Cambridge A Level Physics 9702 — 2013 May/June Paper 1 · Variant 1

1 Which pair of quantities contains one vector and one scalar quantity? A displacement; force B kinetic energy; power C acceleration; momentum D velocity; distance

Mark scheme: D

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2 One property Q of a material is used to describe the behaviour of sound waves in the material. Q is defined as the pressure P of the sound wave divided by the speed v of the wave and the surface area A of the material through which the wave travels: Q = vA P . What are the SI base units of Q? A kg m2 s–3 B kg m–3 s–1 C kg m–4 s–1 D kg m–2 s–2

Mark scheme: C

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3 A cannon fires a cannonball with an initial speed v at an angle α to the horizontal. v H α Which equation is correct for the maximum height H reached? v sinα g sinα ( v sin α ) 2 g 2 sin α A H = B H = C H = D H = 2 g 2 v 2 g 2 v Space for working

Mark scheme: C

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4 A wave has a frequency of 5 GHz. What is the period of the wave? A 20 000 µs B 20 ns C 2 ns D 200 ps

Mark scheme: D

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5 In an experiment to determine the acceleration of free fall g, the period of oscillation T and length l of a simple pendulum were measured. The uncertainty in the measurement of l is estimated to be 4%, and the uncertainty in the measurement of T is estimated to be 1%. The value of g is determined using the formula 4 π 2 l g = . T 2 What is the uncertainty in the calculated value for g ? A 2% B 3% C 5% D 6% Space for working

Mark scheme: D

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6 The Y-input terminals of a cathode-ray oscilloscope (c.r.o.) are connected to a supply of amplitude 5.0 V and frequency 50 Hz. The time-base is set at 10 ms per division and the Y-gain at 5.0 V per division. Which trace is obtained? A B C D

Mark scheme: D

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7 A body is released from rest and falls vertically in air of constant density. Which statement about the motion of the falling body is correct? A As it accelerates, its weight decreases so that its acceleration decreases until it travels with constant velocity. B It accelerates initially at 9.8 m s–2 but the drag force increases so its acceleration decreases. C Its velocity increases at a constant rate until its velocity becomes constant. D The drag force of the air increases continually and eventually the velocity decreases. Space for working

Mark scheme: B

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8 A goods train passes through a station at a steady speed of 10 m s–1. An express train is at rest at the station. The express train leaves the station with a uniform acceleration of 0.5 m s–2 just as the goods train goes past. Both trains move in the same direction on straight, parallel tracks. How much time passes before the express train overtakes the goods train? A 6 s B 10 s C 20 s D 40 s

Mark scheme: D

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9 A car is stationary at traffic lights. When the traffic lights go green, the driver presses down sharply on the accelerator. The resultant horizontal force acting on the car varies with time as shown. force 0 0 time Which graph shows the variation with time of the speed of the car? A B speed speed 0 0 0 time 0 time C D speed speed 0 0 0 time 0 time Space for working

Mark scheme: A

More questions on Momentum and Newton’s laws of motion

10 Which of the following is a statement of the principle of conservation of momentum? A In an elastic collision momentum is constant. B Momentum is the product of mass and velocity. C The force acting on a body is proportional to its rate of change of momentum. D The momentum of an isolated system is constant.

Mark scheme: D

More questions on Linear momentum and its conservation

11 A 2.0 kg mass travelling at 3.0 m s–1 on a frictionless surface collides head-on with a stationary 1.0 kg mass. The masses stick together on impact. 2.0 kg 1.0 kg 3.0 m s–1 at rest How much kinetic energy is lost on impact? A zero B 2.0 J C 2.4 J D 3.0 J

Mark scheme: D

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12 A car of mass 750 kg has a horizontal driving force of 2.0 kN acting on it. It has a forward horizontal acceleration of 2.0 m s–2. resistive force driving force What is the resistive force acting horizontally? A 0.50 kN B 1.5 kN C 2.0 kN D 3.5 kN Space for working

Mark scheme: A

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13 A small water droplet of mass 3.0 µg carries a charge of –6.0 × 10–11 C. The droplet is situated in the Earth’s gravitational field between two horizontal metal plates. The potential of the upper plate is +500 V and the potential of the lower plate is –500 V. +500 V water droplet – 2.0 mm with negative charge –500 V What is the motion of the droplet? A It accelerates downwards. B It remains stationary. C It accelerates upwards. D It moves upwards at a constant velocity.

