-topic-17-oscillations/assets/9702-2025-on-42-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-42-q05", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_42.pdf?download=true", "source_pages": [ 12 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44)\n5 A steel ball on the end of a thin string oscillates with small oscillations, as shown in Fig. 5.1.\nSIHT\nNI\nETIRW\nTON\nthin string\nOD\nsteel ball equilibrium position\nNIGRAM\nSIHT x\nNI\nETIRW\noscillations\nTON\nFig. 5.1 (not to scale) OD\nThe displacement of the centre of the ball from its equilibrium position is x.\n(a) Fig. 5.2 shows the variation with x of the acceleration a of the ball. NIGRAM\n15\nSIHT s–2 a / cm\n10\nNI\nETIRW\n5\nTON\n0\nOD\n– – 2 1 1 2 0\nx / cm\n– 5\n– NIGRAM 10\n– 15\nSIHT\nNI Fig. 5.2\nETIRW\n(i) Explain how Fig. 5.2 shows that the oscillations of the ball are simple harmonic.\nTON\n...........................................................................................................................................\nOD\n...........................................................................................................................................\n..................................................................................................................................... [2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:184)(cid:256)(cid:215)\n© UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:268)(cid:241)(cid:209)(cid:285)(cid:274)(cid:264)(cid:222)(cid:255)(cid:266)(cid:198)(cid:230)(cid:296)(cid:210)(cid:235)(cid:285)(cid:258) OD\n(cid:293)(cid:181)(cid:229)(cid:213)(cid:245)(cid:245)(cid:197)(cid:277)(cid:229)(cid:197)(cid:261)(cid:197)(cid:197)(cid:277)(cid:197)(cid:277)(cid:197)(cid:213)\nNIGRAM\n13\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44)\n(ii) Determine the period T of the oscillations.\nSIHT\nNI\nETIRW\nTON\nOD\nT = ...................................................... s [3]\nNIGRAM\n(b) At time t = 0, when the displacement of the ball has its maximum value, the ball is immersed\nin a trough containing thick oil so that the ball is just below the surface of the oil. This results SIHT\nin the subsequent motion of the ball being heavily damped.\nNI\nETIRW\n(i) State what is meant by damping.\nTON\n...........................................................................................................................................\nOD\n...........................................................................................................................................\n..................................................................................................................................... [2]\nNIGRAM\n(ii) On Fig. 5.3, sketch a possible variation of the displacement x of the ball with t between\nt = 0 and t = 2T.\nSIHT\n1.5 NI\nETIRW\n1.0\nx / cm TON\n0.5\nOD\n0\n0 T 2T\nt\nNIGRAM – 0.5\n– 1.0\nSIHT\nNI – 1.5\nETIRW\nFig. 5.3\nTON\n[3]\nOD\n[Total: 10]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:2" }, { "id": "9702-2025-on-42-q06", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_42.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_42.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2025-on-42-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2025-on-42-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-42-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_42.pdf?download=true", "source_pages": [ 13 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:5)(cid:44)\n6 (a) Define electric field at a point.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n............................................................................................................................................. [1]\nTON\n(b) An isolated conducting sphere in a vacuum has a capacitance of 69 pF.\nOD\nThe charge on the sphere is +83 pC.\n(i) On Fig. 6.1, draw field lines to represent the electric field outside the sphere due to the\ncharge on the sphere.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nFig. 6.1\n[2]\n(ii) Calculate the electric potential at the surface of the sphere.\nNIGRAM\nSIHT\nNI\nETIRW\nTON electric potential = ...................................................... V [2]\nOD\n(iii) Determine the radius of the sphere.\nNIGRAM\nSIHT\nNI\nradius = ..................................................... m [2]\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:181)(cid:258)(cid:215)\n© UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:268)(cid:244)(cid:220)(cid:293)(cid:289)(cid:256)(cid:233)(cid:239)(cid:244)(cid:224)(cid:206)(cid:197)(cid:258)(cid:283)(cid:277)(cid:258) OD\n(cid:293)(cid:277)(cid:213)(cid:213)(cid:245)(cid:245)(cid:293)(cid:213)(cid:213)(cid:229)(cid:213)(cid:261)(cid:261)(cid:181)(cid:261)(cid:277)(cid:261)(cid:213)\nNIGRAM\n15\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44)\n(iv) Calculate the electric field strength E at the surface of the sphere. Give a unit with your\nSIHT\nanswer.\nNI\nETIRW\nTON\nOD\nNIGRAM\nE = ...................................... unit ............ [2]\nSIHT (c) The sphere in (b) is discharged by connecting it to earth (0 V) through a resistor of resistance\n120 MΩ.\nNI\nETIRW\nCalculate the time taken for the charge to fall to 26 pC.\nTON\nOD\nNIGRAM\nSIHT\ntime = ...................................................... s [2] NI\nETIRW\n[Total: 11]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:249)(cid:181)(cid:258)(cid:215) [Turn over © UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:267)(cid:243)(cid:212)(cid:291)(cid:285)(cid:240)(cid:208)(cid:265)(cid:253)(cid:297)(cid:266)(cid:173)(cid:214)(cid:283)(cid:293)(cid:258) OD\n(cid:293)(cid:277)(cid:229)(cid:277)(cid:181)(cid:277)(cid:261)(cid:181)(cid:197)(cid:213)(cid:261)(cid:261)(cid:261)(cid:213)(cid:293)(cid:213)(cid:277)(cid:213)" }, { "id": "9702-2025-on-42-q07", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 7, "topic_number": 21, "topic": "Alternating currents", "topic_slug": "9702-topic-21-alternating-currents", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_42.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_42.pdf", "image_paths": [ "9702-topic-21-alternating-currents/assets/9702-2025-on-42-q07-p01.png", "9702-topic-21-alternating-currents/assets/9702-2025-on-42-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-42-q07", "html": "9702-topic-21-alternating-currents/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_42.pdf?download=true", "source_pages": [ 14 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44)\n7 An alternating voltage V varies with time t according to\nSIHT\nNI V = 18 cos 40 πt\nETIRW\nwhere V is in V and t is in s.\nTON\n(a) For the alternating voltage:\nOD\n(i) show that the period is 0.050 s\nNIGRAM\nSIHT\n[1]\nNI\nETIRW\n(ii) determine the root-mean-square (r.m.s.) voltage.\nTON\nOD\nNIGRAM\nr.m.s. voltage = ...................................................... V [1]\n(b) On Fig. 7.1, sketch the variation of V with t for values of t from t = 0 to t = 100 ms.\nSIHT\nNI\n20\nETIRW\nV / V\nTON\nOD\n0\n0 25 50 75 100\n/ ms t\nNIGRAM\n– 20\nSIHT\nFig. 7.1\n[3] NI\nETIRW\n(c) The alternating voltage is rectified to produce an output voltage across a load resistor R, as\nshown in Fig. 7.2. TON\nOD\nrectification\nR V output voltage\ncircuit NIGRAM\nSIHT\nNI Fig. 7.2\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:251)(cid:181)(cid:260)(cid:215)\n© UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:267)(cid:242)(cid:212)(cid:297)(cid:271)(cid:249)(cid:235)(cid:263)(cid:262)(cid:290)(cid:236)(cid:273)(cid:248)(cid:267)(cid:269)(cid:258) OD\n(cid:293)(cid:229)(cid:245)(cid:277)(cid:245)(cid:277)(cid:261)(cid:277)(cid:229)(cid:245)(cid:245)(cid:261)(cid:197)(cid:213)(cid:197)(cid:213)(cid:261)(cid:213)\nNIGRAM\n17\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44)\nFig. 7.3 shows the variation with t of the power P in the load resistor .\nSIHT\nNI\n30\nETIRW\nP / W\nTON\nOD\n20\nNIGRAM\n10\nSIHT\nNI\n0 ETIRW\n0 25 50 75 100\n/ ms t\nTON\nOD Fig. 7.3\nState three conclusions that can be drawn from Fig. 7.3. The conclusions may be qualitative\nor quantitative. Use the space for any working.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\n1 ................................................................................................................................................\n................................................................................................................................................... SIHT\nNI\n2 ................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n3 ................................................................................................................................................ OD\n...................................................................................................................................................