Cambridge A Level Physics 9702 — 2018 May/June Paper 1 · Variant 2

Question 1

1 A sheet of gold leaf has a thickness of 0.125 µm. A gold atom has a radius of 174 pm. Approximately how many layers of atoms are there in the sheet? A 4 B 7 C 400 D 700

Accepted Answer

C

Question 2

2 The drag coefficient Cd is a number with no units. It is used to compare the drag on different cars at different speeds. Cd is given by the equation 2 F Cd = v nρ A where F is the drag force on the car, ρ is the density of the air, A is the cross-sectional area of the car and v is the speed of the car. What is the value of n? A 1 B 2 C 3 D 4

Accepted Answer

B

Question 3

3 A student measures the current through a resistor and the potential difference (p.d.) across it. There is a 4% uncertainty in the current reading and a 1% uncertainty in the p.d. reading. The student calculates the resistance of the resistor. What is the percentage uncertainty in the calculated resistance? A 0.25% B 3% C 4% D 5%

Accepted Answer

D

Question 4

4 A student applies a potential difference V of (4.0 ± 0.1) V across a resistor of resistance R of (10.0 ± 0.3) Ω for a time t of (50 ± 1) s. The student calculates the energy E dissipated using the equation below. V 2 t 4.02 × 50 E = R = = 80 J 10.0 What is the absolute uncertainty in the calculated energy value? A 1.5 J B 3 J C 6 J D 8 J

Accepted Answer

D

Question 5

5 The velocity of an object changes with time t as shown. velocity 0 0 t Which graph best shows the variation with time t of the displacement s of the object? A B s s 0 0 0 t 0 t C D s s 0 0 0 t 0 t

Accepted Answer

A

Question 6

6 A projectile is launched at an angle to the horizontal at time t = 0. It travels over horizontal ground, as shown. path of projectile ground Assume that air resistance is negligible. Which graph best shows the variation with t of the speed of the projectile from when it is launched to when it lands on the ground? A B speed speed 0 0 0 t 0 t C D speed speed 0 0 0 t 0 t

Accepted Answer

C

Question 7

7 A sky-diver falls vertically from a helicopter and reaches constant (terminal) velocity. The graph shows the variation with time t of the speed v of the sky-diver. v 0 0 t Which graph shows the variation with time t of the distance d fallen by the sky-diver? A B C D d d d d 0 0 0 0 0 t 0 t 0 t 0 t

Accepted Answer

C

Question 8

8 A tennis ball of mass 55 g is travelling horizontally with a speed of 30 m s–1. The ball makes contact with a wall before rebounding in the horizontal direction with a speed of 20 m s–1. The ball is in contact with the wall for a time of 5.0 × 10–3 s. What is the average force exerted on the wall by the ball? A 110 N B 220 N C 330 N D 550 N

Accepted Answer

D

Question 9

9 An elastic collision occurs between two bodies X and Y. The mass of body X is m and the mass 3v  in the opposite of body Y is 4m. Body X travels at speed v before the collision and speed 5 direction after the collision. Body Y is stationary before the collision. 3v v 5 X Y X Y m 4m m 4m before after What is the kinetic energy of body Y after the collision? 8 mv 2 34 mv 2 16 mv 2 1 mv 2 A B C D 10 50 50 5

Accepted Answer

C

Question 10

10 The density of water is 1.0 g cm–3 and the density of glycerine is 1.3 g cm–3. Water is added to a measuring cylinder containing 40 cm3 of glycerine so that the density of the mixture is 1.1 g cm–3. Assume that the mixing process does not change the total volume of the liquid. What is the volume of water added? A 40 cm3 B 44 cm3 C 52 cm3 D 80 cm3

Accepted Answer

D

Question 11

11 An astronaut throws a stone horizontally near to the surface of the Moon, where there is no atmosphere. Which row describes the horizontal and vertical forces acting on the stone after release? horizontal force vertical force A non-zero and constant constant B non-zero and constant decreasing C zero constant D zero decreasing

Accepted Answer

C

Question 12

12 A cylindrical block of wood has cross-sectional area A and weight W. It is totally immersed in water with its axis vertical. The block experiences pressures pt and pb at its top and bottom surfaces respectively. Which expression is equal to the upthrust on the block? A (pb – pt) B (pb – pt)A C (pb – pt)A – W D (pb – pt)A + W