Mark scheme: C

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14 A horizontal bar is supported on a pivot at its centre of gravity. A fixed load is attached to one end of the bar. To keep the bar in equilibrium, a force F is applied at a distance x from the pivot. x fixed load F How does F vary with x? A B C D F F F F 00 00 00 00 x x x x Space for working

Mark scheme: B

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15 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 Space for working

Mark scheme: A

More questions on Density and pressure

16 A hinged trapdoor is held closed in the horizontal position by a cable. Three forces act on the trapdoor: the weight W of the door, the tension T in the cable and the force H at the hinge. cable wall T trapdoor hinge H W Which list gives the three forces in increasing order of magnitude? A H,T,W B T,H,W C W,H,T D W,T,H Space for working

Mark scheme: C

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17 A solid rubber ball has a diameter of 8.0 cm. It is released from rest with the top of the ball 80 cm above a horizontal surface. It falls vertically and then bounces back up so that the maximum height reached by the top of the ball is 45 cm, as shown. 80 60 40 20 If the kinetic energy of the ball is 0.75 J just before it strikes the surface, what is its kinetic energy just after it leaves the surface? A 0.36 J B 0.39 J C 0.40 J D 0.42 J Space for working

Mark scheme: B

More questions on Energy conservation

18 A wind turbine has blades that sweep an area of 2000 m2. It converts the power available in the wind to electrical power with an efficiency of 50%. What is the electrical power generated if the wind speed is 10 m s–1? (The density of air is 1.3 kg m–3.) A 130 kW B 650 kW C 1300 kW D 2600 kW

Mark scheme: B

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19 The diagram shows a wheel of circumference 0.30 m. A rope is fastened at one end to a force meter. The rope passes over the wheel and supports a freely hanging load of 100 N. The wheel is driven by an electric motor at a constant rate of 50 revolutions per second. When the wheel is turning at this rate, the force meter reads 20 N. 50 rev s–1 wheel of circumference 0.30 m force meter 25 20 load 100 N N 15 10 5 0 What is the output power of the motor? A 0.3 kW B 1.2 kW C 1.8 kW D 3.8 kW Space for working

Mark scheme: B

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20 Which row correctly states the characteristics of the process of evaporation? requires occurs only ata can cause a change heat energy particular temperature of temperature A v v x B v x v Cc x v x D x x v

Mark scheme: B

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21 A bore-hole of depth 2000 m contains both oil and water as shown. The pressure due to the liquids at the bottom of the bore-hole is 17.5 MPa. The density of the oil is 830 kg m–3 and the density of the water is 1000 kg m–3. oil x 2000 m water What is the depth x of the oil? A 907 m B 1000 m C 1090 m D 1270 m Space for working

Mark scheme: D

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22 The stress-strain graphs for four different materials are shown below. Which diagram shows the stress-strain graph for a ductile metal? A B stress stress 00 00 strain strain C D stress stress 00 00 strain strain Space for working

Mark scheme: A

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23 A number of identical springs, each having the same spring constant, are joined in four arrangements. A different load is applied to each arrangement. Which arrangement has the largest extension? A B C D 6 N 8 N 2 N 1 N

Mark scheme: A

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24 A light wave of amplitude A is incident normally on a surface of area S. The power per unit area reaching the surface is P. The amplitude of the light wave is increased to 2A. The light is then focussed on to a smaller 1 S . area 3 What is the power per unit area on this smaller area? A 36P B 18P C 12P D 6P Space for working

Mark scheme: C

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25 A wave has a speed of 340 m s–1 and a period of 0.28 ms. What is its wavelength? A 0.095 m B 95 m C 1.2 × 103 m D 1.2 × 106 m

Mark scheme: A

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26 Which line in the table summarises the change in wave characteristics on going from infra-red to ultraviolet in the electromagnetic spectrum? speed in a frequency vacuum A decreases decreases B decreases remains constant C increases remains constant D increases increases

Mark scheme: C

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27 Light of wavelength 600 nm is incident on a pair of slits. Fringes with a spacing of 4.0 mm are formed on a screen. What will be the fringe spacing when the wavelength of the light is changed to 400 nm and the separation of the slits is doubled? A 1.3 mm B 3.0 mm C 5.3 mm D 12 mm Space for working

Mark scheme: A

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28 The speed of a transverse wave on a stretched string can be changed by adjusting the tension of the string. A stationary wave pattern is set up on a stretched string using an oscillator set at a frequency of 650 Hz. fixed point oscillator How must the wave be changed to maintain the same stationary wave pattern if the applied frequency is increased to 750 Hz? A Decrease the speed of the wave on the string. B Decrease the wavelength of the wave on the string. C Increase the speed of the wave on the string. D Increase the wavelength of the wave on the string.