\n[3]\nNIGRAM\n[Total: 8]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:249)(cid:181)(cid:260)(cid:215) [Turn over © UCLES 2025 9702/42/O/N/25 " }, { "id": "9702-2025-on-42-q08", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 8, "topic_number": 22, "topic": "Quantum physics", "topic_slug": "9702-topic-22-quantum-physics", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_42.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_42.pdf", "image_paths": [ "9702-topic-22-quantum-physics/assets/9702-2025-on-42-q08-p01.png", "9702-topic-22-quantum-physics/assets/9702-2025-on-42-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-42-q08", "html": "9702-topic-22-quantum-physics/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_42.pdf?download=true", "source_pages": [ 15 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:9)(cid:44)\n8 Fig. 8.1 shows the three lowest-frequency lines in the part of the emission spectrum for hydrogen\nSIHT\nthat relates to electron transitions to the ground state (level n = 1).\nNI\nETIRW\nTON\nOD\n3.09 2.92 2.47\nFig. 8.1 (not to scale)\nNIGRAM\n1015 Hz, associated with the spectral lines. The numbers represent the frequencies, in\nSIHT (a) Use the photon model of electromagnetic radiation to explain how the ex istence of spectral\nlines in the emission spectrum provides evidence for discrete electron energy levels in the\nNI\nhydrogen atom.\nETIRW\n...................................................................................................................................................\nTON\nOD ...................................................................................................................................................\n...................................................................................................................................................\nNIGRAM ...................................................................................................................................................\n............................................................................................................................................. [3]\nSIHT\n(b) The energy of the ground state (level n = 1) in a hydrogen atom is –13.6 eV. NI\nETIRW\n(i) Calculate the energy, in J, of the ground state.\nTON\nOD\nNIGRAM\nenergy = ...................................................... J [1]\n(ii) Show that the energy difference between levels n = 1 and n = 2 is 10.2 eV. SIHT\nNI\nETIRW\nTON\nOD\nNIGRAM [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:251)(cid:183)(cid:258)(cid:215)\n© UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:266)(cid:242)(cid:217)(cid:299)(cid:279)(cid:287)(cid:229)(cid:256)(cid:253)(cid:204)(cid:200)(cid:275)(cid:276)(cid:179)(cid:293)(cid:258) OD\n(cid:293)(cid:245)(cid:277)(cid:213)(cid:245)(cid:277)(cid:229)(cid:277)(cid:261)(cid:197)(cid:245)(cid:197)(cid:197)(cid:245)(cid:197)(cid:213)(cid:181)(cid:213)\nNIGRAM\n19\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:10)(cid:44)\n(iii) Complete Table 8.1 to show the energy dif ferences from the ground state, and the\nSIHT\nenergies of the levels up to n = 4, in the hydrogen atom. Use the space for any working.\nNI\nETIRW\nTON\nOD\nNIGRAM\nTable 8.1 SIHT\nNI\n(energy difference ETIRW\nlevel energy / eV\nfrom n = 1) / eV\nTON\nn = 4\nOD\nn = 3\nNIGRAM\nn = 2 10.2\nSIHT\nNI\nn = 1 0.0 –13.6\nETIRW\n[4]\nTON\nOD [Total: 10]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:249)(cid:183)(cid:258)(cid:215) " }, { "id": "9702-2025-on-42-q09", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 9, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 13, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_42.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_42.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-on-42-q09-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-on-42-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-42-q09", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_42.pdf?download=true", "source_pages": [ 16 ], "marks": 13 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:1)(cid:44)\n9 (a) State what is meant by the mass defect of a nucleus.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) The nuclear fusion reaction for the formation of helium-4 from deuterium is represented by\nNIGRAM\n4 2 2 He. H + H\n2 1 1\nSIHT\nT able 9.1 shows the masses of the nuclides involved in this reaction.\nNI\nETIRW\nTable 9.1\nTON\nnuclide nuclide mass / u\nOD\n2 2.013 553 H\n1\n4 4.001 505 NIGRAM He\n2\nSIHT Calculate the energy released in the formation of 1.00 mol of helium-4.\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nenergy = ...................................................... J [4]\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:183)(cid:260)(cid:215)\n© UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:265)(cid:244)(cid:209)(cid:295)(cid:297)(cid:282)(cid:231)(cid:248)(cid:251)(cid:262)(cid:178)(cid:199)(cid:294)(cid:227)(cid:285)(cid:258) OD\n(cid:293)(cid:197)(cid:181)(cid:277)(cid:245)(cid:245)(cid:197)(cid:213)(cid:245)(cid:277)(cid:213)(cid:197)(cid:261)(cid:277)(cid:261)(cid:277)(cid:181)(cid:213)\nNIGRAM\n21\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:2)(cid:44)\n109 (c) The star Sirius has a radius of 1.19 × m and loses mass due to nuclear fusion at a rate of\nSIHT\n1011 s–1. kg Assume that the power of the radiation emitted by the star is equal to the 1.09 ×\nNI power released by this process.\nETIRW\n(i) Determine a value for the luminosity of Sirius. Give a unit with your answer.\nTON\nOD\nNIGRAM\nSIHT\nluminosity = ..................................... unit ............ [2]\nNI\nETIRW\n(ii) Use your answer in (c)(i) to determine the surface temperature of Sirius.\nTON\nOD\nNIGRAM\nSIHT\nsurface temperature = ...................................................... K [2] NI\nETIRW\n(d) Explain how cosmologists use standard candles to estimate the distance of a galaxy from the\nEarth. TON\nOD\n...................................................................................................................................................\n...................................................................................................................................................\nNIGRAM\n...................................................................................................................................................\n............................................" }, { "id": "9702-2025-on-42-q10", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "42", "question_number": 10, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_42.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_42.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2025-on-42-q10-p01.png", "9702-topic-24-medical-physics/assets/9702-2025-on-42-q10-p02.png", "9702-topic-24-medical-physics/assets/9702-2025-on-42-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2025-on-42-q10", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_42.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_42.pdf?download=true", "source_pages": [ 17 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:3)(cid:44)\n10 (a) State what is meant by contrast in an X-ray image.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n............................................................................................................................................. [1]\nTON\nare incident normally on a structure, as shown in Fig. 10.1. (b) X-rays of intensity I\nOD 0\n2.1 cm\nmaterial P\nmaterial Q\nNIGRAM\nSIHT\nA NI\nETIRW\nTON\nincident X-rays, detected\nintensity I X-rays OD\n0\nB\nNIGRAM\nSIHT\nNI\ncm 5.8 ETIRW\nTON Fig. 10.1\nOD\ncm–1. Material P has a linear attenuation coefficient of 0.35\n. The X-rays emerging from the structure in region A have an intensity of 0.053I\n0\n. (i) Show that the intensity of the X-rays emerging in region B is 0.13I\nNIGRAM 0\nSIHT\nNI\nETIRW\nTON\nOD\n[1]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:249)(cid:182)(cid:258)(cid:215)\n© UCLES 2025 9702/42/O/N/25 (cid:300)(cid:192)(cid:265)(cid:243)(cid:214)(cid:299)(cid:253)(cid:292)(cid:218)(cid:261)(cid:247)(cid:186)(cid:262)(cid:199)(cid:211)(cid:267)(cid:285)(cid:258) OD\n(cid:293)(cid:277)(cid:293)(cid:213)(cid:181)(cid:181)(cid:229)(cid:277)(cid:229)(cid:261)(cid:229)(cid:197)(cid:197)(cid:245)(cid:197)(cid:277)(cid:245)(cid:213)\nNIGRAM\n23\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:4)(cid:44)\n(ii) Determine the linear attenuation coefficient μ of material Q.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ncm–1 μ = ................................................ [3]\nSIHT\n(iii) Use the information in (b)(i) to suggest why the X-rays emerging from the structure form\nNI\nan image that has poor contrast.