# 9702_s13_qp_41

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LATEST PHYSICS PAPER 2013
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This document consists of 23  printed pages and 1  blank page. DC (SJF/JG) 58174/1 © UCLES 2013 [Turn over UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONSGeneral Certificate of Education Advanced Level * 014744 8 5 9 6* PHYSICS   9702/41 Paper 4 A2 Structured Questions May/June 2013   2 hours 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.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. For Examiner’s Use 1 2 3 4 5 6 7 8 9101112Total  2 9702/41/M/J/13 © UCLES 2013 Data speed of light in free space, c = 3.00 × 10 8  ms –1 permeability of free space, μ  0   = 4 π  × 10 –7  Hm –1 permittivity of free space, ε 0   = 8.85 × 10 –12  Fm –1  (14 π ε  0  = 8.99 × 10 9  m F –1 )elementary charge, e = 1.60 × 10 –19  Cthe Planck constant, h = 6.63 × 10 –34  Jsunified atomic mass constant, u = 1.66 × 10 –27  kgrest mass of electron, m  e   = 9.11 × 10 –31  kgrest mass of proton, m  p   = 1.67 × 10 –27  kgmolar gas constant, R = 8.31 JK –1 mol –1 the Avogadro constant, N  A   = 6.02 × 10 23 mol –1 the Boltzmann constant, k = 1.38 × 10 –23  JK –1 gravitational constant, G = 6.67 × 10 –11  Nm 2 kg –2 acceleration of free fall, g = 9.81 ms –2  3 9702/41/M/J/13 © UCLES 2013 [Turn overFormulae uniformly accelerated motion, s   = ut +        at  2   v  2  = u  2   +   2 as  work done on/by a gas, W   = p  Δ V  gravitational potential, φ   = –  Gm r  hydrostatic pressure, p   = ρ  gh  pressure of an ideal gas, p   =       Nm V  < c  2 >simple harmonic motion, a   = – ω    2 x  velocity of particle in s.h.m., v   = v  0  cos ω  t    v   = ± ω     √⎯⎯⎯⎯⎯⎯⎯⎯⎯ ( x  02  – x  2 )electric potential, V   = Q  4 π ε 0 r  capacitors in series, 1/  C   = 1/  C  1  + 1/  C  2  + . . .capacitors in parallel, C   = C  1  + C  2  + . . .energy of charged capacitor, W   =       QV  resistors in series, R   = R  1  + R  2  + . . .resistors in parallel, 1/  R   = 1/  R  1  + 1/  R  2  + . . .alternating current/voltage, x   = x  0 sin ω    t  radioactive decay, x   = x  0 exp(– λ  t  )decay constant, λ   = 0.693 t        4 9702/41/M/J/13 © UCLES 2013 For Examiner’s Use    Section A  Answer all  the questions in the spaces provided. 1 (a) State what is meant by a gravitational field  . .......................................................................................................................................... .......................................................................................................................................... ......................................................................................................................................[2]  (b) In the Solar System, the planets may be assumed to be in circular orbits about the Sun.   Data for the radii of the orbits of the Earth and Jupiter about the Sun are given in Fig. 1.1.radius of orbit / kmEarthJupiter1.50 × 10 8 7.78 × 10 8 Fig. 1.1 (i) State Newton’s law of gravitation. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. ..............................................................................................................................[3]  (ii) Use Newton’s law to determine the ratiogravitational field strength due to the Sun at orbit of Earthgravitational field strength due to the Sun at orbit of Jupiter . ratio = ................................................. [3]
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