Cambridge A Level Physics 9702 — 2014 May/June Paper 1 · Variant 2

Question 1

1 The maximum theoretical power P of a wind turbine is given by the equation P = kρAv n where ρ is the density of air, A is the area swept by the turbine blades, v is the speed of the air and k is a constant with no units. What is the value of n ? A 1 B 2 C 3 D 4

Accepted Answer

C

Question 2

2 What is the unit of resistance when expressed in SI base units? A kg m2 s–2 A–1 B kg m2 s–3 A–2 C kg m s–2 A–1 D kg m s–3 A–1 Space for working

Accepted Answer

B

Question 3

3 A cathode-ray oscilloscope (c.r.o.) is connected to an alternating voltage. The following trace is produced on the screen. 1 cm 1 cm The oscilloscope time-base setting is 0.5 ms cm–1 and the Y-plate sensitivity is 2 V cm–1. Which statement about the alternating voltage is correct? A The amplitude is 3.5 cm. B The frequency is 0.5 kHz. C The period is 1 ms. D The wavelength is 4 cm. Space for working

Accepted Answer

B

Question 4

4 A quantity y is to be determined from the equation shown. px y = q 2 The percentage uncertainties in p, x and q are shown. percentage uncertainty p 6% x 2% q 4% What is the percentage uncertainty in y? A 0.5 % B 1 % C 16 % D 192 %

Accepted Answer

C

Question 5

5 A thermometer can be read to an accuracy of ± 0.5 °C. This thermometer is used to measure a temperature rise from 40 °C to 100 °C. What is the percentage uncertainty in the measurement of the temperature rise? A 0.5 % B 0.8 % C 1.3 % D 1.7 % Space for working

Accepted Answer

D

Question 6

6 A radio-controlled toy car travels along a straight line for a time of 15 s. The variation with time t of the velocity v of the car is shown below. 6.0 v / m s–1 3.0 0 0 5 10 15 t / s –3.0 –6.0 What is the average velocity of the toy car for the journey shown by the graph? A –1.5 m s–1 B 0.0 m s–1 C 4.0 m s–1 D 4.5 m s–1

Accepted Answer

B

Question 7

7 Two train carriages each of mass 5000 kg roll toward one another on a level track. One is travelling at 2.00 m s–1 and the other at 1.00 m s–1, as shown. 2.00 m s–1 1.00 m s–1 5000 kg 5000 kg They collide and join together. What is the kinetic energy lost during the collision? A 1250 J B 7500 J C 11 250 J D 12 500 J Space for working

Accepted Answer

C

Question 8

8 A resultant force causes a body to accelerate. What is equal to the resultant force? A the acceleration of the body per unit mass B the change in kinetic energy of the body per unit time C the change in momentum of the body per unit time D the change in velocity of the body per unit time

Accepted Answer

C

Question 9

9 A ship of mass 8.4 × 107 kg is approaching a harbour with speed 16.4 m s–1. By using reverse thrust it can maintain a constant total stopping force of 920 000 N. How long will it take to stop? A 15 seconds B 150 seconds C 25 minutes D 250 minutes

Accepted Answer

C

Question 10

10 A tractor of mass 1000 kg is connected by a tow-bar to a trailer of mass 1000 kg. The total resistance to motion has a constant value of 4000 N. One quarter of this resistance acts on the trailer. When the tractor and trailer are moving along horizontal ground at a constant speed of 6 m s–1, what is the force exerted on the tractor by the tow-bar? A 0 N B 1000 N C 3000 N D 4000 N Space for working

Accepted Answer

B

Question 11

11 The graph shows the variation with time of the speed of a raindrop falling vertically through air. speed 0 0 time Which statement is correct? A The acceleration decreases to produce a steady speed. B The acceleration increases as the speed increases. C The air resistance decreases as the speed increases. D The resultant force increases as the speed increases.

Accepted Answer

A

Question 12

12 A tiny oil droplet with mass 6.9 × 10–13 kg is at rest in an electric field of electric field strength 2.1 × 107 N C–1, as shown. horizontal plate oil droplet The weight of the droplet is exactly balanced by the electrical force on the droplet. What is the charge on the droplet? A 3.3 × 10–20 C B –3.3 × 10–20 C C 3.2 × 10–19 C D –3.2 × 10–19 C Space for working

Accepted Answer

D

Question 13

13 The diagram shows four forces applied to a circular object. 45 N 30 N 30 N 45 N Which of the following describes the resultant force and resultant torque on the object? resultant force resultant torque A non-zero non-zero B non-zero zero C zero non-zero D zero zero Space for working

Accepted Answer

A

Question 14

14 A mass at point X inside a uniform gravitational field experiences a gravitational force of 0.200 N. It has 1.00 J of gravitational potential energy. 30 cm X uniform 50 cm gravitational field Y The mass is then moved to point Y. What is its new gravitational potential energy? A 0.90 J B 0.94 J C 1.06 J D 1.10 J Space for working