\nETIRW\n...........................................................................................................................................\nTON\nOD ...........................................................................................................................................\n..................................................................................................................................... [1]\nNIGRAM (c) Explain how X-rays are used in computed tomography (CT) scanning to produce a\nthree-dimensional image of an internal structure.\nSIHT\n...................................................................................................................................................\nNI\nETIRW ...................................................................................................................................................\n................................................................................................................................................... TON\nOD\n.........................." }, { "id": "9702-2025-on-43-q01", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 1, "topic_number": 17, "topic": "Oscillations", "topic_slug": "9702-topic-17-oscillations", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_43.pdf?download=true", "source_pages": [ 4, 5, 6 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_43.pdf", "image_paths": [ "9702-topic-17-oscillations/assets/9702-2025-on-43-q01-p01.png", "9702-topic-17-oscillations/assets/9702-2025-on-43-q01-p02.png", "9702-topic-17-oscillations/assets/9702-2025-on-43-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2025-on-43-q01", "html": "9702-topic-17-oscillations/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_43.pdf?download=true", "source_pages": [ 8, 9 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:5)(cid:44)\n1 (a) In terms of velocity and acceleration, describe uniform circular motion of an object.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Fig. 1.1 shows the view from above of a polystyrene ball undergoing horizontal circular motion\nof radius R.\nNIGRAM\nshadow of\npolystyrene ball\nSIHT\nNI\nETIRW screen\nP\nTON\nx\nOD\nNIGRAM\npolystyrene ball\nB\nθ SIHT\nO NI\nETIRW\nR TON\nOD path of ball\nNIGRAM\nSIHT\nNI\nlight\nETIRW\nFig. 1.1\nTON\nOD The ball is illuminated by parallel light so that a shadow of the ball forms on a screen placed\non the opposite side of the ball from the light source.\nThe line joining points O and P is perpendicular to the screen.\nNIGRAM\nω. The angular speed of the circular motion is\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:184)(cid:256)(cid:215)\n© UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:256)(cid:252)(cid:206)(cid:285)(cid:249)(cid:267)(cid:216)(cid:264)(cid:240)(cid:261)(cid:246)(cid:188)(cid:283)(cid:251)(cid:294)(cid:258) OD\n(cid:293)(cid:261)(cid:245)(cid:213)(cid:181)(cid:245)(cid:261)(cid:277)(cid:197)(cid:245)(cid:245)(cid:261)(cid:261)(cid:213)(cid:229)(cid:213)(cid:293)(cid:213)\nNIGRAM\n5\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n(i) State an expression, in terms of R and ω, for the speed v of the ball.\nSIHT\nNI\nETIRW\nTON\nv = ......................................................... [1]\nOD\nω, for the centripetal acceleration of the ball. (ii) Determine an expression, in terms of v and\nNIGRAM\nSIHT\nNI\nETIRW\nTON\ncentripetal acceleration = ......................................................... [2]\nOD\n(c) The ball in (b) is in the position shown in Fig. 1.1, such that line OB is at an angle θ to the line\nOP.\nθ, for the displacement x of the shadow (i) Determine an expression, in terms of R and\nNIGRAM\nfrom P.\nSIHT\nNI\nx = ......................................................... [1]\nETIRW\nθ is zero at time t = 0. (ii) The value of\nTON\nθ in terms of ω and t. State an expression for OD\nNIGRAM\nθ = ......................................................... [1]\nSIHT\n(iii) Use your answers in (c)(i) and (c)(ii) to show that x is given by\nNI\nETIRW\nsinω t. x = R\nTON\nOD\nNIGRAM\n[1]\n(iv) Explain, with reference to the equation in (c)(iii), why the motion of the shadow of the\nSIHT\nball on the screen may be modelled as simple harmonic.\nNI\nETIRW " }, { "id": "9702-2025-on-43-q02", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 2, "topic_number": 16, "topic": "Thermodynamics", "topic_slug": "9702-topic-16-thermodynamics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_43.pdf?download=true", "source_pages": [ 7 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_43.pdf", "image_paths": [ "9702-topic-16-thermodynamics/assets/9702-2025-on-43-q02-p01.png" ], "answer": { "status": "available", "id": "9702-2025-on-43-q02", "html": "9702-topic-16-thermodynamics/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_43.pdf?download=true", "source_pages": [ 9 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44)\n2 (a) State two ways in which the first law of thermodynamics describes that the internal energy of\nSIHT\na system may be changed.\nNI\nETIRW\n1 ................................................................................................................................................\nTON ...................................................................................................................................................\nOD\n2 ................................................................................................................................................\n...................................................................................................................................................\n[2]\nNIGRAM\n(b) (i) Use the first law of thermodynamics to explain why a bicycle pump gets hot when it is\nSIHT used to pump up a tyre quickly.\nNI\n...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\nOD ...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM ..................................................................................................................................... [3]\n(ii) With reference to molecular energies, explain why the temperature of water remains at\nSIHT\n100 °C when it vaporises in a kettle, even though it is being heated.\nNI\nETIRW ...........................................................................................................................................\n........................................................................................................................................... TON\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [3]\n[Total: 8]\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:250)(cid:181)(cid:254)(cid:215) [Turn over © UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:255)(cid:252)(cid:209)(cid:295)(cid:273)(cid:257)(cid:208)(cid:259)(cid:253)(cid:240)(cid:278)(cid:196)(cid:250)(cid:" }, { "id": "9702-2025-on-43-q03", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 3, "topic_number": 13, "topic": "Gravitational fields", "topic_slug": "9702-topic-13-gravitational-fields", "marks": 9, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_43.pdf?download=true", "source_pages": [ 8, 9 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_43.pdf", "image_paths": [ "9702-topic-13-gravitational-fields/assets/9702-2025-on-43-q03-p01.png", "9702-topic-13-gravitational-fields/assets/9702-2025-on-43-q03-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-43-q03", "html": "9702-topic-13-gravitational-fields/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_43.pdf?download=true", "source_pages": [ 10 ], "marks": 9 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44)\n3 (a) Define gravitational field at a point.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n............................................................................................................................................. [1]\nTON\n(b) Fig. 3.1 shows an isolated point mass of mass M.\nOD\nmass M P\nx\nNIGRAM\nFig. 3.1\nSIHT\nPoint P is at distance x from the point mass.\nNI\nETIRW\n(i) By considering the force exerted by the point mass on a test mass of mass m placed\nat P, derive an equation for the gravitational field strength g at P, in terms of M and x.\nTON\nIdentify any other symbols you use.\nOD\nNIGRAM\nSIHT\nNI\nETIRW\n[2]\nTON\nOD (ii) On Fig. 3.1, draw an arrow to indicate the direction of the gravitational field at P. [1]\nx\nfrom the point mass, on the opposite side of the mass from P, as (iii) Point Q is at distance\n2\nshown in Fig. 3.2. NIGRAM\nQ mass M P\nx SIHT\nx 2\nNI\nETIRW\nFig. 3.2\nTON\nCompare the gravitational field at Q with that at P.