Accepted Answer

B

Question 13

13 A uniform diving-board is held by two fixed rods at points P and Q. A person stands at end R of the diving-board, as shown. rod Q P rod R The forces exerted by the rods on the board are vertical. The board remains in equilibrium as the person slowly moves towards point Q from end R. Which row describes the changes to the forces exerted by the rods on the board? force at P force at Q A decreases decreases B decreases increases C increases decreases D increases increases

Accepted Answer

A

Question 14

14 Two forces, each of magnitude F, act in opposite directions on a rod. F P d d F Each force acts on the rod at a distance d from the pivot P. What is the torque of this couple about P? A 0 B F × d C 2F × d D 2F × 2d

Accepted Answer

C

Question 15

15 The vector diagram shows three coplanar forces acting on an object at P. 3 N P 4 N 4 N The magnitude of the resultant of these three forces is 1 N. What is the direction of this resultant force? A B C D

Accepted Answer

D

Question 16

16 In ‘normal driving conditions’, an electric car has a range of 150 km. This uses all of the 200 MJ of energy stored in its batteries. With the batteries initially fully charged, the car is driven 100 km in ‘normal driving conditions’. The batteries are then recharged from a household electrical supply delivering a constant current of 13.0 A at a potential difference of 230 V. What is the minimum time required to recharge the batteries? A 0.95 hours B 12.4 hours C 18.6 hours D 27.9 hours

Accepted Answer

B

Question 17

17 The diagram shows a ball of weight W hanging in equilibrium from a string. θ T string ball P rod W The string is at an angle θ to the vertical. The tension in the string is T. The ball is held away from the wall by a horizontal force P from a metal rod. What is the relationship between the magnitudes of T, P and W ? A P = T cosθ   and  W = T sinθ B T = P + W C T 2 = P 2 + W 2 D W = P tanθ   and  W = T cosθ

Accepted Answer

C

Question 18

18 A steel sphere is dropped vertically onto a horizontal metal plate. The sphere hits the plate with speed u, leaves it at speed v, and rebounds vertically to half of its original height. Ignore air resistance. Which expression gives the value of u v ? A 1 B 1 C 1 D 1 – 1 2 2 2 2 2

Accepted Answer

C

Question 19

19 A car of mass 500 kg is at rest at point X on a slope, as shown. The car’s brakes are released and the car rolls down the slope with its engine switched off. At point Y the car has moved through a vertical height of 30 m and has a speed of 11 m s–1. mass = 500 kg speed = 0 m s–1 X 30 m speed = 11 m s–1 Y What is the energy dissipated by frictional forces when the car moves from X to Y? A 3.0 × 104 J B 1.2 × 105 J C 1.5 × 105 J D 1.8 × 105 J

Accepted Answer

B

Question 20

20 An elastic material with Young modulus E is subjected to a tensile stress S. Hooke’s law is obeyed. What is the expression for the elastic energy stored per unit volume of the material? E 2 E S 2 S A B C D 2 2 S S 2 E 2 E 2

Accepted Answer

D

Question 21

21 The graph shows the length of a spring as it is stretched by an increasing load. 15 length / cm 10 5 0 0 0.1 0.2 0.3 0.4 0.5 load / N What is the spring constant of the spring? A 0.080 N m–1 B 0.13 N m–1 C 2.7 N m–1 D 8.0 N m–1

Accepted Answer

D

Question 22

22 Two lasers emit light in a vacuum. One laser emits red light and the other emits green light. Which property of the two laser beams must be different? A amplitude B frequency C intensity D speed

Accepted Answer

B

Question 23

23 The diagram shows the screen of a cathode-ray oscilloscope (c.r.o.) displaying a wave. The time-base of the c.r.o. is set at 10 ms / division. What is the frequency of the wave? A 0.24 Hz B 4.2 Hz C 12 Hz D 24 Hz

Accepted Answer

D

Question 24

24 A string is fixed at one end and the other end is attached to a vibrator. The frequency of the vibrator is slowly increased from zero. A series of stationary waves is formed. Assume that for a stationary wave there is a node at point P. string P fixed vibrator L What are the first five wavelengths of the stationary waves that could be formed? A 2 1 L , 2 2 L , 2 3 L , 2 4 L , 2 5 L B 2 2 L , 2 3 L , 2 4 L , 2 5 L , 2 6 L C 4 1 L , 4 2 L , 4 3 L , 4 4 L , 4 5 L D 4 1 L , 4 3 L , 4 5 L , 4 7 L , 4 9 L

Accepted Answer

A

Question 25

25 Which region of the electromagnetic spectrum has waves of wavelength 1000 times smaller than the wavelength of visible light? A infra-red B microwaves C ultraviolet D X-rays

