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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level * 4 8 3 5 7 2 7 6 4 1 * PHYSICS…

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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Advanced Subsidiary Level and Advanced Level * 4 8 3 5 7 2 7 6 4 1 * PHYSICS 9702/22 Paper 2 AS Structured Questions May/June 2013 1 hour 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 a pencil for any diagrams, graphs or rough working. Do not use staples, paper clips, highlighters, 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. For Examiner’s Use At the end of the examination, fasten all your work securely together. 1 The number of marks is given in brackets [ ] at the end of each question or part question. 2 3 4 5 6 7 Total This document consists of 14 printed pages and 2 blank pages. DC (LEO/CGW) 57982/4 © UCLES 2013 [Turn over 2 Data speed of light in free space, c = 3.00 × 10 8 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 × 10 9 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 constant, 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 × 10 23 mol –1 the Boltzmann constant, k = 1.38 × 10 –23 J K –1 gravitational constant, G = 6.67 × 10 –11 N m 2 kg –2 acceleration of free fall, g = 9.81 m s –2 © UCLES 2013 9702/22/M/J/13 3 Formulae uniformly accelerated motion, s = ut + 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 Nm 2 pressure of an ideal gas, p = V c simple harmonic motion, a = – ω 2x velocity of particle in s.h.m., v = v0 cos ωt v = ± ω √⎯(x⎯ 0⎯ 2 ⎯ –⎯ x⎯ ⎯ 2⎯ ) Q electric potential, V = 4πε0r capacitors in series, 1/C = 1/C1 + 1/C2 + . . . capacitors in parallel, C = C1 + C2 + . . . energy of charged capacitor, W = QV resistors in series, R = R1 + R2 + . . . resistors in parallel, 1/R = 1/R1 + 1/R2 + . . . alternating current/voltage, x = x0 sin ω t radioactive decay, x = x0 exp(– λt ) 0.693 decay constant, λ = t © UCLES 2013 9702/22/M/J/13 [Turn over 4 Answer all the questions in the spaces provided. For Examiner’s 1 (a) Determine the SI base units of power. Use SI base units of power ................................................. [3] (b) Fig. 1.1 shows a turbine that is used to generate electrical power from the wind. L wind turbine speed v Fig. 1.1 The power P available from the wind is given by P = CL2ρv 3 where L is the length of each blade of the turbine, ρ is the density of air, v is the wind speed, C is a constant. (i) Show that C has no units. [3] © UCLES 2013 9702/22/M/J/13 5 (ii) The length L of each blade of the turbine is 25.0 m and the density ρ of air is 1.30 in For SI units. The constant C is 0.931. Examiner’s The efficiency of the turbine is 55% and the electric power output P is 3.50 × 105 W. Use Calculate the wind speed. wind speed = ........................................ m s–1 [3] (iii) Suggest two reasons why the electrical power output of the turbine is less than the power available from the wind. 1. ............................................................................................................................... .................................................................................................................................. 2. ............................................................................................................................... .................................................................................................................................. [2] © UCLES 2013 9702/22/M/J/13 [Turn over 6 2 (a) Define force. For Examiner’s ..................................................................................................................................... [1] Use (b) A resultant force F acts on an object of mass 2.4 kg. The variation with time t of F is shown in Fig. 2.1. 10.0 8.0 F/N 6.0 4.0 2.0 0 0 1.0 2.0 3.0 4.0 t /s Fig. 2.1 The object starts from rest. © UCLES 2013 9702/22/M/J/13 7 (i) On Fig. 2.2, show quantitatively the variation with t of the acceleration a of the For object. Include appropriate values on the y-axis. Examiner’s Use a / m s–2 0 0 1.0 2.0 3.0 4.0 t /s Fig. 2.2 [4] (ii) On Fig. 2.3, show quantitatively the variation with t of the momentum p of the object. Include appropriate values on the y-axis. p/Ns 0 0 1.0 2.0 3.0 4.0 t /s Fig. 2.3 [5] © UCLES 2013 9702/22/M/J/13 [Turn over 8 3 (a) Define centre of gravity. For Examiner’s .......................................................................................................................................... Use ...................................................................................................................................... [2] (b) A uniform rod AB is attached to a vertical wall at A. The rod is held horizontally by a string attached at B and to point C, as shown in Fig. 3.1. C string T wall 1.2 m 50° A B O 8.5 N mass M Fig. 3.1 The angle between the rod and the string at B is 50°. The rod has length 1.2 m and weight 8.5 N. An object O of mass M is hung from the rod at B. The tension T in the string is 30 N. (i) Use the resolution of forces to calculate the vertical component of T. vertical component of T = ............................................. N [1] (ii) State the principle of moments. .................................................................................................................................. .............................................................................................................................. [1] © UCLES 2013 9702/22/M/J/13 9 (iii) Use the principle of moments and take moments about A to show that the weight of For the object O is 19 N. Examiner’s Use [3] (iv) Hence determine the mass M of the object O. M = ............................................ kg [1] (c) Use the concept of equilibrium to explain why a force must act on the rod at A. .......................................................................................................................................... .......................................................................................................................................... ...................................................................................................................................... [2] © UCLES 2013 9702/22/M/J/13 [Turn over 10 BLANK PAGE © UCLES 2013 9702/22/M/J/13 11 4 (a) Describe apparatus that demonstrates Brownian motion. Include a diagram. For Examiner’s Use .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... ...................................................................................................................................... [2] (b) Describe the observations made using the apparatus in (a). .......................................................................................................................................... .......................................................................................................................................... ...................................................................................................................................... [2] (c) State and explain two conclusions about the properties of molecules of a gas that follow from the observations in (b). 1. ...................................................................................................................................... .......................................................................................................................................... 2. ...................................................................................................................................... .......................................................................................................................................... [2] © UCLES 2013 9702/22/M/J/13 [Turn over 12 5 Fig. 5.1 shows a string stretched between two fixed points P and Q. For Examiner’s Use string P Q vibrator wall Fig. 5.1 A vibrator is attached near end P of the string. End Q is fixed to a wall. The vibrator has a frequency of 50 Hz and causes a transverse wave to travel along the string at a speed of 40 m s–1. (a) (i) Calculate the wavelength of the transverse wave on the string. wavelength = ............................................. m [2] (ii) Explain how this arrangement may produce a stationary wave on the string. .................................................................................................................................. .................................................................................................................................. .............................................................................................................................. [2] (b) The stationary wave produced on PQ at one instant of time t is shown on Fig. 5.2. Each point on the string is at its maximum displacement. P Q Fig. 5.2 (not to scale) (i) On Fig. 5.2, label all the nodes with the letter N and all the antinodes with the letter A. [2] © UCLES 2013 9702/22/M/J/13 13 (ii) Use your answer in (a)(i) to calculate the length of string PQ. For Examiner’s Use length = ............................................. m [1] (iii) On Fig. 5.2, draw the stationary wave at time (t + 5.0 ms). Explain your answer. .............................................................................................................................. [3] © UCLES 2013 9702/22/M/J/13 [Turn over 14 6 (a) Define charge. For Examiner’s ...................................................................................................................................... [1] Use (b) A heater is made from a wire of resistance 18.0 Ω and is connected to a power supply of 240 V. The heater is switched on for 2.60 Ms. Calculate (i) the power transformed in the heater, power = ............................................. W [2] (ii) the current in the heater, current = .............................................. A [1] (iii) the charge passing through the heater in this time, charge = ............................................. C [2] (iv) the number of electrons per second passing a given point in the heater. number = ........................................... s–1 [2] © UCLES 2013 9702/22/M/J/13 15 7 A polonium nucleus 210 84Po is radioactive and decays with the emission of an α-particle. The For nuclear reaction for this decay is given by Examiner’s Use 210 W Y 84Po XQ + Z α. (a) (i) State the values of W ............... X ............... Y ............... Z ............... [2] (ii) Explain why mass seems not to be conserved in the reaction. .................................................................................................................................. .............................................................................................................................. [2] (b) The reaction is spontaneous. Explain the meaning of spontaneous. .......................................................................................................................................... ...................................................................................................................................... [1] © UCLES 2013 9702/22/M/J/13 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. University of 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 2013 9702/22/M/J/13

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