\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:252)(cid:181)(cid:256)(cid:215)\n© UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:255)(cid:249)(cid:209)(cid:285)(cid:291)(cid:264)(cid:235)(cid:253)(cid:262)(cid:247)(cid:184)(cid:288)(cid:220)(cid:195)(cid:286)(cid:258) OD\n(cid:293)(cid:293)(cid:261)(cid:213)(cid:245)(cid:213)(cid:261)(cid:277)(cid:293)(cid:181)(cid:229)(cid:261)(cid:261)(cid:213)(cid:229)(cid:277)(cid:229)(cid:213)\nNIGRAM\n9\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:10)(cid:44)\n(c) Two identical isolated uniform spheres X and Y each have radius R. The centres of the\nSIHT\nspheres are separated by distance L, as shown in Fig. 3.3.\nNI\nETIRW X Y\nP\nTON x\nOD\nL\nFig. 3.3\nNIGRAM\nPoint P lies on the line joining the centres of X and Y, and is at a variable displacement x from\nthe centre of sphere X.\nSIHT\n. The gravitational field strength at the surface of each sphere is g\n0\nNI\nETIRW\nOn Fig. 3.4, sketch the variation with x of the gravitational field g at point P between x = R and\nx = L – R.\nTON\ng\nOD 0\ng\n1 NIGRAM g\n0 2\nSIHT\nNI\n0\nETIRW\nR L / 2 L – R\nx\nTON\n1 OD g –\n0 2\nNIGRAM\n–g\n0\nSIHT\nFig. 3.4\n[3] NI\nETIRW\n[Total: 9]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:" }, { "id": "9702-2025-on-43-q04", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 4, "topic_number": 14, "topic": "Temperature", "topic_slug": "9702-topic-14-temperature", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_43.pdf?download=true", "source_pages": [ 10, 11 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_43.pdf", "image_paths": [ "9702-topic-14-temperature/assets/9702-2025-on-43-q04-p01.png", "9702-topic-14-temperature/assets/9702-2025-on-43-q04-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-43-q04", "html": "9702-topic-14-temperature/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_43.pdf?download=true", "source_pages": [ 11 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:1)(cid:44)\n4 (a) State the value of absolute zero on:\nSIHT\nNI (i) the Celsius temperature scale\nETIRW\nTON\ntemperature = ..................................................... °C [1]\nOD\n(ii) the thermodynamic temperature scale. Give a unit with your answer.\nNIGRAM\ntemperature = ....................................... unit .......... [1]\nSIHT\n(b) A sample contains a fixed amount of gas. The gas has pressure p, volume V and\nNI\nthermodynamic temperature T.\nETIRW\nFig. 4.1 shows the variation of pV with kT for the sample, where k is the Boltzmann constant.\nTON\n300 OD\npV / J\nNIGRAM\n200\nSIHT\nNI\n100\nETIRW\nTON\nOD\n0\n0 2 4 6 8\n10–21 / J kT\nNIGRAM\nFig. 4.1\nSIHT (i) State what is indicated about the nature of the gas from the variation shown in Fig. 4.1.\nNI\n..................................................................................................................................... [1]\nETIRW\n(ii) Determine the number N of molecules of the gas in the sample.\nTON\nOD\nNIGRAM\nSIHT\nN = ......................................................... [2]\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:183)(cid:254)(cid:215)\n© UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:254)(cid:249)(cid:220)(cid:287)(cid:299)(cid:274)(cid:229)(cid:262)(cid:253)(cid:205)(cid:220)(cid:286)(cid:176)(cid:251)(cid:278)(cid:258) OD\n(cid:293)(cid:181)(cid:293)(cid:277)(cid:245)(cid:213)(cid:229)(cid:277)(cid:197)(cid:261)(cid:229)(cid:197)(cid:261)(cid:245)(cid:229)(cid:277)(cid:277)(cid:213)\nNIGRAM\n11\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:2)(cid:44)\n(iii) Use your answer in (b)(ii) to determine the amount n of gas in the sample.\nSIHT\nNI\nETIRW\nTON\nOD\nn = ...................................................mol [1]\ns–1 when pV is (c) The root-mean-square (r.m.s.) speed of the molecules of the gas is 1900 m\nequal to 270 J.\nNIGRAM\nDetermine the mass, in u, of one molecule of the gas, where u is the unified atomic mass unit.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nmass = ...................................................... u [4]\nSIHT\n[Total: 10] NI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:183)(cid:254)(cid:215) [Turn over © UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:253)(cid:250)(cid:212)(cid:297)(cid:295)(cid:290)(cid:212)(cid:244)(cid:244)(cid:284)(cid:256)(cid:278)(cid:300)(cid:251)(cid:294)(cid:258) OD\n(cid:293)(cid:181)(cid:277)(cid:213)(cid:181)(cid:181)(cid:197)(cid:245)(cid:213)(cid:245)(cid:245)(cid:197)(cid:261)(cid:277)(cid:197)(cid:213)(cid:261)(cid:213)" }, { "id": "9702-2025-on-43-q05", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 5, "topic_number": 18, "topic": "Electric fields", "topic_slug": "9702-topic-18-electric-fields", "marks": 10, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_43.pdf?download=true", "source_pages": [ 12, 13 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_43.pdf", "image_paths": [ "9702-topic-18-electric-fields/assets/9702-2025-on-43-q05-p01.png", "9702-topic-18-electric-fields/assets/9702-2025-on-43-q05-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-43-q05", "html": "9702-topic-18-electric-fields/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_43.pdf?download=true", "source_pages": [ 12 ], "marks": 10 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:3)(cid:44)\n5 (a) Define electric potential at a point.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) A hydrogen atom may be considered to consist of a proton and an electron separated by a\ndistance of 120 pm, as shown in Fig. 5.1.\nNIGRAM\nelectron proton P\nx\nSIHT\npm 120\nNI\nETIRW\nFig. 5.1\nTON\nThe two particles may be considered as point charges. OD\nPoint P lies on the line joining the electron and the proton and is at a variable distance x from\nthe proton.\nNIGRAM\n(i) Show that the electric potential V at point P when x = 10 pm is equal to 130 V.\nSIHT\nNI\nETIRW\nTON\nOD\n[2]\nNIGRAM\n(ii) Calculate, to two significant figures, V when x = 30 pm.\nSIHT\nNI\nETIRW\nTON\nOD\nV = .......................................................V [2]\nNIGRAM (iii) On Fig. 5.1, draw a cross (×) at one position, other than infinity , where the electric\npotential is zero. [1]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:252)(cid:183)(cid:256)(cid:215)\n© UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:253)(cid:251)(cid:212)(cid:291)(cid:277)(cid:295)(cid:231)(cid:238)(cid:251)(cid:275)(cid:222)(cid:186)(cid:202)(cid:299)(cid:270)(cid:258) OD\n(cid:293)(cid:261)(cid:197)(cid:213)(cid:245)(cid:181)(cid:197)(cid:213)(cid:181)(cid:213)(cid:261)(cid:197)(cid:197)(cid:277)(cid:293)(cid:213)(cid:277)(cid:213)\nNIGRAM\n13\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:4)(cid:44)\n(iv) On Fig. 5.2, sketch the variation of V with x between x = 10 pm and x = 110 pm.\nSIHT\n160 NI\nETIRW\nV / V\nTON\n80 OD\nNIGRAM 0\n10 30 50 70 90 110\nx / pm\nSIHT\nNI\n–80\nETIRW\nTON\nOD\n–160\nFig. 5.2\n[3]\nNIGRAM\n[Total: 10]\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:183)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:254)(cid:252)(cid:220)(cid:293)(cid:281)(cid:279)(cid:210)(cid:268)(cid:262)(cid:214)(cid:250)(cid:194)(cid:270)(cid:299)(cid:286)(cid:258) OD\n(cid:293)(cid:261)(cid:181)(cid:277)(cid:181)(cid:213)(cid:229)(cid:181)(cid:229)(cid:229)(cid:213)(cid:197)(cid:197)(cid:245)(cid:261)(cid:277)(cid:261)(cid:213)" }, { "id": "9702-2025-on-43-q06", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 6, "topic_number": 19, "topic": "Capacitance", "topic_slug": "9702-topic-19-capacitance", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_43.pdf?download=true", "source_pages": [ 14, 15 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_43.pdf", "image_paths": [ "9702-topic-19-capacitance/assets/9702-2025-on-43-q06-p01.png", "9702-topic-19-capacitance/assets/9702-2025-on-43-q06-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-43-q06", "html": "9702-topic-19-capacitance/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_43.pdf?download=true", "source_pages": [ 13 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:5)(cid:44)\n6 (a) Two parallel plate capacitors C and C are connected to a supply that has a potential\nSIHT 1 2\n. The capacitors may be connected in series or in parallel. difference (p.d.) V\nS\nNI\nETIRW\nand the plates of the two capacitors acquire charges Q and The supply provides charge Q\nS 1\nrespectively. The p.d.s across the plates of the capacitors are V and V respectively. Q\n2 1 2\nTON\n, Q and Q relate to each other, and how V , V and Complete Table 6.1 to indicate how Q\nOD S 1 2 S 1\nrelate to each other, for series and parallel connections of the capacitors to the supply. V\n2\nTable 6.1\nNIGRAM\nrelationship between charges relationship between p.d.s\nSIHT\nseries\nNI\nETIRW\nTON parallel\nOD\n[4]\n(b) An isolated capacitor of capacitance 470 μF stores 19 mJ of energy.\nNIGRAM\n(i) Calculate the p.d. across the capacitor.\nSIHT\nNI\nETIRW\nTON\nOD\np.d. = .......................................................V [2]\n(ii) Calculate the charge on the capacitor.