Accepted Answer

D

Question 26

26 The diagram shows apparatus for the measurement of the frequency of a sound wave. D microphone source of sound metal plate Sound of the unknown frequency is reflected back from a metal plate. A microphone placed at a distance D from the metal plate detects the sound intensity. A minimum intensity is detected with D = 12.0 cm. The plate is moved further away from the microphone until the next minimum is detected with D = 15.0 cm. The speed of sound in air is 336 m s–1. What is the frequency of the sound? A 56 Hz B 112 Hz C 5600 Hz D 11 200 Hz

Accepted Answer

C

Question 27

27 An astronomer observes the light from a star that is moving away from the Earth. For the observed light, what has been increased due to the star’s motion? A amplitude B frequency C speed D wavelength

Accepted Answer

D

Question 28

28 The diagram shows a stationary wave, at time t = 0, that has been set up on a string fixed between points P and S. X Y P Q R S The nodes of the stationary wave occur on the string at P, Q, R and S. Point X is moving down at time t = 0. The points on the string vibrate with time period T and maximum amplitude 2 cm. The displacement s is positive in the upward direction. Which graph best shows the variation with t of the displacement s of point Y on the string? A B 2 2 s / cm s / cm 0 0 0 T t 0 T t 2 2 –2 –2 C D 2 2 s / cm s / cm 0 0 0 T t 0 T t 2 2 –2 –2

Accepted Answer

A

Question 29

29 A two-source interference experiment uses the apparatus shown. lamp single double screen slit slit What is the main purpose of the single slit? A to make a narrow beam of light B to make the same amplitude of light incident on each slit C to provide coherent light D to provide monochromatic light

Accepted Answer

C

Question 30

30 Two large parallel metal plates X and Y are situated in a vacuum as shown. plate X + positively charged particle plate Y – Plates X and Y carry equal and opposite charges. What happens to the force on a positively charged particle as it moves from plate X to plate Y? A It decreases because the positively charged particle is moving away from the positively charged plate. B It decreases because the positively charged particle is moving in the direction of the electric field between the plates. C It increases because the positively charged particle is moving closer to a negatively charged plate. D It remains constant because the positively charged particle is in the uniform electric field between the plates.

Accepted Answer

D

Question 31

31 Four diagrams representing the electric field between two oppositely-charged point charges are shown. Which diagram correctly shows the electric field lines? A B + – + – C D + – + –

Accepted Answer

A

Question 32

32 The power output of an electrical supply is 2.4 kW at a potential difference (p.d.) of 240 V. The two wires between the supply and a kettle each have a resistance of 0.50 Ω, as shown. supply kettle 0.50 Ω 240 V 2.4 kW 0.50 Ω What is the power supplied to the kettle and what is the p.d. across the kettle? power / kW p.d. / V A 2.3 230 B 2.3 235 C 2.4 230 D 2.4 235

Accepted Answer

A

Question 33

33 Which graph shows the variation of voltage V with current I for a semiconductor diode? A B V V 0 0 0 I 0 I C D V V 0 0 0 I 0 I

Accepted Answer

B

Question 34

34 Four different resistors are arranged as shown. A current of 1.5 A enters the network at junction X and leaves through junction Y. 1.5 A Y 70 Ω 60 Ω 1.5 A X 50 Ω 30 Ω What is the current in the resistor of resistance 30 Ω? A 0.21 A B 0.50 A C 0.75 A D 1.0 A

Accepted Answer

B

Question 35

35 A cell of constant electromotive force drives a current I through an external resistor of resistance R. The terminal potential difference (p.d.) across the cell is V. V r cell I R When the internal resistance r of the cell increases, what is the effect on V and on I? V I A decreases decreases B decreases increases C increases decreases D increases increases

Accepted Answer

A

Question 36

36 In the circuits shown, the batteries are identical and all have negligible internal resistance. All of the resistors have the same resistance. The diodes have zero resistance when conducting and infinite resistance when not conducting. In which circuit is the current in the battery greatest? A B C D

Accepted Answer

A

Question 37

37 A thermistor is an electrical component with a resistance that varies with temperature. A thermistor T is used in a fire alarm system. The alarm is triggered when the potential difference between X and Y is 4.5 V. 12 V T 150 Ω X Y What is the resistance of T when the alarm is triggered? A 90 Ω B 150 Ω C 250 Ω D 400 Ω

Accepted Answer

C

Question 38

38 In the α-particle scattering experiment, a beam of α-particles is aimed at a thin gold foil. Most of the α-particles go straight through or are deflected by a small angle. A very small proportion are deflected through more than 90°, effectively rebounding towards the source of the α-particles. Which conclusion about the structure of atoms cannot be drawn from this experiment alone? A Most of the atom is empty space. B Most of the mass of an atom is concentrated in the nucleus. C The nucleus contains both protons and neutrons. D The nucleus is charged.

