Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level

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1 * * ambridge International Examinations ambridge International dvanced Subsidiary and dvanced Level PHYSIS 972/12 Paper 1 Multiple hoice October/November 214 dditional Materials: Multiple hoice nswer Sheet Soft clean eraser Soft pencil (type or H is recommended) 1 hour RE THESE INSTRUTIONS FIRST Write in soft pencil. o not use staples, paper clips, glue or correction fluid. Write your name, entre number and candidate number on the nswer Sheet in the spaces provided unless this has been done for you. O NOT WRITE IN NY ROES. There are forty questions on this paper. nswer all questions. For each question there are four possible answers,, and. hoose the one you consider correct and record your choice in soft pencil on the separate nswer Sheet. Read the instructions on the nswer Sheet very carefully. Each correct answer will score one mark. mark will not be deducted for a wrong answer. ny working should be done in this booklet. Electronic calculators may be used. This document consists of 26 printed pages and 2 blank pages. I14 11_972_12/FP ULES 214 [Turn over

2 2 ata speed of light in free space, c = m s 1 permeability of free space, µ = 4π 1 7 H m 1 permittivity of free space, ε = F m 1 1 ( = m F 1 ) 4πε elementary charge, the Planck constant, unified atomic mass constant, rest mass of electron, rest mass of proton, e = h = J s u = kg m e = kg m p = kg molar gas constant, R = 8.31 J K 1 mol 1 the vogadro constant, N = mol 1 the oltzmann constant, k = J K 1 gravitational constant, G = N m 2 kg 2 acceleration of free fall, g = 9.81 m s 2 ULES /12/O/N/14

3 3 Formulae 2 uniformly accelerated motion, s = ut + 1 at 2 v 2 = u 2 + 2as work done on/by a gas, W = p V gravitational potential, φ = Gm r hydrostatic pressure, p = ρ gh pressure of an ideal gas, p = 1 Nm <c 2 > 3 V simple harmonic motion, velocity of particle in s.h.m., a = ω 2 x v = v cos ωt 2 2 x v = ± ω ( x ) electric potential, V = Q 4πε r capacitors in series, 1 / = 1 / / capacitors in parallel, = energy of charged capacitor, 1 W = QV 2 resistors in series, R = R 1 + R resistors in parallel, 1 / R = 1 / R / R alternating current/voltage, x = x sin ωt radioactive decay, x = x exp( λt) decay constant, λ =.693 t 1 2 ULES /12/O/N/14 [Turn over

4 4 1.1 kg mass is taken to Mars and then weighed on a spring balance and on a lever balance. The acceleration due to gravity on Mars is 38% of its value on Earth. What are the readings on the two balances on Mars? (ssume that on Earth g = 1 m s 2.) spring balance / N lever balance / kg What is equivalent to the unit of electric field strength? J m 1 N s 1 kg m s 3 1 kg m 3 s The diagram shows the reading on an analogue ammeter. 5 1 milliamperes (m) 15 Which digital ammeter reading is the same as the reading on the analogue ammeter? display units display reading µ 16 µ 16 m ULES /12/O/N/14

5 4 steel wire is stretched in an experiment to determine the Young modulus for steel. The uncertainties in the measurements are given below. 5 measurement uncertainty load on wire ±2% length of wire ±.2% diameter of wire ±1.5% extension ±1% What is the percentage uncertainty in the Young modulus? 1.3% 1.8% 4.7% 6.2% 5 The acceleration of free fall on the Moon is one-sixth of that on Earth. On Earth it takes time t for a stone to fall from rest a distance of 2 m. What is the time taken for a stone to fall from rest a distance of 2 m on the Moon? 6t t 6 t 6 t 6 ULES /12/O/N/14 [Turn over

6 6 6 Which graph represents the motion of a car that is travelling along a straight road with a speed that increases uniformly with time? acceleration acceleration time time displacement displacement time time 7 What is the principle of conservation of momentum? Force is equal to the rate of change of momentum. Momentum is the product of mass and velocity. The total momentum of a system remains constant provided no external force acts on it. The total momentum of two bodies after collision is equal to their total momentum before collision. 8 Water is pumped through a hose-pipe at a rate of 9 kg per minute. It emerges from the hose-pipe horizontally with a speed of 2 m s 1. Which force is required from a person holding the hose-pipe to prevent it moving backwards? 3 N 27 N 18 N 1 8 N ULES /12/O/N/14

7 7 9 Two railway trucks of masses m and 3m move towards each other in opposite directions with speeds 2v and v respectively. These trucks collide and stick together. What is the speed of the trucks after the collision? v 4 v 2 v 5v 4 1 glider is descending at constant speed at an angle of 15 to the horizontal. The diagram shows the directions of the lift L, air resistance R and weight W acting on the glider. L 15 R Which vector triangle could represent the forces acting on the glider? W ULES /12/O/N/14 [Turn over