\nNIGRAM\nSIHT\nNI\nETIRW\ncharge = ......................................................C [2]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:249)(cid:182)(cid:258)(cid:215)\n© UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:253)(cid:250)(cid:217)(cid:299)(cid:294)(cid:287)(cid:228)(cid:254)(cid:257)(cid:249)(cid:214)(cid:283)(cid:282)(cid:219)(cid:294)(cid:258) OD\n(cid:293)(cid:229)(cid:181)(cid:213)(cid:245)(cid:181)(cid:293)(cid:277)(cid:197)(cid:181)(cid:213)(cid:261)(cid:261)(cid:181)(cid:229)(cid:213)(cid:213)(cid:213)\nNIGRAM\n15\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:6)(cid:44)\n(iii) The capacitor is now connected in parallel with a capacitor of capacitance 180 μF that is\nSIHT\ninitially uncharged.\nNI\nETIRW\nDetermine the total energy, in mJ, now stored in the two capacitors.\nTON\nOD\nNIGRAM\nSIHT\nNI\nenergy = ....................................................mJ [3]\nETIRW\n[Total: 11]\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:182)(cid:258)(cid:215) [Turn over © UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:254)(cid:249)(cid:209)(cid:285)(cid:298)(cid:271)(cid:213)(cid:252)(cid:240)(cid:176)(cid:258)(cid:291)(cid:190)(cid:219)(cid:278)(cid:258) OD\n(cid:293)(cid:229)(cid:197)(cid:277)(cid:181)(cid:213)(cid:261)(cid:245)(cid:213)(cid:197)(cid:261)(cid:261)(cid:261)(cid:213)(cid:197)(cid:277)(cid:197)(cid:213)" }, { "id": "9702-2025-on-43-q07", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 7, "topic_number": 20, "topic": "Magnetic fields", "topic_slug": "9702-topic-20-magnetic-fields", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_43.pdf?download=true", "source_pages": [ 16, 17 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_43.pdf", "image_paths": [ "9702-topic-20-magnetic-fields/assets/9702-2025-on-43-q07-p01.png", "9702-topic-20-magnetic-fields/assets/9702-2025-on-43-q07-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-43-q07", "html": "9702-topic-20-magnetic-fields/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_43.pdf?download=true", "source_pages": [ 14 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:7)(cid:44)\n7 (a) State Faraday’s law of electromagnetic induction.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) An aircraft is flying horizontally at constant speed v through the Earth’ s magnetic field, as\nshown in Fig. 7.1.\nNIGRAM\nvertical component of Earth’s\naircraft magnetic field, 38 μT\nSIHT\nNI\nETIRW\nP\nTON\nv\nOD v\n68 m\nQ\nNIGRAM\nSIHT\nNI\nETIRW VIEW FROM SIDE VIEW FROM ABOVE\nTON Fig. 7.1\nOD\nAt the location of the aircraft, the vertical component of the Earth’ s magnetic field is 38 μT\ntowards the ground.\nThe distance between the wingtips P and Q of the aircraft is 68 m.\nNIGRAM\nAs the aircraft moves through the magnetic field, an electromotive force (e.m.f.) of 0.54 V is\nSIHT induced between the wingtips P and Q.\nNI\n(i) Calculate the magnetic flux cut by the wings of the aircraft in a time of 15 s. Give a unit\nETIRW\nwith your answer.\nTON\nOD\nNIGRAM\nSIHT\nmagnetic flux = …………………………………… unit ….……. [2]\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:249)(cid:182)(cid:260)(cid:215)\n© UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:254)(cid:252)(cid:209)(cid:295)(cid:284)(cid:282)(cid:226)(cid:246)(cid:247)(cid:183)(cid:228)(cid:191)(cid:288)(cid:203)(cid:286)(cid:258) OD\n(cid:293)(cid:277)(cid:277)(cid:277)(cid:245)(cid:213)(cid:261)(cid:213)(cid:181)(cid:293)(cid:245)(cid:261)(cid:197)(cid:213)(cid:293)(cid:277)(cid:213)(cid:213)\nNIGRAM\n17\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:8)(cid:44)\n(ii) Determine the area of flux cut by the wings in a time of 15 s.\nSIHT\nNI\nETIRW\nTON\nOD\n.....................................................m2 area = [2] NIGRAM\n(iii) Use your answer in (b)(ii) to determine the speed v of the aircraft.\nSIHT\nNI\nETIRW\nTON\nOD\ns–1 v = .................................................m [2]\nNIGRAM\n(iv) Use Lenz’s law of electromagnetic induction to explain which of the wingtips P and Q is\nat the higher induced potential.\nSIHT\nNI ...........................................................................................................................................\nETIRW\n...........................................................................................................................................\nTON\n...........................................................................................................................................\nOD\n..............." }, { "id": "9702-2025-on-43-q08", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 8, "topic_number": 23, "topic": "Nuclear physics", "topic_slug": "9702-topic-23-nuclear-physics", "marks": 11, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_43.pdf?download=true", "source_pages": [ 18, 19 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_43.pdf", "image_paths": [ "9702-topic-23-nuclear-physics/assets/9702-2025-on-43-q08-p01.png", "9702-topic-23-nuclear-physics/assets/9702-2025-on-43-q08-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-43-q08", "html": "9702-topic-23-nuclear-physics/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_43.pdf?download=true", "source_pages": [ 15 ], "marks": 11 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:9)(cid:44)\n8 (a) State what is meant by a photon.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n238\nU) undergoes alpha decay to produce a nucleus (b) A stationary nucleus of uranium-238 (\n92\n234\nTh). The kinetic energy of the emitted alpha particle is 4.200 MeV. A of thorium-234 (\n90\ngamma-ray photon is also emitted during the decay. NIGRAM\nAssume that the rebound kinetic energy of the thorium nucleus is negligible.\nSIHT\nT able 8.1 shows the masses of the nuclides involved in the decay reaction. The mass of the\nNI\nuranium-238 nuclide is missing. ETIRW\nTable 8.1\nTON\nOD\nnuclide nuclide mass / u\n4 4.000 407 α\n2\nNIGRAM\n234 233.915 174 Th\n90\nSIHT\n238\nU NI\n92\nETIRW\nThe total energy released in the decay of the nucleus of uranium-238 is 4.274 MeV.\nTON\nOD (i) Calculate the mass, in u, of the uranium-238 nuclide. Give your answer to five decimal\nplaces.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nmass = ...................................................... u [3]\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:249)(cid:184)(cid:258)(cid:215)\n© UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:255)(cid:252)(cid:220)(cid:293)(cid:276)(cid:256)(cid:224)(cid:237)(cid:240)(cid:269)(cid:192)(cid:189)(cid:268)(cid:243)(cid:278)(cid:258) OD\n(cid:293)(cid:197)(cid:245)(cid:213)(cid:245)(cid:213)(cid:229)(cid:213)(cid:277)(cid:213)(cid:245)(cid:197)(cid:197)(cid:245)(cid:293)(cid:277)(cid:293)(cid:213)\nNIGRAM\n19\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:2)(cid:10)(cid:44)\n(ii) Determine a value for the wavelength of the gamma radiation emitted during the decay\nSIHT\nof the uranium-238 nucleus.\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nwavelength = ......................................................m [3]\nNI\nETIRW\n(iii) In practice, the rebound kinetic energy of the thorium nucleus is not negligible.\nTON\nExplain, without further calculation, how your answer in (b)(ii) compares with the true\nOD wavelength of gamma radiation emitted during the decay of the uranium-238 nucleus.\n...........................................................................................................................................\nNIGRAM ...........................................................................................................................................\n............................................................................" }, { "id": "9702-2025-on-43-q09", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 9, "topic_number": 25, "topic": "Astronomy and cosmology", "topic_slug": "9702-topic-25-astronomy-and-cosmology", "marks": 7, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_43.pdf?download=true", "source_pages": [ 20, 21 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_43.pdf", "image_paths": [ "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-on-43-q09-p01.png", "9702-topic-25-astronomy-and-cosmology/assets/9702-2025-on-43-q09-p02.png" ], "answer": { "status": "available", "id": "9702-2025-on-43-q09", "html": "9702-topic-25-astronomy-and-cosmology/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_43.pdf?download=true", "source_pages": [ 16 ], "marks": 7 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:1)(cid:44)\n9 (a) State Wien’s displacement law.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n–2 of the radiant flux intensity F observed from a star X, (b) Fig. 9.1 shows the variation with d\nwhere d is the distance of the observer from the star . Fig. 9.2 shows the variation with\nλ of the rates of emission P of radiation by star X and the Sun. wavelength\nNIGRAM\n8\nSIHT\nstar X\nNI 103 m–2 F / W P\nETIRW\n4\nTON\nOD Sun\n0\n1 2 3 0 0 5 10 15\nNIGRAM\n10–7 / m λ d–2 10–23 m–2 /\nSIHT\nFig. 9.1 Fig. 9.2\nNI\nETIRW The surface temperature of the Sun is 5770 K.