2017 RI H2 Physics Prelims P2 QP

This document consists of 20 printed pages. © Raffles Institution 9749/02 [Turn over Centre Number Index Number Name Class 3016 RAFFLES INSTITUTION 2017 Preliminary Examination PHYSICS Higher 2 Paper 2 Structured Questions 9749/02 14 September 2017 2 hours Candidates answer on the Question Paper. No Additional Materials are required. READ THESE INSTRUCTIONS FIRST Write your index number, name and class in the spaces at the top of this page. Write in dark blue or black pen in the spaces provided in this booklet. You may use pencil for any diagrams or graphs. Do not use staples, paper clips, glue or correction fluid. The use of an approved scientific calculator is expected, where appropriate. Answer all questions. The number o f marks is given in brackets [ ] at the end of each question or part question. For Examiner’s Use 1 / 10 2 / 10 3 / 10 4 / 10 5 / 10 6 / 10 7 / 20 Deduction Total / 80

2 © Raffles Institution 9749/02 Data speed of light in free space c = 3.00 × 108 m s−1 permeability of free space µ0 = 4 π × 10−7 H m−1 permittivity of free space ε0 = 8.85 × 10−12 F m−1 = (1/(36π)) × 10−9 F m−1 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 × 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 Formulae uniformly accelerated motion 21 2s ut at= + 22 2v u as= + work done on / by a gas W = p∆V hydrostatic pressure p = ρgh gravitational potential Gm rφ = − temperature T/K = T/°C + 273.15 pressure of an ideal gas 21 3 Nmpc V= mean translational kinetic energy of an ideal gas molecule 3 2E kT= displacement of particle in s.h.m. 0 sinxx t ω= velocity of particle in s.h.m. 0 cosvv t ω= 22 0xxω= ±− electric current I = Anvq resistors in series R = R1 + R2 + . . . . resistors in parallel 1/R = 1/R1 + 1/R2 + . . . . electric potential V = Q/(4πε0r) alternating current / voltage x = x0 sinωt magnetic flux density due to a long straight wire 0 2B d µ π= I magnetic flux density due to a flat circular coil 0 2 NB r µ= I magnetic flux density due to a long solenoid 0Bn µ= I radioactive decay x = x0 exp(−λt) decay constant 1 2 ln 2 tλ =

3 © Raffles Institution 9749/02 [Turn over 1 A sphere is projected with velocity u from the bottom of a ramp which is inclined at an angle θ to the horizontal as shown in Fig. 1.1. Fig. 1.1 (not to scale) (a) Define acceleration. [1] (b) (i) When u =