Cambridge International AS & A Level Physics Past Paper PDF February/March 2018

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level * 0 8 0 0 2 3 3 3 9 1 * PHYSICS 9702/...

Cambridge International Examinations Cambridge International Advanced Subsidiary and Advanced Level * 0 8 0 0 2 3 3 3 9 1 * PHYSICS 9702/22 Paper 2 AS Level Structured Questions February/March 2018 1 hour 15 minutes Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. Electronic calculators may be used. You may lose marks if you do not show your working or if you do not use appropriate units. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. This document consists of 14 printed pages and 2 blank pages. DC (ST/SW) 143359/4 © UCLES 2018 [Turn over  2 Data speed of light in free space c = 3.00 × 108 m s−1 permeability of free space μ0 = 4π × 10−7 H m−1 permittivity of free space ε0 = 8.85 × 10−12 F m−1 1 ( = 8.99 × 109 m F−1) 4πε0 elementary charge e = 1.60 × 10−19 C the Planck constant h = 6.63 × 10−34 J s unified atomic mass unit 1 u = 1.66 × 10−27 kg rest mass of electron me = 9.11 × 10−31 kg rest mass of proton mp = 1.67 × 10−27 kg molar gas constant R = 8.31 J K−1 mol−1 the Avogadro constant NA = 6.02 × 1023 mol−1 the Boltzmann constant k = 1.38 × 10−23 J K−1 gravitational constant G = 6.67 × 10−11 N m2 kg−2 acceleration of free fall g = 9.81 m s−2 © UCLES 2018 9702/22/F/M/18  3 Formulae 1 uniformly accelerated motion s = ut + 2 at 2 v 2 = u 2 + 2as work done on/by a gas W = p ΔV Gm gravitational potential φ =− r hydrostatic pressure p = ρgh 1 Nm 2 pressure of an ideal gas p = 〈c 〉 3 V simple harmonic motion a = − ω 2x velocity of particle in s.h.m. v = v0 cos ωt v = ± ω (x 02 - x 2) fsv Doppler effect fo = v ± vs Q electric potential V = 4πε0r capacitors in series 1/C = 1/C1 + 1/C2 +... capacitors in parallel C = C1 + C2 +... 1 energy of charged capacitor W = 2 QV electric current I = Anvq resistors in series R = R1 + R2 +... resistors in parallel 1/R = 1/R1 + 1/R2 +... BI Hall voltage VH = ntq alternating current/voltage x = x0 sin ω t radioactive decay x = x0 exp(−λt ) 0.693 decay constant λ = t 1 2 © UCLES 2018 9702/22/F/M/18 [Turn over  4 Answer all the questions in the spaces provided. 1 (a) Complete Fig. 1.1 to indicate whether each of the quantities is a vector or a scalar. quantity vector or scalar acceleration speed power Fig. 1.1 (b) A ball is projected with a horizontal velocity of 1.1 m s–1 from point A at the edge of a table, as shown in Fig. 1.2. table ball 1.1 m s–1 A path of ball B horizontal ground 0.43 m Fig. 1.2 The ball lands on horizontal ground at point B which is a distance of 0.43 m from the base of the table. Air resistance is negligible. (i) Calculate the time taken for the ball to fall from A to B. time =....................................................... s (ii) Use your answer in (b)(i) to determine the height of the table. height =...................................................... m © UCLES 2018 9702/22/F/M/18  5 (iii) The ball leaves the table at time t = 0. For the motion of the ball between A and B, sketch graphs on Fig. 1.3 to show the variation with time t of 1. the acceleration a of the ball, 2. the vertical component sv of the displacement of the ball from A. Numerical values are not required. a sv 0 0 0 t 0 t Fig. 1.3 (c) A ball of greater mass is projected from the table with the same velocity as the ball in (b). Air resistance is still negligible. State and explain the effect, if any, of the increased mass on the time taken for the ball to fall to the ground................................................................................................................................................................................................................................................................................................... [Total: 8] © UCLES 2018 9702/22/F/M/18 [Turn over  6 2 (a) Explain what is meant by (i) work done,.................................................................................................................................................................................................................................................................................. (ii) kinetic energy................................................................................................................................................................................................................................................................................... (b) A leisure-park ride consists of a carriage that moves along a railed track. Part of the track lies in a vertical plane and follows an arc XY of a circle of radius 13 m, as shown in Fig. 2.1. 13 m Y 13 m carriage mass 580 kg 22 m s–1 track X Fig. 2.1 The mass of the carriage is 580 kg. At point X, the carriage has velocity 22 m s–1 in a horizontal direction. The velocity of the carriage then decreases to 12 m s–1 in a vertical direction at point Y. (i) For the carriage moving from X to Y 1. show that the decrease in kinetic energy is 9.9 × 104 J, 2. calculate the gain in gravitational potential energy. gain in gravitational potential energy =....................................................... J © UCLES 2018 9702/22/F/M/18  7 (ii) Show that the length of the track from X to Y is 20 m. (iii) Use your answers in (b)(i) and (b)(ii) to calculate the average resistive force acting on the carriage as it moves from X to Y. resistive force =...................................................... N (iv) Describe the change in the direction of the linear momentum of the carriage as it moves from X to Y................................................................................................................................................................................................................................................................................... (v) Determine the magnitude of the change in linear momentum when the carriage moves from X to Y. change in momentum =.................................................... N s [Total: 13] © UCLES 2018 9702/22/F/M/18 [Turn over  8 3 (a) For the deformation of a wire under tension, define (i) stress,.................................................................................................................................................................................................................................................................................. (ii) strain................................................................................................................................................................................................................................................................................... (b) A wire is fixed at one end so that it hangs vertically. The wire is given an extension x by suspending a load F from its free end. The variation of F with x is shown in Fig. 3.1. 