\nState three conclusions about star X that can be drawn from this data. The conclusions may TON\nbe qualitative or quantitative. Use the space for any working.\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD 1 ................................................................................................................................................\n...................................................................................................................................................\nNIGRAM 2 ................................................................................................................................................\n...................................................................................................................................................\nSIHT\n3 ................................................................................................................................................ NI\nETIRW\n...................................................................................................................................................\nTON [3]\n(cid:300)(cid:205)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:249)(cid:184)(cid:260)(cid:215)\n© UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:256)(cid:250)(cid:212)(cid:297)(cid:286)(cid:249)(cid:222)(cid:261)(cid:266)(cid:211)(cid:186)(cid:281)(cid:238)(cid:291)(cid:270)(cid:258) OD\n(cid:293)(cid:245)(cid:213)(cid:277)(cid:245)(cid:181)(cid:197)(cid:277)(cid:293)(cid:261)(cid:213)(cid:197)(cid:261)(cid:277)(cid:229)(cid:213)(cid:293)(cid:213)\nNIGRAM\n21\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:2)(cid:44)\n(c) Star X is in a galaxy that is moving away from the Earth.\nSIHT\nNI Suggest, with a reason, how the line for star X in Fig. 9.2 would appear dif ferently if it had\nETIRW\nbeen obtained fr" }, { "id": "9702-2025-on-43-q10", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 4, "variant": "43", "question_number": 10, "topic_number": 24, "topic": "Medical physics", "topic_slug": "9702-topic-24-medical-physics", "marks": 8, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_43.pdf?download=true", "source_pages": [ 22, 23, 24 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_43.pdf", "image_paths": [ "9702-topic-24-medical-physics/assets/9702-2025-on-43-q10-p01.png", "9702-topic-24-medical-physics/assets/9702-2025-on-43-q10-p02.png", "9702-topic-24-medical-physics/assets/9702-2025-on-43-q10-p03.png" ], "answer": { "status": "available", "id": "9702-2025-on-43-q10", "html": "9702-topic-24-medical-physics/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_43.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_43.pdf?download=true", "source_pages": [ 17 ], "marks": 8 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:3)(cid:44)\n10 (a) Define specific acoustic impedance.\nSIHT\nNI ...................................................................................................................................................\nETIRW\n...................................................................................................................................................\nTON\n............................................................................................................................................. [2]\nOD\n(b) Explain how ultrasound waves are detected by a piezoelectric crystal.\n...................................................................................................................................................\nNIGRAM\n...................................................................................................................................................\nSIHT\n............................................................................................................................................. [2]\nNI\nETIRW\n(c) Table 10.1 shows the specific acoustic impedance Z for body tissue, water and steel.\nTON\nTable 10.1\nOD\nm–2 s–1 material Z / kg\n106 body tissue 1.38 ×\nNIGRAM\n106 water 1.48 ×\nSIHT\n107 steel 4.04 ×\nNI\nETIRW\n(i) Calculate the intensity reflection coef ficient for ultrasound incident on a water–steel\nTON\nboundary.\nOD\nNIGRAM\nSIHT\nintensity reflection coefficient = ......................................................... [2] NI\nETIRW\n(ii) Explain, without calculation, what is likely to happen when ultrasound is incident on a\nbody tissue–water boundary. TON\nOD\n...........................................................................................................................................\n...........................................................................................................................................\nNIGRAM\n..................................................................................................................................... [2]\n[Total: 8] SIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:266)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:181)(cid:258)(cid:215)\n© UCLES 2025 9702/43/O/N/25 (cid:300)(cid:191)(cid:256)(cid:249)(cid:215)(cid:293)(cid:266)(cid:259)(cid:211)(cid:248)(cid:262)(cid:287)(cid:254)(cid:281)(cid:203)(cid:203)(cid:270)(cid:258) OD\n(cid:293)(cid:229)(cid:261)(cid:213)(cid:181)(cid:245)(cid:229)(cid:213)(cid:181)(cid:277)(cid:229)(cid:197)(cid:197)(cid:245)(cid:293)(cid:213)(cid:229)(cid:213)\nNIGRAM\n23\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:4)(cid:44)\nBLANK PAGE\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:211)(cid:266)(cid:190)(cid:288" }, { "id": "9702-2025-on-51-q01", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "51", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_51.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-on-51-q01-p01.png", "9702-practical-skills/assets/9702-2025-on-51-q01-p02.png", "9702-practical-skills/assets/9702-2025-on-51-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2025-on-51-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_51.pdf?download=true", "source_pages": [ 7, 8, 9 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:44)\n1 On a bench, a steel ball of radius r is used to compress a spring by a distance x.T he ball is held at\nSIHT\nrest in this position, as shown in Fig. 1.1.\nNI\nETIRW compressed\nspring ball\nTON\nbench\nOD\nP\nNIGRAM\nFig. 1.1\nThe ball is released and rolls along the bench. At a fixed point P, the ball has speed v. The speed\nSIHT\nof the ball at P is determined using one light gate connected to a timer.\nNI\nETIRW\nSeveral steel balls of different radii are available.\nTON It is suggested that v is related to r by the relationship\nOD\nYkx2\n2 = v\nnρ r\nNIGRAM\nwhere k is the spring constant of the spring,ρ is the density of the steel, and Y and n are constants.\nSIHT Plan a laboratory experiment to test the relationship between v and r.\nNI\nDraw a diagram showing the arrangement of your equipment.\nETIRW\nExplain how the results could be used to determine values for Y and n.\nTON\nOD In your plan you should include:\n• the procedure to be followed\nNIGRAM • the measurements to be taken\n• the control of variables\nSIHT\n• the analysis of the data NI\nETIRW\n• any safety precautions to be taken.\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:249)(cid:183)(cid:254)(cid:215)\n© UCLES 2025 9702/51/O/N/25 (cid:300)(cid:261)(cid:275)(cid:250)(cid:217)(cid:290)(cid:256)(cid:246)(cid:210)(cid:261)(cid:246)(cid:211)(cid:247)(cid:296)(cid:207)(cid:233)(cid:289)(cid:258) OD\n(cid:293)(cid:229)(cid:261)(cid:277)(cid:181)(cid:181)(cid:229)(cid:245)(cid:293)(cid:261)(cid:277)(cid:197)(cid:197)(cid:245)(cid:293)(cid:277)(cid:277)(cid:213)\nNIGRAM\n3\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:4)(cid:44)\nDiagram\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW ..................................................................................................................................................................\n.................................................................................................................................................................. TON\nOD\n..................................................................................................................................................................\n..................................................................................................................................................................\nNIGRAM\n..................................................................................................................................................................