Cambridge A Level Physics 9702 — 2017 May/June Paper 1 · Variant 3

9702/13/M/J/17 · 40 questions · 40 marks · ≈45 min

The question paper and its mark scheme, free to read here and free to download. This is Cambridge’s own paper, exactly as it was sat.

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Mark scheme3 pages

Answers below. Sit the paper first if you are practising.

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Questions as text

Q1 · What is the best estimate of the kinetic energy of a family car travelling at 50 km h–1?

1 What is the best estimate of the kinetic energy of a family car travelling at 50 km h–1? A 1.5 × 103 J B 1.5 × 105 J C 1.5 × 107 J D 1.5 × 109 J

Mark scheme: B

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Q2 · The diagram shows two vectors X and Y

2 The diagram shows two vectors X and Y. The vectors are perpendicular to one another. Y = 6.0 N X = 8.0 N What is the magnitude and direction of vector (X – Y)? A 10.0 N at an angle of 37° downwards from the direction of X B 10.0 N at an angle of 37° upwards from the direction of X C 14.0 N at an angle of 53° downwards from the direction of X D 14.0 N at an angle of 53° upwards from the direction of X

Mark scheme: B

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Q3 · Which expression using SI base units is equivalent to the volt?

3 Which expression using SI base units is equivalent to the volt? A kg m2 s–1 A–1 B kg m s–2 A C kg m2 s–1 A D kg m2 s–3 A–1

Mark scheme: D

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Q4 · A voltage is carefully measured with a high-quality instrument and found to be 2.321 V

4 A voltage is carefully measured with a high-quality instrument and found to be 2.321 V. Two students, using two different methods, conclude that the voltage is 2.33 V and 2.344 V respectively. Which statement is correct? A 2.33 V is less accurate and less precise than 2.344 V. B 2.33 V is less accurate and more precise than 2.344 V. C 2.33 V is more accurate and less precise than 2.344 V. D 2.33 V is more accurate and more precise than 2.344 V.

Mark scheme: C

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Q5 · On a planet, a vertically-launched projectile takes 12.5 s to return to its starting…

5 On a planet, a vertically-launched projectile takes 12.5 s to return to its starting position. The projectile gains a maximum height of 170 m. The planet does not have an atmosphere. What is the acceleration of free fall on this planet? A 2.2 m s–2 B 8.7 m s–2 C 27 m s–2 D 54 m s–2

Mark scheme: B

More questions on Equations of motion

Q6 · A displacement-time graph for a toy car is shown

6 A displacement-time graph for a toy car is shown. 2 displacement / m 0 time / s 0 2 4 6 8 10 –2 Which graph shows the variation with time of the velocity v of the car? A B 2 2 v / m s–1 v / m s–1 0 time / s 0 time / s 0 2 4 6 8 10 0 2 4 6 8 10 –2 –2 C D 2 2 v / m s–1 v / m s–1 0 time / s 0 time / s 0 2 4 6 8 10 0 2 4 6 8 10 –2 –2

Mark scheme: A

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Q7 · A driver stops his car in time t by gradually increasing the total braking force on the…

7 A driver stops his car in time t by gradually increasing the total braking force on the car. The graph shows the resultant force on the car. force 0 0 t time Which graph shows how the speed of the car will vary during this time? A B speed speed 0 0 0 t 0 t time time C D speed speed 0 0 0 t 0 t time time

Mark scheme: D

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Q8 · The graph shows the variation of a quantity y with a quantity x for a body that is…

8 The graph shows the variation of a quantity y with a quantity x for a body that is falling in air at constant (terminal) velocity in a uniform gravitational field. quantity y 0 0 quantity x Which quantities could x and y represent? x y A air resistance acceleration B loss of height gain in kinetic energy C loss of potential energy work done against air resistance D time velocity

Mark scheme: C

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Q9 · A ball of mass 2.0 kg travels horizontally with a speed of 4.0 m s–1

9 A ball of mass 2.0 kg travels horizontally with a speed of 4.0 m s–1. The ball collides with a wall and rebounds in the opposite direction with a speed of 2.8 m s–1. The time of the collision is 150 ms. What is the average force exerted on the wall? A 16 N B 37 N C 53 N D 91 N

Mark scheme: D

More questions on Linear momentum and its conservation

Q10 · An ice-hockey puck of mass 150 g moves with an initial speed of 2.0 m s–1 along the…