Accepted Answer

C

Question 15

15 A small mass is placed at point P on the inside surface of a smooth hemisphere. It is then released from rest. When it reaches the lowest point T, its speed is 4.0 m s–1. The diagram (not to scale) shows the speed of the mass at other points Q, R and S as it slides down. Air resistance is negligible. P 1.0 m s–1 Q not to smooth 2.0 m s–1 scale hemisphere R 3.0 m s–1 S 4.0 m s–1 T The mass loses potential energy E in falling from P to T. E ? At which point has the mass lost potential energy 4 A Q B R C S D none of these Space for working

Accepted Answer

B

Question 16

16 An escalator is 60 m long and lifts passengers through a vertical height of 30 m, as shown. 30 m 60 m To drive the escalator against the forces of friction when there are no passengers requires a power of 2.0 kW. The escalator is used by passengers of average mass 60 kg and the power to overcome friction remains constant. How much power is required to drive the escalator when it is carrying 20 passengers and is travelling at 0.75 m s–1? A 4.4 kW B 6.4 kW C 8.8 kW D 10.8 kW

Accepted Answer

B

Question 17

17 If the Universe was such that the speed of the molecules in a substance increased with temperature but at any particular temperature the speed of all the molecules in a substance was the same, which process would not occur? A boiling B condensation C evaporation D melting Space for working

Accepted Answer

C

Question 18

18 Liquid Q has twice the density of liquid R. At depth x in liquid R, the pressure due to the liquid is 4 kPa. At what depth in liquid Q is the pressure due to the liquid 7 kPa? A 2x B 7x C 8x D 7x 7 8 7 2

Accepted Answer

B

Question 19

19 A sample of metal is subjected to a force which increases to a maximum value and then decreases back to zero. A force-extension graph for the sample is shown. force Y X 0 0 extension When the sample contracts it follows the same force-extension curve as when it was being stretched. What is the behaviour of the metal between X and Y? A both elastic and plastic B not elastic and not plastic C plastic but not elastic D elastic but not plastic Space for working

Accepted Answer

D

Question 20

20 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? A 8.0 N m–1 B 2.7 N m–1 C 0.13 N m–1 D 0.080 N m–1 Space for working

Accepted Answer

A

Question 21

21 A composite rod is made by attaching a glass-reinforced plastic rod and a nylon rod end to end, as shown. 1.00 m 1.00 m glass-reinforced plastic nylon Ep = 40 GPa En = 2.0 GPa The rods have the same cross-sectional area and each rod is 1.00 m in length. The Young modulus Ep of the plastic is 40 GPa and the Young modulus En of the nylon is 2.0 GPa. The composite rod will break when its total extension reaches 3.0 mm. What is the greatest tensile stress that can be applied to the composite rod before it breaks? A 7.1 × 10–14 Pa B 7.1 × 10–2 Pa C 5.7 × 106 Pa D 5.7 × 109 Pa Space for working

Accepted Answer

C

Question 22

22 What, to two significant figures, are the period, the frequency and the amplitude of the wave represented by the graph? 10 displacement / mm 0 time / ms 0 2 4 6 8 10 12 –10 period frequency amplitude / s / Hz / m A 0.0027 370 0.0067 B 0.0031 320 0.013 C 0.0035 290 0.0067 D 0.0042 240 0.013 Space for working

Accepted Answer

C

Question 23

23 A sound wave consists of a series of moving pressure variations from the normal, constant air pressure. The graph shows these pressure variations for two waves at one instant in time. pressure variation wave 2 / 10–2 Pa wave 1 3.0 2.0 1.0 0 distance 0 1.0 2.0 3.0 / m –1.0 –2.0 –3.0 Wave 1 has an intensity of 1.6 × 10–6 W m–2. What is the intensity of wave 2? A 2.4 × 10–6 W m–2 B 3.0 × 10–6 W m–2 C 3.6 × 10–6 W m–2 D 4.5 × 10–6 W m–2 Space for working

Accepted Answer

C

Question 24

24 The diagram shows a vertical cross-section through a water wave moving from left to right. At which point is the water moving upwards with maximum speed? B A C D

Accepted Answer

C

Question 25

25 The principle of superposition states that a certain quantity is added when two or more waves meet at a point. What is this quantity? A amplitude B displacement C intensity D wavelength Space for working