\n..................................................................................................................................................................\nSIHT\nNI ........................................................." }, { "id": "9702-2025-on-51-q02", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "51", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_51.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_51.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-on-51-q02-p01.png", "9702-practical-skills/assets/9702-2025-on-51-q02-p02.png", "9702-practical-skills/assets/9702-2025-on-51-q02-p03.png", "9702-practical-skills/assets/9702-2025-on-51-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2025-on-51-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_51.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_51.pdf?download=true", "source_pages": [ 9, 10, 11 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n2 A student investigates light from different galaxies.\nSIHT\nNI Fig. 2.1 shows the lines in the absorption spectrum from a distant galaxy.\nETIRW\nλ\nTON\nOD\nNIGRAM\nincreasing wavelength\nSIHT\nFig. 2.1\nNI\nETIRW\nisλ . The wavelength of this spectral The wavelength of one of the lines in the absorption spectrum\nλ. line in the laboratory is\n0 TON\nThe observations of the same spectral line are repeated for different galaxies. OD\nThe student determines the distance d of each galaxy from the Earth.\nλ and d are related by the equation It is suggested that NIGRAM\nλ – λ Hd\n0 SIHT =\nλ c\n0\nNI\nETIRW\nwhere c is the speed of light in free space and H is the Hubble constant.\nTON d\nλ on the y-axis against (a) A graph is plotted of on the x-axis.\nc OD\nDetermine expressions for the gradient and y-intercept.\nNIGRAM\nSIHT\nNI\nETIRW\ngradient = ...............................................................\nTON\ny-intercept = ...............................................................\nOD\n[1]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:183)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/51/O/N/25 (cid:300)(cid:261)(cid:275)(cid:251)(cid:217)(cid:300)(cid:238)(cid:243)(cid:229)(cid:267)(cid:237)(cid:220)(cid:213)(cid:204)(cid:237)(cid:185)(cid:281)(cid:258) OD\n(cid:293)(cid:277)(cid:213)(cid:277)(cid:245)(cid:181)(cid:229)(cid:213)(cid:261)(cid:229)(cid:293)(cid:197)(cid:261)(cid:245)(cid:197)(cid:277)(cid:261)(cid:213)\nNIGRAM\n6\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n(b) Values of d and λ are given in Table 2.1.\nSIHT\nNI Table 2.1\nETIRW\nd\nTON 1021 1015 d / km λ / nm / s\nc\nOD\n0.48 ± 0.12 658.4\nNIGRAM\n1.04 ± 0.12 661.2\nSIHT\n1.45 ± 0.12 664.2\nNI\nETIRW\n1.80 ± 0.12 665.7\nTON\nOD 2.85 ± 0.12 672.4\n3.75 ± 0.12 678.2\nNIGRAM\n5 s–1. The value of c is 3.00 × 10 km\nSIHT\nd d\n1015 s in Table 2.1. Include the absolute uncertainties in Calculate and record values of / .\nNI\nc c\nETIRW\n[2]\nd d\nTON 1015 λ / nma gainst s. Include error bars for / . [2] (c) (i) Plot a graph of\nc c\nOD\n(ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Label\nboth lines. [2]\n(iii) Determine the gradient of the line of best fit. Include the absolute uncertainty in your\nNIGRAM\nanswer.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ngradient = ......................................................... [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:182)(cid:254)(cid:215)\n© UCLES 2025 9702/51/O/N/25 (cid:300)(cid:261)(cid:276)(cid:251)(cid:214)(cid:290)(cid:278)(cid:249)(cid:221)(cid:256)(cid:256)(cid:225)(cid:181)(cid:180)(cid:272)(cid:273)(cid:297)(cid:258) OD\n(cid:293)(cid:197)(cid:245)(" }, { "id": "9702-2025-on-52-q01", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "52", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_52.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-on-52-q01-p01.png", "9702-practical-skills/assets/9702-2025-on-52-q01-p02.png", "9702-practical-skills/assets/9702-2025-on-52-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2025-on-52-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_52.pdf?download=true", "source_pages": [ 7, 8 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:44)\n1 Fig. 1.1 shows a model wind turbine with blades, each of length L, placed in moving air.\nSIHT\nNI\nL ETIRW\nmoving air\nTON\nOD\nblade\nNIGRAM\nterminals\nturbine\nbench\nSIHT\nNI\nETIRW\nFig. 1.1\nTON\nThe area of the circle swept by the blades of the turbine is A. OD\nThe output of the turbine has two terminals. The turbine is connected to a resistor of resistance R.\nAt a speed v of the moving air, the current in the resistor is I.\nNIGRAM\nThe atmospheric pressure is P and the thermodynamic temperature of the air is T.\nSIHT\nIt is suggested that I is related to v by the relationship\nNI APv3 I2R\n= ETIRW\n2T Q\nwhere Q is a constant. TON\nOD\nPlan a laboratory experiment to test the relationship between I and v.\nDraw a diagram showing the arrangement of your equipment.\nNIGRAM\nExplain how the results could be used to determine a value for Q.\nIn your plan you should include:\nSIHT\n• NI the procedure to be followed\nETIRW\n• the measurements to be taken\nTON\n• the control of variables\nOD\n• the analysis of the data\n• any safety precautions to be taken.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:249)(cid:183)(cid:254)(cid:215)\n© UCLES 2025 9702/52/O/N/25 (cid:300)(cid:195)(cid:261)(cid:249)(cid:211)(cid:290)(cid:248)(cid:270)(cid:209)(cid:264)(cid:253)(cid:217)(cid:266)(cid:204)(cid:250)(cid:291)(cid:286)(cid:258) OD\n(cid:293)(cid:229)(cid:261)(cid:277)(cid:181)(cid:277)(cid:293)(cid:213)(cid:261)(cid:213)(cid:197)(cid:261)(cid:261)(cid:213)(cid:197)(cid:181)(cid:213)(cid:213)\nNIGRAM\n3\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:4)(cid:44)\nDiagram\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\n.......................................................................................................................................................... NI\nETIRW\n..........................................................................................................................................................\nTON\n..........................................................................................................................................................\nOD\n..........................................................................................................................................................\n..........................................................................................................................................................\nNIGRAM\n..........................................................................................................................................................\nSIHT\n..........................................................................................................................................................\nN" }, { "id": "9702-2025-on-52-q02", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "52", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_52.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_52.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-on-52-q02-p01.png", "9702-practical-skills/assets/9702-2025-on-52-q02-p02.png", "9702-practical-skills/assets/9702-2025-on-52-q02-p03.png", "9702-practical-skills/assets/9702-2025-on-52-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2025-on-52-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_52.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_52.pdf?download=true", "source_pages": [ 9, 10, 11 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n2 A student observes the orbits of some of the moons around the planet Saturn, as shown in Fig. 2.1.\nSIHT\nNI\nETIRW\nTethys\nTON Rhea\nOD\nMimas\nSaturn\nPandora\nNIGRAM\nEnceladus\nDione SIHT\nNI\nETIRW\nTON\nOD\nFig. 2.1 (not to scale)\nFor the moon Pandora, the period of the orbit and the mean distance from the centre of Saturn are\ndetermined. NIGRAM\nThe measurements of period T and mean distance r are repeated for other moons.\nSIHT\nIt is suggested that T and r are related by the equation\nNI\nETIRW\n2πrn\nT =\nk\nTON\nwhere n and k are constants.\nOD\n(a) A graph is plotted of lg T on the y‑axis against lg r on the x‑axis.\nDetermine expressions for the gradient and y‑intercept.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ngradient = ...............................................................\nNIGRAM\ny‑intercept = ...............................................................\n[1]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:251)(cid:183)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/52/O/N/25 (cid:300)(cid:195)(cid:261)(cid:252)(cid:211)(cid:300)(cid:262)(cid:283)(cid:230)(cid:266)(cid:262)(cid:210)(cid:236)(cid:296)(cid:220)(cid:243)(cid:278)(cid:258) OD\n(cid:293)(cid:277)(cid:213)(cid:277)(cid:245)(cid:277)(cid:293)(cid:245)(cid:293)(cid:245)(cid:181)(cid:261)(cid:197)(cid:213)(cid:293)(cid:181)(cid:197)(cid:213)\nNIGRAM\n6\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n(b) Values of r and T are given for different moons in Table 2.1.