8 F /N 7 6 5 4 3 2 1 0 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 x / mm Fig. 3.1 The wire has cross-sectional area 9.4 × 10–8 m2 and original length 2.5 m. (i) Describe how measurements can be taken to determine accurately the cross-sectional area of the wire.................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... © UCLES 2018 9702/22/F/M/18  9 (ii) Determine the Young modulus E of the material of the wire. E =.................................................... Pa (iii) Use Fig. 3.1 to calculate the increase in the energy stored in the wire when the load is increased from 2.0 N to 4.0 N. increase in energy =....................................................... J (c) The wire in (b) is replaced by a new wire of the same material. The new wire has twice the length and twice the diameter of the old wire. The new wire also obeys Hooke’s law. On Fig. 3.1, sketch the variation with extension x of the load F for the new wire from x = 0 to x = 0.80 mm. [Total: 11] © UCLES 2018 9702/22/F/M/18 [Turn over  10 4 (a) State the conditions required for the formation of a stationary wave......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... (b) The sound from a loudspeaker is detected by a microphone that is connected to a cathode-ray oscilloscope (c.r.o.). Fig. 4.1 shows the trace on the screen of the c.r.o. 1 cm 1 cm Fig. 4.1 In air, the sound wave has a speed of 330 m s–1 and a wavelength of 0.18 m. (i) Calculate the frequency of the sound wave. frequency =.................................................... Hz (ii) Determine the time-base setting, in s cm–1, of the c.r.o. time-base setting =............................................... s cm–1 © UCLES 2018 9702/22/F/M/18  11 (iii) The intensity of the sound from the loudspeaker is now halved. The wavelength of the sound is unchanged. Assume that the amplitude of the trace is proportional to the amplitude of the sound wave. On Fig. 4.1, sketch the new trace shown on the screen of the c.r.o. (c) The loudspeaker in (b) is held above a vertical tube of liquid, as shown in Fig. 4.2. loudspeaker liquid level A level A tube level B level B liquid tap Fig. 4.2 Fig. 4.3 A tap at the bottom of the tube is opened so that liquid drains out at a constant rate. The wavelength of the sound from the loudspeaker is 0.18 m. The sound that is heard first becomes much louder when the liquid surface reaches level A. The next time that the sound becomes much louder is when the liquid surface reaches level B, as shown in Fig. 4.3. (i) Calculate the vertical distance between level A and level B. distance =...................................................... m (ii) On Fig. 4.3, label with the letter N the positions of the nodes of the stationary wave that is formed in the air column when the liquid surface is at level B. (iii) The mass of liquid leaving the tube per unit time is 6.7 g s–1. The tube has an internal cross-sectional area of 13 cm2. The density of the liquid is 0.79 g cm–3. Calculate the time taken for the liquid to move from level A to level B. time =....................................................... s [Total: 12] © UCLES 2018 9702/22/F/M/18 [Turn over  12 5 (a) State Kirchhoff’s second law................................................................................................................................................................................................................................................................................................... (b) Two batteries, each of electromotive force (e.m.f.) 6.0 V and negligible internal resistance, are connected in series with three resistors, as shown in Fig. 5.1. R 4.0 Ω X 6.0 V V 6.0 V Y 1.5 Ω I Fig. 5.1 Resistor X has resistance 4.0 Ω and resistor Y has resistance 1.5 Ω. (i) The resistance R of the variable resistor is changed until the voltmeter in the circuit reads zero. Calculate 1. the current I in the circuit, I =....................................................... A 2. the resistance R. R =...................................................... Ω © UCLES 2018 9702/22/F/M/18  13 (ii) Resistors X and Y are wires made from the same material. The diameter of the wire of X is twice the diameter of the wire of Y. Determine the ratio average drift speed of free electrons in X. average drift speed of free electrons in Y ratio =.......................................................... (iii) The resistance R of the variable resistor is now increased. State and explain the effect of the increase in R on the power transformed by each of the batteries......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... [Total: 10] © UCLES 2018 9702/22/F/M/18 [Turn over  14 6 A sample of a radioactive isotope emits a beam of β– radiation. (a) State the change, if any, to the number of neutrons in a nucleus of the sample that emits a β– particle................................................................................................................................................ (b) The number of β– particles passing a fixed point in the beam in a time of 2.0 minutes is 9.8 × 1010. Calculate the current, in pA, produced by the beam of β– particles. current =..................................................... pA (c) Suggest why the β– particles are emitted with a range of kinetic energies......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... [Total: 6] © UCLES 2018 9702/22/F/M/18  15 BLANK PAGE © UCLES 2018 9702/22/F/M/18  16 BLANK PAGE 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 (UCLES) 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 Cambridge International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cie.org.uk after the live examination series. Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge. © UCLES 2018 9702/22/F/M/18