Accepted Answer

C

Question 39

39 Radon-211, 211 Rn , francium-210, 210 Fr , and radium-212, 212 Ra , are three nuclides. 86 87 88 How many neutrons does each nuclide have in its nucleus? radon-211 francium-210 radium-212 A 86 87 88 B 125 123 124 C 211 210 212 D 297 297 300

Accepted Answer

B

Question 40

40 A neutron is composed of one up (u) quark and two down (d) quarks. When the neutron decays to a proton, there is β-emission. What is the change in the quark structure of the neutron due to the β-emission? (The symbol for a neutrino is νe and for an antineutrino is ν .) e A d  →  u  +  β–  +  νe B d  →  u  +  β–  + ν e C u  →  d  +  β+  +  νe D u  →  d  +  β+  + ν e

Accepted Answer

B

Question paper20 pages

Mark scheme3 pages

Questions as text

Q1 · A sheet of gold leaf has a thickness of 0.125 µm

Q2 · The drag coefficient Cd is a number with no units

Q3 · A student measures the current through a resistor and the potential difference (p.d.)…

Q4 · A student applies a potential difference V of (4.0 ± 0.1) V across a resistor of…

Q5 · The velocity of an object changes with time t as shown

Q6 · A projectile is launched at an angle to the horizontal at time t = 0

Q7 · A sky-diver falls vertically from a helicopter and reaches constant (terminal) velocity

Q8 · A tennis ball of mass 55 g is travelling horizontally with a speed of 30 m s–1

Q9 · An elastic collision occurs between two bodies X and Y

Q10 · The density of water is 1.0 g cm–3 and the density of glycerine is 1.3 g cm–3

Q11 · An astronaut throws a stone horizontally near to the surface of the Moon, where there is…

Q12 · A cylindrical block of wood has cross-sectional area A and weight W

Q13 · A uniform diving-board is held by two fixed rods at points P and Q

Q14 · Two forces, each of magnitude F, act in opposite directions on a rod

Q15 · The vector diagram shows three coplanar forces acting on an object at P

Q16 · In ‘normal driving conditions’, an electric car has a range of 150 km

Q17 · The diagram shows a ball of weight W hanging in equilibrium from a string

Q18 · A steel sphere is dropped vertically onto a horizontal metal plate

Q19 · A car of mass 500 kg is at rest at point X on a slope, as shown

Q20 · An elastic material with Young modulus E is subjected to a tensile stress S

Q21 · The graph shows the length of a spring as it is stretched by an increasing load

Q22 · Two lasers emit light in a vacuum

Q23 · The diagram shows the screen of a cathode-ray oscilloscope (c.r.o.) displaying a wave

Q24 · A string is fixed at one end and the other end is attached to a vibrator

Q25 · Which region of the electromagnetic spectrum has waves of wavelength 1000 times smaller…

Q26 · The diagram shows apparatus for the measurement of the frequency of a sound wave

Q27 · An astronomer observes the light from a star that is moving away from the Earth

Q28 · The diagram shows a stationary wave, at time t = 0, that has been set up on a string…

Q29 · A two-source interference experiment uses the apparatus shown

Q30 · Two large parallel metal plates X and Y are situated in a vacuum as shown

Q31 · Four diagrams representing the electric field between two oppositely-charged point…

Q32 · The power output of an electrical supply is 2.4 kW at a potential difference (p.d.) of…

Q33 · Which graph shows the variation of voltage V with current I for a semiconductor diode?

Q34 · Four different resistors are arranged as shown

Q35 · A cell of constant electromotive force drives a current I through an external resistor of…

Q36 · In the circuits shown, the batteries are identical and all have negligible internal…

Q37 · A thermistor is an electrical component with a resistance that varies with temperature

Q38 · In the α-particle scattering experiment, a beam of α-particles is aimed at a thin gold…

Q39 · Radon-211, 211 Rn , francium-210, 210 Fr , and radium-212, 212 Ra , are three nuclides

Q40 · A neutron is composed of one up (u) quark and two down (d) quarks

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