Accepted Answer

B

Question 26

26 Light passes through a diffraction grating ruled at 1000 lines per cm and the same wavelength of light also passes through two narrow slits 0.5 mm apart. Both situations produce intensity maxima and minima on a screen. Which statement about the separation of the maxima on the screen and the sharpness of the maxima is correct? A The diffraction grating maxima are less widely spaced and are less sharp than the two-slit maxima. B The diffraction grating maxima are less widely spaced and are sharper than the two-slit maxima. C The diffraction grating maxima are more widely spaced and are less sharp than the two-slit maxima. D The diffraction grating maxima are more widely spaced and are sharper than the two-slit maxima. Space for working

Accepted Answer

D

Question 27

27 The diagram shows an experiment which has been set up to demonstrate two-source interference. Microwaves of wavelength λ pass through two slits S1 and S2. X S1 O S2 microwave microwave transmitter metal plate detector with two slits The detector is moved from point O in the direction of the arrow. The signal detected decreases until the detector reaches point X, and then starts to increase again as the detector moves beyond X. Which equation correctly determines the position of X? A OX = λ B OX = λ / 2 C S2X – S1X = λ D S2X – S1X = λ / 2 Space for working

Accepted Answer

D

Question 28

28 Two positive charges and one negative charge, all of equal magnitude, are set at the corners of an equilateral triangle. Which diagram best represents the electric field surrounding the charges? A B – – + + + + C D – – + + + + Space for working

Accepted Answer

A

Question 29

29 Two oppositely-charged horizontal metal plates are placed in a vacuum. A positively-charged particle starts from rest and moves from one plate to the other plate, as shown. – + + Which graph shows how the kinetic energy EK of the particle varies with the distance x moved from the positive plate? A B C D EK EK EK EK 00 00 00 00 x x x x Space for working

Accepted Answer

D

Question 30

30 A battery of electromotive force (e.m.f.) V and negligible internal resistance is connected to a 1 kΩ resistor, as shown. 1 kΩ P V Q A student attempts to measure the potential difference (p.d.) between points P and Q using two voltmeters, one at a time. The first voltmeter has a resistance of 1 kΩ and the second voltmeter has a resistance of 1 MΩ. What are the readings of the voltmeters? reading on voltmeter reading on voltmeter with 1 kΩ resistance with 1 MΩ resistance V V A 2 2 V B V 2 V C V 2 D V V

Accepted Answer

B

Question 31

31 A copper wire is to be replaced by an aluminium alloy wire of the same length and resistance. Copper has half the resistivity of the alloy. diameter of alloy wire What is the ratio ? diameter of copper wire A 2 B 2 C 2 2 D 4 Space for working

Accepted Answer

A

Question 32

32 The diagram shows an electric pump for a garden fountain connected by an 18 m cable to a 230 V mains electrical supply. 230 V M pump mains 18 m The performance of the pump is acceptable if the potential difference (p.d.) across it is at least 218 V. The current through it is then 0.83 A. What is the maximum resistance per metre of each of the two wires in the cable if the pump is to perform acceptably? A 0.40 Ω m–1 B 0.80 Ω m–1 C 1.3 Ω m–1 D 1.4 Ω m–1

Accepted Answer

A

Question 33

33 Cell X has an e.m.f. of 2.0 V and an internal resistance of 2.0 Ω. Cell Y has an e.m.f. of 1.6 V and an internal resistance of 1.2 Ω. These two cells are connected to a resistor of resistance 0.8 Ω, as shown. cell X 2.0 V 2.0 Ω 0.8 Ω 1.6 V 1.2 Ω cell Y What is the current in cell X? A 0.10 A B 0.50 A C 0.90 A D 1.0 A Space for working

Accepted Answer

A

Question 34

34 In the circuit shown, a light-dependent resistor (LDR) is connected to two resistors R1 and R2. The potential difference (p.d.) across R1 is V1 and the p.d. across R2 is V2. The current in the circuit is I. I R1 V1 R2 V2 Which statement about this circuit is correct? A The current I increases when the light intensity decreases. B The LDR is an ohmic conductor. C The p.d. V2 increases when the light intensity decreases. V  is independent of light intensity. D The ratio 1 V 2 Space for working

Accepted Answer

D

Question 35

35 A power supply and a solar cell are compared using the potentiometer circuit shown. power supply 2.000 V + – R S P Q 40.0 cm galvanometer solar cell The e.m.f. produced by the solar cell is measured on the potentiometer. The potentiometer wire PQ is 100.0 cm long and has a resistance of 5.00 Ω. The power supply has an e.m.f. of 2.000 V and the solar cell has an e.m.f. of 5.00 mV. Which resistance R must be used so that the galvanometer reads zero when PS = 40.0 cm? A 395 Ω B 795 Ω C 995 Ω D 1055 Ω Space for working

Accepted Answer

B

Question 36

36 In the circuit shown, all the resistors are identical. V1 V4 V2 V3 The reading on voltmeter V1 is 8.0 V and the reading on voltmeter V2 is 1.0 V. What are the readings on the other voltmeters? reading on reading on voltmeter V3 / V voltmeter V4 / V A 1.5 1.0 B 3.0 2.0 C 4.5 3.0 D 6.0 4.0 Space for working