10 An ice-hockey puck of mass 150 g moves with an initial speed of 2.0 m s–1 along the surface of an ice rink. The puck slides a distance of 30 m in a straight line before stopping. What is the average frictional force acting on the puck? A 0.010 N B 0.020 N C 0.067 N D 0.44 N

Mark scheme: A

More questions on Energy conservation

Q11 · A uniform beam of mass 1.4 kg is pivoted at P as shown

11 A uniform beam of mass 1.4 kg is pivoted at P as shown. The beam has a length of 0.60 m and P is 0.20 m from one end. Loads of 3.0 kg and 6.0 kg are suspended 0.35 m and 0.15 m from the pivot as shown. 0.40 m 0.20 m 0.35 m 0.15 m 3.0 kg P 6.0 kg centre of beam of mass 1.4 kg What is the torque that must be applied to the beam in order to maintain it in equilibrium? A 0.010 N m B 0.10 N m C 0.29 N m D 2.8 N m

Mark scheme: D

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Q12 · An air bubble is rising through a liquid at a constant speed

12 An air bubble is rising through a liquid at a constant speed. The forces on it are the upthrust U, the viscous drag D and its weight W. Which diagram shows the directions and relative sizes of the forces? A B C D U U U U D W W D D W D W

Mark scheme: A

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Q13 · The diagram represents a sphere under water

13 The diagram represents a sphere under water. P, Q, R and S are forces acting on the sphere due to the pressure of the water. water surface P S Q R Each force acts perpendicularly to the sphere’s surface. P and R act in opposite directions vertically. Q and S act in opposite directions horizontally. Which information about the magnitudes of the forces is correct? A P < R and S = Q B P > R and S = Q C P = R and S = Q and P < S D P = R and S = Q and P = S

Mark scheme: A

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Q14 · The first column in the table gives four examples of work being done

14 The first column in the table gives four examples of work being done. The second column gives more detail of the action. Which row is not correct? example detail A a girl dives from a diving work is done by the girl against board into a swimming pool the gravitational field as she falls B a man pushes a car work is done by the along a level road man against friction C an electron is accelerated towards work is done on the electron a positively charged plate by the electric field of the plate D a piston is pushed outwards work is done on the as a gas expands atmosphere by the gas

Mark scheme: A

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Q15 · A steam turbine is used to drive a generator

15 A steam turbine is used to drive a generator. The input power to the turbine is PI and the output power is PO. The power loss in the turbine is PL, as shown below. input power PI output power PO turbine generator power loss PL What is the efficiency of the turbine? A P B PI C PL D PO L P P P P O O I I

Mark scheme: D

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Q16 · A constant force pushes a block along a horizontal frictionless surface

16 A constant force pushes a block along a horizontal frictionless surface. The block moves from rest through a fixed distance. What is the relationship between the final speed v of the block and its mass m? A 1 B C 1 D v ∝ m v ∝ m v ∝ v ∝ m m

Mark scheme: C

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Q17 · A man has a mass of 80 kg

17 A man has a mass of 80 kg. He ties himself to one end of a rope which passes over a single fixed pulley. He pulls on the other end of the rope to lift himself up at an average speed of 50 cm s–1. What is the average useful power at which he is working? A 40 W B 0.39 kW C 4.0 kW D 39 kW

Mark scheme: B

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Q18 · Two wires with the same Young modulus E and cross-sectional area A, but different lengths…

18 Two wires with the same Young modulus E and cross-sectional area A, but different lengths L, are subject to different tensile forces F. The extension e of each wire is the same. The column headings in the table show four different quantities. Which quantities have the same value and which quantities have different values for the two wires? FL Ae E e L FL A different different same B different same same C same different different D same different same

Mark scheme: D

More questions on Stress and strain

Q19 · Two springs X and Y stretch elastically

19 Two springs X and Y stretch elastically. The graphs show the variation with extension x of the force F applied to each spring. spring X spring Y 20 80 F / N F / N 0 0 0 10 0 5 x / cm x / cm Which statement is correct? A When each spring is given the same extension, the energy stored in Y is 4 times the energy stored in X. B When each spring is given the same extension, the energy stored in Y is 8 times the energy stored in X. C When the same force is applied to each spring, the energy stored in Y is 4 times the energy stored in X. D When the same force is applied to each spring, the energy stored in Y is 8 times the energy stored in X.