8 8 11 ball is falling at terminal speed in still air. The forces acting on the ball are upthrust, viscous drag and weight. What is the order of increasing magnitude of these three forces? upthrust viscous drag weight viscous drag upthrust weight viscous drag weight upthrust weight upthrust viscous drag ULES /12/O/N/14

9 9 12 uniform ladder rests against a vertical wall where there is negligible friction. The bottom of the ladder rests on rough ground where there is friction. The top of the ladder is at a height h above the ground and the foot of the ladder is at a distance 2a from the wall. The diagram shows the forces that act on the ladder. F ladder h W W F a a Which equation is formed by taking moments? W a + F h = 2W a F a + W a = F h W a + 2W a = F h W a 2W a = 2F h ULES /12/O/N/14 [Turn over

10 13 mass attached to the lower end of a spring bounces up and down. 1 t which points in the path of the mass do the gravitational potential energy of the mass (GPE), the elastic potential energy in the spring (EPE) and the kinetic energy of the mass (KE) have their highest values? GPE EPE KE bottom middle top bottom top middle top bottom middle top bottom top 14 mass m is situated in a uniform gravitational field. P x Q gravitational field lines When the mass moves through a displacement x, from P to Q, it loses an amount of potential energy E. Which row correctly specifies the magnitude and the direction of the acceleration due to gravity in this field? magnitude E mx E mx E x E x direction ULES /12/O/N/14

11 11 15 small electric motor is mounted on a bench, as shown. The motor is connected to a 6. V supply and the current in the motor is.5. The motor is 5% efficient. motor 2 g What is the time taken to lift a mass of 2 g up through a height of 9 cm?.59 s.85 s 1.2 s 2.7 s 16 projectile is launched at 45 to the horizontal with initial kinetic energy E. ssuming air resistance to be negligible, what will be the kinetic energy of the projectile when it reaches its highest point?.5 E.71 E.87 E E 17 What is the correct name for a material containing long-chain molecules that are tangled and coiled? amorphous metal amorphous polymer crystalline metal crystalline polymer ULES /12/O/N/14 [Turn over

12 12 18 Which statement about molecules in a gas is correct? In rownian motion experiments, the molecules can be seen moving randomly in all directions. The pressure exerted by a gas is caused by molecules bouncing against each other and changing kinetic energy. The pressure exerted by a gas is caused by molecules rebounding from the walls of a container and changing momentum. When the average speed of the molecules in a closed container increases, the density must also increase. 19 The diagram shows the atoms of a substance with the atoms at the corners of a cube. The average separation of the atoms at a particular temperature is 15 nm. 15 nm When the temperature changes so that the average separation becomes 17 nm, by which factor will the density of the substance change? ULES /12/O/N/14

13 2 The stress-strain graph for a glass rod, up to the point at which it breaks, is shown below. 13 stress strain Which statement about the glass rod is correct? Hooke s law is obeyed for all values of stress up to the breaking point. The glass is ductile. The glass shows plastic deformation. When the cross-sectional area of the rod is doubled, the ultimate tensile stress of the rod is halved. 21 rubber band is stretched by hanging weights on it and the force-extension graph is plotted from the results. force / N extension / cm What is the best estimate of the strain energy stored in the rubber band when it is extended 3 cm? 1.8 J 2.6 J 5.1 J 2 J ULES /12/O/N/14 [Turn over

14 14 22 Which statement about electromagnetic radiation is correct? Waves of wavelength m are high-energy gamma rays. Waves of wavelength m are ultra-violet waves. Waves of wavelength m are infra-red waves. Waves of wavelength m are light waves. 23 When sound travels through air, the air particles vibrate. graph of displacement against time for a single air particle is shown. displacement T 2T time Which graph best shows how the kinetic energy of the air particle varies with time? kinetic energy kinetic energy T 2T time T 2T time kinetic energy kinetic energy T 2T time T 2T time ULES /12/O/N/14

15 24 Which statement describes a situation when polarisation could not occur? 15 Light waves are reflected. Light waves are scattered. Microwaves pass through a metal grid. Sound waves pass through a metal grid. 25 stationary sound wave is produced in a tube. Which statement describes the wave speed? It is the distance between two adjacent nodes divided by the period of the wave. It is the speed at which energy is transferred from one antinode to an adjacent antinode. It is the speed of a particle at an antinode. It is the speed of one of the progressive waves that are producing the stationary wave. ULES /12/O/N/14 [Turn over

