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 972/13 Paper 1 Multiple hoice May/June 217 dditional Materials: Multiple hoice nswer Sheet Soft clean eraser Soft pencil (type or H is recommended) 1 hour 15 minutes 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 19 printed pages and 1 blank page. I17 6_972_13/3RP ULES 217 [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 unit rest mass of electron rest mass of proton e = h = J s 1 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 /13/M/J/17

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 ) oppler effect f = o electric potential V = fsv v ± v s Q 4πε r capacitors in series 1 / = 1 / / capacitors in parallel = energy of charged capacitor electric current 1 W = QV 2 I = nvq resistors in series R = R 1 + R resistors in parallel 1 / R = 1 / R / R Hall voltage alternating current/voltage I V H = ntq x = x sin ωt radioactive decay x = x exp( λt) decay constant λ =.693 t 1 2 ULES /13/M/J/17 [Turn over

4 1 What is the best estimate of the kinetic energy of a family car travelling at 5 km h 1? J J J J 4 2 The diagram shows two vectors X and Y. The vectors are perpendicular to one another. X = 8. N Y = 6. N What is the magnitude and direction of vector (X Y)? 1. N at an angle of 37 downwards from the direction of X 1. N at an angle of 37 upwards from the direction of X 14. N at an angle of 53 downwards from the direction of X 14. N at an angle of 53 upwards from the direction of X 3 Which expression using SI base units is equivalent to the volt? kg m 2 s 1 1 kg m s 2 kg m 2 s 1 kg m 2 s voltage is carefully measured with a high-quality instrument and found to be V. Two students, using two different methods, conclude that the voltage is 2.33 V and V respectively. Which statement is correct? 2.33 V is less accurate and less precise than V V is less accurate and more precise than V V is more accurate and less precise than V V is more accurate and more precise than V. ULES /13/M/J/17

5 5 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 17 m. The planet does not have an atmosphere. What is the acceleration of free fall on this planet? 2.2 m s m s 2 27 m s 2 54 m s 2 6 displacement-time graph for a toy car is shown. 2 displacement / m time / s 1 2 Which graph shows the variation with time of the velocity v of the car? 2 v / m s 1 2 v / m s time / s time / s v / m s 1 2 v / m s time / s time / s ULES /13/M/J/17 [Turn over

6 6 7 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 t time Which graph shows how the speed of the car will vary during this time? speed speed t t time time speed speed t t time time ULES /13/M/J/17

7 7 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 quantity x Which quantities could x and y represent? x y air resistance acceleration loss of height gain in kinetic energy loss of potential energy work done against air resistance time velocity 9 ball of mass 2. kg travels horizontally with a speed of 4. 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 15 ms. What is the average force exerted on the wall? 16 N 37 N 53 N 91 N 1 n ice-hockey puck of mass 15 g moves with an initial speed of 2. m s 1 along the surface of an ice rink. The puck slides a distance of 3 m in a straight line before stopping. What is the average frictional force acting on the puck?.1 N.2 N.67 N.44 N ULES /13/M/J/17 [Turn over

8 8 11 uniform beam of mass 1.4 kg is pivoted at P as shown. The beam has a length of.6 m and P is.2 m from one end. Loads of 3. kg and 6. kg are suspended.35 m and.15 m from the pivot as shown..4 m.35 m.2 m.15 m 3. kg P 6. 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?.1 N m.1 N m.29 N m 2.8 N m 12 n air bubble is rising through a liquid at a constant speed. The forces on it are the upthrust U, the viscous drag and its weight W. Which diagram shows the directions and relative sizes of the forces? U U U U W W W W ULES /13/M/J/17

9 9 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. P water surface 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? P < R and S = Q P > R and S = Q P = R and S = Q and P < S P = R and S = Q and P = S 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 a girl dives from a diving board into a swimming pool a man pushes a car along a level road an electron is accelerated towards a positively charged plate a piston is pushed outwards as a gas expands detail work is done by the girl against the gravitational field as she falls work is done by the man against friction work is done on the electron by the electric field of the plate work is done on the atmosphere by the gas ULES /13/M/J/17 [Turn over

10 1 15 steam turbine is used to drive a generator. The input power to the turbine is P I and the output power is P O. The power loss in the turbine is P L, as shown below. input power P I turbine output power P O generator power loss P L What is the efficiency of the turbine? P P L O P I P L P O P O PI PI 16 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? v m 1 v m v 1 m v m 17 man has a mass of 8 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 5 cm s 1. What is the average useful power at which he is working? 4 W.39 kw 4. kw 39 kw 18 Two wires with the same Young modulus E and cross-sectional area, 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 e e L E FL different different same different same same same different different same different same ULES /13/M/J/17

11 11 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 2 F / N 8 F / N 1 x / cm 5 x / cm Which statement is correct? When each spring is given the same extension, the energy stored in Y is 4 times the energy stored in X. When each spring is given the same extension, the energy stored in Y is 8 times the energy stored in X. When the same force is applied to each spring, the energy stored in Y is 4 times the energy stored in X. When the same force is applied to each spring, the energy stored in Y is 8 times the energy stored in X. 2 The diagram shows the force-extension graph for a steel wire, up to its breaking point. force / N extension / mm What is the best estimate of the work done to break the wire? 2.1 J 2.3 J 2.4 J 2.5 J ULES /13/M/J/17 [Turn over