Mark scheme: B

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Q20 · The diagram shows the force-extension graph for a steel wire, up to its breaking point

20 The diagram shows the force-extension graph for a steel wire, up to its breaking point. 250 force / N 200 150 100 50 0 0 5 10 extension / mm What is the best estimate of the work done to break the wire? A 2.1 J B 2.3 J C 2.4 J D 2.5 J

Mark scheme: A

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Q21 · Which statement about electromagnetic waves in a vacuum is correct?

21 Which statement about electromagnetic waves in a vacuum is correct? A Amplitude is inversely proportional to velocity. B Frequency is inversely proportional to wavelength. C Intensity is proportional to amplitude. D Velocity is proportional to wavelength.

Mark scheme: B

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Q22 · A transverse wave travels along a rope

22 A transverse wave travels along a rope. The graph shows the variation of the displacement of the particles in the rope with distance along it at a particular instant. direction of travel of wave displacement 0 distance / m 0 1.0 2.0 3.0 At which distance along the rope do the particles have maximum upwards velocity? A 0.5 m B 1.0 m C 1.5 m D 2.0 m

Mark scheme: A

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Q23 · A trace is shown on the screen of a cathode-ray oscilloscope (c.r.o.)

23 A trace is shown on the screen of a cathode-ray oscilloscope (c.r.o.). 1.0 cm 1.0 cm The time-base setting is 2.5 ms cm–1 and the Y-gain is 2.0 V cm–1. What is the frequency and the amplitude of the waveform displayed by the c.r.o.? frequency amplitude / Hz / V A 0.00375 4.0 B 0.00375 8.0 C 267 4.0 D 267 8.0

Mark scheme: C

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Q24 · A high-speed train approaches a stationary observer at a speed of 80 m s–1

24 A high-speed train approaches a stationary observer at a speed of 80 m s–1. The train’s horn emits a sound of frequency 250 Hz. The speed of sound is 340 m s–1. What is the observed frequency of the sound from the horn? A 190 Hz B 200 Hz C 310 Hz D 330 Hz

Mark scheme: D

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Q25 · Which row shows a correct frequency in Hz for each of the four principal radiations?

25 Which row shows a correct frequency in Hz for each of the four principal radiations? X-rays ultraviolet microwaves infra-red A 1010 1014 1018 1015 B 1014 1018 1015 1010 C 1015 1010 1014 1018 D 1018 1015 1010 1014

Mark scheme: D

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Q26 · A pipe of length 100 cm is open at both ends

26 A pipe of length 100 cm is open at both ends. A loudspeaker situated at one end of the pipe can emit sound of different wavelengths. 100 cm loudspeaker pipe At which wavelength can a stationary wave be produced in the pipe? A 50 cm B 75 cm C 150 cm D 300 cm

Mark scheme: A

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Q27 · Monochromatic light is incident on a diffraction grating and a diffraction pattern is…

27 Monochromatic light is incident on a diffraction grating and a diffraction pattern is observed. Which row shows possible effects of replacing the grating with one that has twice as many lines per millimetre? number of orders of angle between first and diffraction visible second orders of diffraction A decreases decreases B decreases increases C increases decreases D increases increases

Mark scheme: B

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Q28 · Monochromatic light of wavelength λ is incident on two narrow slits S1 and S2, a small…

28 Monochromatic light of wavelength λ is incident on two narrow slits S1 and S2, a small distance apart. A series of bright and dark fringes are observed on a screen a long distance away from the slits. P S1 screen light wavelength λ S2 The n th dark fringe from the central bright fringe is observed at point P on the screen. Which equation is correct for all positive values of n? A n λ S2P – S1P = 2 B S2P – S1P = nλ C S2P – S1P = (n – 2 1 )λ D S2P – S1P = (n + 2 1 )λ

Mark scheme: C

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Q29 · A dipole is a pair of charges of equal magnitude, one negative and one positive

29 A dipole is a pair of charges of equal magnitude, one negative and one positive. The electric field of a dipole is shown below. In which direction does the force act on an electron when at point X? X A D B C – +

Mark scheme: D

More questions on Electric fields and field lines

Q30 · In a uniform electric field, which statement is correct?