16 26 Two identical loudspeakers are connected in series to an a.c. supply, as shown. 16 X Which graph best shows the variation of the intensity of the sound with distance along the line XY? Y intensity intensity X Y distance X Y distance intensity intensity X Y distance X Y distance ULES /12/O/N/14

17 17 27 diffraction grating experiment is set up using yellow light of wavelength 6 nm. The grating has a slit separation of 2. µm. 2nd order yellow θ 1 θ 2 1st order yellow light of wavelength 6 nm grating What is the angular separation (θ 2 θ 1) between the first and second order maxima of the yellow light? ULES /12/O/N/14 [Turn over

18 18 28 The diagram shows two parallel horizontal metal plates. There is a potential difference V between the plates. liquid drop +V small charged liquid drop, midway between the plates, is held in equilibrium by the combination of its weight and the electric force acting on it. The acceleration of free fall is g and the electric field strength is E. What is the polarity of the charge on the drop, and the ratio of charge to mass of the drop? polarity negative negative positive positive charge mass E g g E E g g E ULES /12/O/N/14

19 29 The diagram shows two metal plates connected to a constant high voltage. 19 d Which graph shows the variation of the electric field strength E midway between the two plates as the distance d between the two plates is increased? E E E E d d d d ULES /12/O/N/14 [Turn over

20 2 3 1, 2 and 3 are three identical lamps. They are connected to a battery with zero internal resistance, as shown. 1 switch 3 2 Initially the switch is closed. The switch is then opened and lamp 3 goes out. What happens to the brightness of lamps 1 and 2 when the switch is opened? brightness of lamp 1 brightness of lamp 2 decreases decreases decreases increases increases decreases increases increases 31 battery is marked 9. V. What does this mean? Each coulomb of charge from the battery supplies 9. J of electrical energy to the whole circuit. The battery supplies 9. J to an external circuit for each coulomb of charge. The potential difference across any component connected to the battery will be 9. V. There will always be 9. V across the battery terminals. ULES /12/O/N/14

21 21 32 pencil is used to draw a line of length 3 cm and width 1.2 mm. The resistivity of the material in the pencil is Ω m and the resistance of the line is 4 kω. What is the thickness of the line? m m m m ULES /12/O/N/14 [Turn over

22 22 33 conductor consists of three wires connected in series. The wires are all made of the same metal but have different cross-sectional areas. There is a current I in the conductor. I X conductor Y I Point Y on the conductor is at zero potential. Which graph best shows the variation of potential V with distance along the conductor? V V X Y distance V X Y distance V X Y distance X Y distance ULES /12/O/N/14

23 23 34 The graph shows how the electric current I through a conducting liquid varies with the potential difference V across it. t which point on the graph does the liquid have the smallest resistance? I V 35 The combined resistance R T of two resistors of resistances R 1 and R 2 connected in parallel is given by the formula shown. 1 R = 1 R R2 T Which statement is used in the derivation of this formula? The currents through the two resistors are equal. The potential difference across each resistor is the same. The supply current is split between the two resistors in the same ratio as the ratio of their resistances. The total power dissipated is the sum of the powers dissipated in the two resistors separately. ULES /12/O/N/14 [Turn over

24 36 In the potentiometer circuit shown, the reading on the ammeter is zero. 24 sliding contact uniform metal wire The light-dependent resistor (LR) is then covered up and the ammeter gives a non-zero reading. Which change could return the ammeter reading to zero? ecrease the supply voltage. Increase the supply voltage. Move the sliding contact to the left. Move the sliding contact to the right. ULES /12/O/N/14

25 25 37 Six resistors, each of resistance R, are connected as shown. The combined resistance is 66 kω. What is the value of R? 11 kω 18 kω 22 kω 36 kω 38 Which statement about α-particles is correct? α-particles emitted from a single radioactive isotope have a continuous distribution of energies. α-particles have less ionising power than β-particles. The charge of an α-particle is The speeds of α-particles can be as high as m s 1. ULES /12/O/N/14 [Turn over

26 The isotope 86 Rn decays in a sequence of emissions to form the isotope 82 Pb. t each stage of the decay sequence, it emits either an α-particle or a β-particle. What is the number of stages in the decay sequence? What is the approximate mass of a nucleus of uranium? 1 15 kg 1 2 kg 1 25 kg 1 3 kg ULES /12/O/N/14

27 27 LNK PGE ULES /12/O/N/14

28 28 LNK PGE Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (ULES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. ambridge International Examinations is part of the ambridge ssessment Group. ambridge ssessment is the brand name of University of ambridge Local Examinations Syndicate (ULES), which is itself a department of the University of ambridge. ULES /12/O/N/14

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