12 21 Which statement about electromagnetic waves in a vacuum is correct? 12 mplitude is inversely proportional to velocity. Frequency is inversely proportional to wavelength. Intensity is proportional to amplitude. Velocity is proportional to wavelength. 22 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. displacement direction of travel of wave distance / m t which distance along the rope do the particles have maximum upwards velocity?.5 m 1. m 1.5 m 2. m ULES /13/M/J/17

13 23 trace is shown on the screen of a cathode-ray oscilloscope (c.r.o.) cm 1. cm The time-base setting is 2.5 ms cm 1 and the Y-gain is 2. V cm 1. What is the frequency and the amplitude of the waveform displayed by the c.r.o.? frequency / Hz amplitude / V high-speed train approaches a stationary observer at a speed of 8 m s 1. The train s horn emits a sound of frequency 25 Hz. The speed of sound is 34 m s 1. What is the observed frequency of the sound from the horn? 19 Hz 2 Hz 31 Hz 33 Hz 25 Which row shows a correct frequency in Hz for each of the four principal radiations? X-rays ultraviolet microwaves infra-red ULES /13/M/J/17 [Turn over

14 14 26 pipe of length 1 cm is open at both ends. loudspeaker situated at one end of the pipe can emit sound of different wavelengths. loudspeaker 1 cm pipe t which wavelength can a stationary wave be produced in the pipe? 5 cm 75 cm 15 cm 3 cm 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 diffraction visible angle between first and second orders of diffraction decreases decreases decreases increases increases decreases increases increases ULES /13/M/J/17

15 15 28 Monochromatic light of wavelength λ is incident on two narrow slits S 1 and S 2, a small distance apart. series of bright and dark fringes are observed on a screen a long distance away from the slits. light wavelength λ S 1 P screen S 2 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? S 2 P S 1 P = nλ 2 S 2 P S 1 P = nλ S 2 P S 1 P = (n 2 1 )λ S 2 P S 1 P = (n )λ 29 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 + ULES /13/M/J/17 [Turn over

16 16 3 In a uniform electric field, which statement is correct? ll charged particles experience the same force. ll charged particles move with the same velocity. ll electric field lines are directed towards positive charges. ll electric field lines are parallel. 31 Two metal plates are a distance of 3 cm apart in a vacuum. current exists between the two plates consisting of electrons moving at a constant speed of m s 1. t any instant, there is always just one electron travelling between the plates. What is the current between the plates? The diagram shows a portable generator connected by cables to floodlights. The generator produces a current of 1 at a constant potential difference (p.d.) of 24 V. The total resistance of the cables is 2 Ω. generator 24 V 1 cables 1 Ω 1 Ω floodlights What is the p.d. V across, and the power P delivered to, the floodlights? V / V P / W ULES /13/M/J/17

17 33 metal cube with sides of length a has electrical resistance R between opposite faces. 17 a What is the resistance between the opposite faces of a cube of the same metal with sides of length 3a? 9R 3R R 3 R 9 34 graph of potential difference (p.d.) V across a cell against current I in the cell is shown. V I s 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? V line of original graph V V V I I I I ULES /13/M/J/17 [Turn over

18 35 2 V d.c. supply is connected to a circuit consisting of five resistors L, M, N, P and Q. 18 L M 7 V drop P N 4 V drop Q + 2 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 across M / V potential drop across P / V potential drop across Q / V potential divider circuit consists of a cell of negligible internal resistance in series with two variable resistors of resistances R 1 and R 2. The potential difference (p.d.) across the cell is V. The p.d. at the output is V. R 1 V R 2 V Which statement is correct? When R 1 increases, it takes a greater proportion of V, so V decreases. When R 1 increases, the current through R 1 and R 2 decreases, so V increases. When R 2 decreases, it takes a smaller proportion of V, so V increases. When R 2 increases, the current through R 1 and R 2 decreases, so V decreases. ULES /13/M/J/17

19 nucleus of uranium-238, 92 U, decays in a series of steps to form a nucleus of lead-26, Pb, as shown. 238 U Pb n α-particle or a β particle is emitted during each step. What is the total number of β particles that are emitted? 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 The nuclear equation shown has a term missing. 14 What is represented by the missing term? N + 1 β +... an antineutrino an electron a neutrino a positron 4 Which particle is a fundamental particle? electron hadron neutron proton ULES /13/M/J/17

20 2 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. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the ambridge International Examinations opyright cknowledgements ooklet. This is produced for each series of examinations and is freely available to download at after the live examination series. 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 /13/M/J/17

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level *5399695* ambridge International Examinations ambridge International dvanced Subsidiary and dvanced Level PHYSIS 97/11 Paper 1 Multiple hoice May/June 18 dditional Materials: Multiple hoice nswer Sheet