\nSIHT\nNI Table 2.1\nETIRW\nTON 108 103 108 103 moon r / m T / s lg (r/ m) lg (T/ s)\nOD\nPandora 1.42 52 ± 5\nNIGRAM\nMimas 1.86 81 ± 5\nSIHT\nEnceladus 2.38 120 ± 10\nNI\nETIRW\nTethys 2.95 170 ± 10\nTON\nOD\nDione 3.77 240 ± 20\nRhea 5.28 390 ± 30\nNIGRAM\n108 103 m) and lg (T/ s) in Table 2.1. Include the absolute Calculate and record values of lg (r /\nSIHT 103 s). [2] uncertainties in lg (T /\nNI\n103 108 103 s) against lg (r/ m). Include error bars for lg( T / s). [2] (c) (i) Plot a graph of lg (T / ETIRW\n(ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Label\nTON\nboth lines. [2]\nOD\n(iii) Determine the gradient of the line of best fit. Include the absolute uncertainty in your\nanswer.\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\ngradient = ......................................................... [2]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:251)(cid:182)(cid:254)(cid:215)\n© UCLES 2025 9702/52/O/N/25 (cid:300)(cid:195)(cid:262)(cid:252)(cid:208)(cid:290)(cid:286)(cid:273)(cid:222)(cid:253)(cid:247)(cid:235)(cid:204)(cid:272)(cid:185)(cid:219)(cid:294)(cid:258) OD\n(cid:293)(cid:197)(cid:245)(cid:277)(cid:245)(cid:181)(cid:293)(cid:213)(cid:229)(cid:277)(c" }, { "id": "9702-2025-on-53-q01", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "53", "question_number": 1, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_53.pdf?download=true", "source_pages": [ 2, 3, 4 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-on-53-q01-p01.png", "9702-practical-skills/assets/9702-2025-on-53-q01-p02.png", "9702-practical-skills/assets/9702-2025-on-53-q01-p03.png" ], "answer": { "status": "available", "id": "9702-2025-on-53-q01", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_53.pdf?download=true", "source_pages": [ 7, 8, 9 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:3)(cid:44)\n1 On a bench, a steel ball of radius r is used to compress a spring by a distance x.T he ball is held at\nSIHT\nrest in this position, as shown in Fig. 1.1.\nNI\nETIRW compressed\nspring ball\nTON\nbench\nOD\nP\nNIGRAM\nFig. 1.1\nThe ball is released and rolls along the bench. At a fixed point P, the ball has speed v. The speed\nSIHT\nof the ball at P is determined using one light gate connected to a timer.\nNI\nETIRW\nSeveral steel balls of different radii are available.\nTON It is suggested that v is related to r by the relationship\nOD\nYkx2\n2 = v\nnρ r\nNIGRAM\nwhere k is the spring constant of the spring,ρ is the density of the steel, and Y and n are constants.\nSIHT Plan a laboratory experiment to test the relationship between v and r.\nNI\nDraw a diagram showing the arrangement of your equipment.\nETIRW\nExplain how the results could be used to determine values for Y and n.\nTON\nOD In your plan you should include:\n• the procedure to be followed\nNIGRAM • the measurements to be taken\n• the control of variables\nSIHT\n• the analysis of the data NI\nETIRW\n• any safety precautions to be taken.\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:205)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:223)(cid:250)(cid:183)(cid:254)(cid:215)\n© UCLES 2025 9702/53/O/N/25 (cid:300)(cid:196)(cid:240)(cid:250)(cid:213)(cid:289)(cid:263)(cid:261)(cid:225)(cid:267)(cid:267)(cid:283)(cid:193)(cid:226)(cid:283)(cid:187)(cid:270)(cid:258) OD\n(cid:293)(cid:261)(cid:245)(cid:277)(cid:181)(cid:213)(cid:293)(cid:245)(cid:197)(cid:213)(cid:261)(cid:197)(cid:197)(cid:213)(cid:293)(cid:277)(cid:181)(cid:213)\nNIGRAM\n3\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:4)(cid:44)\nDiagram\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\nSIHT\nNI\nETIRW ..................................................................................................................................................................\n.................................................................................................................................................................. TON\nOD\n..................................................................................................................................................................\n..................................................................................................................................................................\nNIGRAM\n..................................................................................................................................................................\n..................................................................................................................................................................\nSIHT\nNI ........................................................." }, { "id": "9702-2025-on-53-q02", "subject": "9702", "year": 2025, "session": "Oct/Nov", "session_code": "on", "paper": 5, "variant": "53", "question_number": 2, "topic_number": null, "topic": "Practical skills", "topic_slug": "9702-practical-skills", "marks": 15, "source_pdf": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_qp_53.pdf?download=true", "source_pages": [ 5, 6, 7, 8 ], "local_pdf": "_source-pdfs/2025-Oct-Nov/qp/9702_w25_qp_53.pdf", "image_paths": [ "9702-practical-skills/assets/9702-2025-on-53-q02-p01.png", "9702-practical-skills/assets/9702-2025-on-53-q02-p02.png", "9702-practical-skills/assets/9702-2025-on-53-q02-p03.png", "9702-practical-skills/assets/9702-2025-on-53-q02-p04.png" ], "answer": { "status": "available", "id": "9702-2025-on-53-q02", "html": "9702-practical-skills/answers.html", "source_pdf": "_source-pdfs/2025-Oct-Nov/ms/9702_w25_ms_53.pdf", "source_pdf_url": "https://pastpapers.co/api/file/caie/A-Level/Physics-9702/2025-Oct-Nov/9702_w25_ms_53.pdf?download=true", "source_pages": [ 9, 10, 11 ], "marks": 15 }, "text_excerpt": "NIGRAM\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:6)(cid:44)\n2 A student investigates light from different galaxies.\nSIHT\nNI Fig. 2.1 shows the lines in the absorption spectrum from a distant galaxy.\nETIRW\nλ\nTON\nOD\nNIGRAM\nincreasing wavelength\nSIHT\nFig. 2.1\nNI\nETIRW\nisλ . The wavelength of this spectral The wavelength of one of the lines in the absorption spectrum\nλ. line in the laboratory is\n0 TON\nThe observations of the same spectral line are repeated for different galaxies. OD\nThe student determines the distance d of each galaxy from the Earth.\nλ and d are related by the equation It is suggested that NIGRAM\nλ – λ Hd\n0 SIHT =\nλ c\n0\nNI\nETIRW\nwhere c is the speed of light in free space and H is the Hubble constant.\nTON d\nλ on the y-axis against (a) A graph is plotted of on the x-axis.\nc OD\nDetermine expressions for the gradient and y-intercept.\nNIGRAM\nSIHT\nNI\nETIRW\ngradient = ...............................................................\nTON\ny-intercept = ...............................................................\nOD\n[1]\nNIGRAM\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:207)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:221)(cid:252)(cid:183)(cid:256)(cid:215) [Turn over © UCLES 2025 9702/53/O/N/25 (cid:300)(cid:196)(cid:240)(cid:251)(cid:213)(cid:299)(cid:245)(cid:260)(cid:214)(cid:261)(cid:260)(cid:276)(cid:291)(cid:254)(cid:185)(cid:235)(cid:294)(cid:258) OD\n(cid:293)(cid:181)(cid:229)(cid:277)(cid:245)(cid:213)(cid:293)(cid:213)(cid:229)(cid:245)(cid:245)(cid:197)(cid:261)(cid:213)(cid:197)(cid:277)(cid:229)(cid:213)\nNIGRAM\n6\n(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:7)(cid:44)\n(b) Values of d and λ are given in Table 2.1.\nSIHT\nNI Table 2.1\nETIRW\nd\nTON 1021 1015 d / km λ / nm / s\nc\nOD\n0.48 ± 0.12 658.4\nNIGRAM\n1.04 ± 0.12 661.2\nSIHT\n1.45 ± 0.12 664.2\nNI\nETIRW\n1.80 ± 0.12 665.7\nTON\nOD 2.85 ± 0.12 672.4\n3.75 ± 0.12 678.2\nNIGRAM\n5 s–1. The value of c is 3.00 × 10 km\nSIHT\nd d\n1015 s in Table 2.1. Include the absolute uncertainties in Calculate and record values of / .\nNI\nc c\nETIRW\n[2]\nd d\nTON 1015 λ / nma gainst s. Include error bars for / . [2] (c) (i) Plot a graph of\nc c\nOD\n(ii) Draw the straight line of best fit and a worst acceptable straight line on your graph. Label\nboth lines. [2]\n(iii) Determine the gradient of the line of best fit. Include the absolute uncertainty in your\nNIGRAM\nanswer.\nSIHT\nNI\nETIRW\nTON\nOD\nNIGRAM\ngradient = ......................................................... [2]\nSIHT\nNI\nETIRW\nTON\n(cid:300)(cid:209)(cid:250)(cid:190)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:252)(cid:182)(cid:254)(cid:215)\n© UCLES 2025 9702/53/O/N/25 (cid:300)(cid:196)(cid:239)(cid:251)(cid:218)(cid:289)(cid:269)(cid:266)(cid:206)(cid:258)(cid:241)(cid:297)(cid:259)(cid:246)(cid:220)(cid:259)(cid:278)(cid:258) OD\n(cid:293)(cid:293)(cid:261)(" } ] }