Accepted Answer

B

Question 37

37 The diagram shows a light-dependent resistor (LDR) and a thermistor forming a potential divider. + – Under which set of conditions will the potential difference across the thermistor have the greatest value? illumination temperature A low low B high low C low high D high high

Accepted Answer

B

Question 38

38 A nucleus X decays into a nucleus Y by emitting an alpha particle followed by two beta particles. Which statement about this nuclear decay is correct? A Beta particle decay occurs when a proton changes into a neutron. B Nucleus Y has the same nucleon number as nucleus X. C Nucleus Y is an isotope of nucleus X. D The total mass of the products is equal to the mass of the initial nucleus X. Space for working

Accepted Answer

C

Question 39

39 A slow-moving neutron collides with a nucleus of uranium-235. This results in a nuclear reaction that is represented by the following nuclear equation 235 U +  n 1 0   → 154 Nd + 80 Ge +  x 92 60 32 where x represents one or more particles. What does x represent? A one neutron B two electrons C two neutrons D two protons

Accepted Answer

C

Question 40

40 The first artificial radioactive substance was made by bombarding aluminium, 27 A l , with 13 α-particles. This produced an unstable isotope of phosphorus, 30 P . 15 What was the by-product of this reaction? A an α-particle B a β-particle C a neutron D a proton Space for working

Accepted Answer

C

Question paper32 pages

Mark scheme2 pages

Questions as text

Q1 · The maximum theoretical power P of a wind turbine is given by the equation P = kρAv n…

Q2 · What is the unit of resistance when expressed in SI base units?

Q3 · A cathode-ray oscilloscope (c.r.o.) is connected to an alternating voltage

Q4 · A quantity y is to be determined from the equation shown

Q5 · A thermometer can be read to an accuracy of ± 0.5 °C

Q6 · A radio-controlled toy car travels along a straight line for a time of 15 s

Q7 · Two train carriages each of mass 5000 kg roll toward one another on a level track

Q8 · A resultant force causes a body to accelerate

Q9 · A ship of mass 8.4 × 107 kg is approaching a harbour with speed 16.4 m s–1

Q10 · A tractor of mass 1000 kg is connected by a tow-bar to a trailer of mass 1000 kg

Q11 · The graph shows the variation with time of the speed of a raindrop falling vertically…

Q12 · A tiny oil droplet with mass 6.9 × 10–13 kg is at rest in an electric field of electric…

Q13 · The diagram shows four forces applied to a circular object

Q14 · A mass at point X inside a uniform gravitational field experiences a gravitational force…

Q15 · A small mass is placed at point P on the inside surface of a smooth hemisphere

Q16 · An escalator is 60 m long and lifts passengers through a vertical height of 30 m, as shown

Q17 · If the Universe was such that the speed of the molecules in a substance increased with…

Q18 · Liquid Q has twice the density of liquid R

Q19 · A sample of metal is subjected to a force which increases to a maximum value and then…

Q20 · The graph shows the length of a spring as it is stretched by an increasing load

Q21 · A composite rod is made by attaching a glass-reinforced plastic rod and a nylon rod end…

Q22 · What, to two significant figures, are the period, the frequency and the amplitude of the…

Q23 · A sound wave consists of a series of moving pressure variations from the normal, constant…

Q24 · The diagram shows a vertical cross-section through a water wave moving from left to right

Q25 · The principle of superposition states that a certain quantity is added when two or more…

Q26 · Light passes through a diffraction grating ruled at 1000 lines per cm and the same…

Q27 · The diagram shows an experiment which has been set up to demonstrate two-source…

Q28 · Two positive charges and one negative charge, all of equal magnitude, are set at the…

Q29 · Two oppositely-charged horizontal metal plates are placed in a vacuum

Q30 · A battery of electromotive force (e.m.f.) V and negligible internal resistance is…

Q31 · A copper wire is to be replaced by an aluminium alloy wire of the same length and…

Q32 · The diagram shows an electric pump for a garden fountain connected by an 18 m cable to a…

Q33 · Cell X has an e.m.f

Q34 · In the circuit shown, a light-dependent resistor (LDR) is connected to two resistors R1…

Q35 · A power supply and a solar cell are compared using the potentiometer circuit shown

Q36 · In the circuit shown, all the resistors are identical

Q37 · The diagram shows a light-dependent resistor (LDR) and a thermistor forming a potential…

Q38 · A nucleus X decays into a nucleus Y by emitting an alpha particle followed by two beta…

Q39 · A slow-moving neutron collides with a nucleus of uranium-235

Q40 · The first artificial radioactive substance was made by bombarding aluminium, 27 A l…

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