30 In a uniform electric field, which statement is correct? A All charged particles experience the same force. B All charged particles move with the same velocity. C All electric field lines are directed towards positive charges. D All electric field lines are parallel.

Mark scheme: D

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Q31 · Two metal plates are a distance of 30 cm apart in a vacuum

31 Two metal plates are a distance of 30 cm apart in a vacuum. A current exists between the two plates consisting of electrons moving at a constant speed of 1.5 × 106 m s–1. At any instant, there is always just one electron travelling between the plates. What is the current between the plates? A 3.2 × 10–26 A B 8.0 × 10–13 A C 1.6 × 10–12 A D 2.0 × 10–7 A

Mark scheme: B

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Q32 · The diagram shows a portable generator connected by cables to floodlights

32 The diagram shows a portable generator connected by cables to floodlights. The generator produces a current of 10 A at a constant potential difference (p.d.) of 240 V. The total resistance of the cables is 2 Ω. generator 1 Ω 240 V cables floodlights 10 A 1 Ω What is the p.d. V across, and the power P delivered to, the floodlights? V / V P / W A 220 2000 B 220 2200 C 230 2000 D 230 2300

Mark scheme: B

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Q33 · A metal cube with sides of length a has electrical resistance R between opposite faces

33 A metal cube with sides of length a has electrical resistance R between opposite faces. a What is the resistance between the opposite faces of a cube of the same metal with sides of length 3a? A 9R B 3R C R D R 3 9

Mark scheme: C

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Q34 · A graph of potential difference (p.d.) V across a cell against current I in the cell is…

34 A graph of potential difference (p.d.) V across a cell against current I in the cell is shown. V 0 0 I As the cell reaches the end of its useful life, its internal resistance increases and its electromotive force (e.m.f.) decreases. Which diagram shows a graph of V against I for the cell nearing the end of its useful life? A B C D V V V V line of original graph 0 0 0 0 0 I 0 I 0 I 0 I

Mark scheme: B

More questions on Practical circuits

Q35 · A 20 V d.c

35 A 20 V d.c. supply is connected to a circuit consisting of five resistors L, M, N, P and Q. L M 7 V drop 4 V N drop P Q + – 20 V rise There is a potential drop of 7 V across L and a further 4 V potential drop across N. What are the potential drops across M, P and Q? potential drop potential drop potential drop across M / V across P / V across Q / V A 9 7 13 B 13 7 13 C 13 11 9 D 17 3 17

Mark scheme: C

More questions on Kirchhoff’s laws

Q36 · A potential divider circuit consists of a cell of negligible internal resistance in…

36 A potential divider circuit consists of a cell of negligible internal resistance in series with two variable resistors of resistances R1 and R2. The potential difference (p.d.) across the cell is V0. The p.d. at the output is V. R1 V0 R2 V Which statement is correct? A When R1 increases, it takes a greater proportion of V0, so V decreases. B When R1 increases, the current through R1 and R2 decreases, so V increases. C When R2 decreases, it takes a smaller proportion of V0, so V increases. D When R2 increases, the current through R1 and R2 decreases, so V decreases.

Mark scheme: A

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Q37 · A nucleus of uranium-238, 238 U , decays in a series of steps to form a nucleus of…

37 A nucleus of uranium-238, 238 U , decays in a series of steps to form a nucleus of lead-206, 92 206 Pb , as shown. 82 238 U → ............ → 206 Pb 92 82 An α-particle or a β– particle is emitted during each step. What is the total number of β– particles that are emitted? A 6 B 8 C 10 D 16

Mark scheme: A

More questions on Radioactive decay

Q38 · Which statement about α-particles is correct?

38 Which statement about α-particles is correct? A α-particles emitted from a single radioactive isotope have a continuous distribution of energies. B α-particles have less ionising power than β-particles. C The charge of an α-particle is +1.60 × 10–19 C. D The speeds of α-particles can be as high as 1.5 × 107 m s–1.

Mark scheme: D

More questions on Atoms, nuclei and radiation

Q39 · The nuclear equation shown has a term missing

39 The nuclear equation shown has a term missing. 14 C → 14 N + 0 1 + ............. β 6 7 − What is represented by the missing term? A an antineutrino B an electron C a neutrino D a positron

Mark scheme: A

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Q40 · Which particle is a fundamental particle?

40 Which particle is a fundamental particle? A electron B hadron C neutron D proton

Mark scheme: A

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