Mark scheme: C

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29 Noise reduction headphones actively produce their own sound waves in order to cancel out external sound waves. A microphone in the headphones receives waves of one frequency. A loudspeaker in the headphones then produces a wave of that frequency but of a different phase. What is the phase difference between the external sound wave and the wave produced by the loudspeaker in the headphones? A 90° B 180° C 270° D 360° Space for working

Mark scheme: B

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30 A beam of electrons is directed into an electric field and is deflected by it. Diagram 1 represents an electric field in the plane of the paper. Diagram 2 represents an electric field directed perpendicular to the plane of the paper. The lines A, B, C and D represent possible paths of the electron beam. All paths are in the plane of the paper. Which line best represents the path of the electrons inside the field? diagram 1 diagram 2 A B C D electric field electric field in the plane perpendicular to the of the paper plane of the paper electrons electrons Space for working

Mark scheme: B

More questions on Uniform electric fields

31 Two oppositely-charged parallel plates are arranged as shown. _ + An electron is released from rest from the surface of the negatively-charged plate. The electron travels from the negatively-charged plate towards the positively-charged plate. Which graph shows how the force F on the electron varies with its distance x from the negative plate? A B C D F F F F 0 0 0 0 0 0 0 0 x x x x

Mark scheme: D

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32 A power supply of electromotive force (e.m.f.) 12 V and internal resistance 2.0 Ω is connected in series with a 13 Ω resistor. 12 V 2.0 Ω 13 Ω What is the power dissipated in the 13 Ω resistor? A 8.3 W B 9.6 W C 10 W D 11 W Space for working

Mark scheme: A

More questions on Potential difference and power

33 When a battery is connected to a resistor, the battery gradually becomes warm. This causes the internal resistance of the battery to increase whilst its e.m.f. stays unchanged. As the internal resistance of the battery increases, how do the terminal potential difference and the output power change, if at all? terminal potential output power difference A decrease decrease B decrease unchanged C unchanged decrease D unchanged unchanged

Mark scheme: A

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34 The principles of conservation of which two quantities are associated with Kirchhoff’s first and second laws? first law second law A charge energy B charge voltage C energy charge D voltage charge Space for working

Mark scheme: A

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35 A circuit is set up as shown, supplied by a 3 V battery. All resistances are 1 kΩ. 3 V V What will be the reading on the voltmeter? A 0 B 0.5 V C 1.0 V D 1.5 V

Mark scheme: B

More questions on Potential dividers

36 The diagram shows an incorrectly connected circuit. The ammeter has a resistance of 0.1 Ω and the voltmeter has a resistance of 1 MΩ. 0.1 Ω A 1 MΩ 1 kΩ V 2 V Which statement is correct? A The ammeter reads 2 mA. B The ammeter reads 20 A. C The voltmeter reads zero. D The voltmeter reads 2 V. Space for working

Mark scheme: D

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37 A 12 V battery is in series with an ammeter, a 2 Ω fixed resistor and a 0 – 10 Ω variable resistor. A high-resistance voltmeter is connected across the variable resistor. 12 V A 2 Ω 0 – 10 Ω V The resistance of the variable resistor is changed from zero to its maximum value. Which graph shows how the potential difference (p.d.) measured by the voltmeter varies with the current measured by the ammeter? A B C D p.d. p.d. p.d. p.d. 00 00 00 00 current current current current

Mark scheme: D

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38 A nickel nucleus 59 Ni can be transformed by a process termed K-capture. In this process the 28 nucleus absorbs an orbital electron. If no other process is involved, what is the resulting nucleus? A 58 Ni B 58 Co C 59 Co D 59 Cu 28 27 27 29 Space for working

Mark scheme: C

More questions on Atoms, nuclei and radiation

39 It was once thought that the mass of an atom is spread uniformly through the volume of the atom. When α-particles are directed at a piece of gold foil, the results led scientists to believe instead that nearly all the mass of the gold atom is concentrated at a point inside the atom. Which effect is possible only if nearly all the mass of the gold atom is concentrated at a point? A a few α-particles bounce back B most α-particles are only slightly deflected C some α-particles pass through without any deflection D some α-particles are absorbed

Mark scheme: A

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40 Which pair of nuclei are isotopes of one another? nucleon number of number neutrons A 186 112 180 118 B 186 112 182 108 C 184 110 187 110 D 186 110 186 112 Space for working

Mark scheme: B

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