2022 RI Prelims H2 Phy Paper 1 QP

This document consists of 16 printed pages. © Raffles Institution 9749/01 [Turn over RAFFLES INSTITUTION 2022 Preliminary Examination PHYSICS Higher 2 Paper 1 Multiple Choice Questions 9749/01 26 September 2022 1 hour Additional Materials: OMR Form READ THESE INSTRUCTIONS FIRST Write in soft pencil. Do not use staples, paper clips, glue or correction fluid. Write your index number, name and class on the OMR Form in the spaces provided. Shade the appropriate boxes. There are thirty questions on this paper. Answer all questions. For each question there are four possible answers A, B, C and D. Choose the one you consider correct and record your choice in soft pencil on the OMR Form. Read the instructions on the OMR Form very carefully. Each correct answer will score one mark. A mark will not be deducted for a wrong answer. Any rough working should be done in this booklet. The use of an appropriate scientific calculator is expected, where necessary.

2 © Raffles Institution 9749/01 [Turn over Data speed of light in free space c  81 3.00 10 m s   permeability of free space 0  71 41 0 H m   permittivity of free space 0  12 1 8.85 10 F m     91 13 6 1 0 F m   elementary charge e  19 1.60 10 C   the Planck constant h  34 6.63 10 J s   unified atomic mass constant u  27 1.66 10 kg   rest mass of electron me  31 9.11 10 kg   rest mass of proton mp  271.67 10 kg molar gas constant R  1 18.31 J K mol  the Avogadro constant NA  23 16.02 10 mol  the Boltzmann constant k  23 11.38 10 J K   gravitational constant G  11 226.67 10 N m kg  acceleration of free fall g  29.81 m s Formulae uniformly accelerated motion s  21 2ut at 2v  2 2ua s work done on / by a gas W  p V hydrostatic pressure p  ρgh gravitational potential   Gm r temperature T/K  / C 273.15T  pressure of an ideal gas p  21 3 Nm cV mean translational kinetic energy of an ideal gas molecule E  3 2 kT displacement of particle in s.h.m. x  0 sinx t velocity of particle in s.h.m. v  0 cosvt  22 0x x  electric current I  Anvq resistors in series R  12 RR  resistors in parallel 1/ R  1211 RR  electric potential V  4 Q r alternating current/voltage x  0 sinx t magnetic flux density due to a long straight wire B  0 2 d   I magnetic flux density due to a flat circular coil B  0 2 N r  I magnetic flux density due to a long solenoid B  0n I radioactive decay x   0 expxt  decay constant   12ln2 t

3 © Raffles Institution 9749/01 [Turn over 1 A student makes measurements from which he calculates the speed of sound in air as 1335.61 m s . He estimates the percentage uncertainty in the speed of sound to be 4.5% . How should the student record the speed of sound, considering the uncertainty? A 1330 m s B 1335.6 m s C 1336 m s D 1340 m s 2 The Stefan-Boltzmann law for the rate of thermal energy emitted per unit surface area of a body is given by 4P eTA  , where P is the rate of thermal energy emitted, A is the surface area, T is the thermodynamic temperature and e, a dimensionless constant, is the emissivity of the body and  is the Stefan- Boltzmann constant. Which is the S.I. base unit for  ? A 34kg s K B 14kg s K C 24W m K D 24W m C  3 A stone is projected perpendicularly to a slope with a velocity of 15.0 m s and lands 3.4 m down the slope. The slope is inclined at an angle of 30 to the horizontal. Air resistance is negligible. What is the angle  that the velocity of the stone makes with the slope as it lands? A 27 B 32 C 41 D 71 

4 © Raffles Institution 9749/01 [Turn over 4 A ball is thrown vertically upwards from the edge of a stage with speed u and hits the ground at the foot of the stage with speed 2u. The time taken for the ball to reach its maximum height is t. The graph shows how the velocity of the ball varies from the time it is thrown to the time it hits the ground. The areas under different sections of the graph are labelled S1, S2 and S3. Which graph shows the variation of t he displacement of the ball with time? A B C D stage ground path of ball velocity time 0 u –u –2u S1 S2 S3 displacement time 0 S1 –(S2+S3) t 2t 3t displacement time 0 S1 –S3 t 2t 3t displacement time 0 S2 –S3 t 2t 3t displacement time 0 S1+S2 –S3 t 2t 3t

5 © Raffles Institution 9749/01 [Turn over 5 Block P is resting on a more massive bloc k Q, which is resting on a smooth ground. The surfaces of blocks P and Q that are in contact with each other are rough. A sudden force acts momentarily on block P to start it sliding to the left. Which statement about the subsequent motions of the blocks is correct? A Block P accelerates as it moves to the left, while block Q remains at rest. B Block P and block Q accelerate as they move to the left, where the acceleration of block Q is smaller in ma gnitude compared to the acceleration of block P. C Block P decelerates and blo ck Q accelerates as they move to the left, where the acceleration of block Q is smaller in magnitude compared to the deceleration of block P. D Block P decelerates and blo ck Q accelerates as they move to the left, where the magnitudes of the acceleration of block Q and the deceleration of block P are the same. 6 A column of mass M is dropped from height H above the surface of the soil and comes to a stop after travelling for a duration t in the soil. What is the average resistive force that acts on the column due to the soil? A 2 21 HMg gt   B 2 2HMg gt C Mg D 2 21 HMg gt   smooth ground force acts momentarily P Q H soil column

6 © Raffles Institution 9749/01 [Turn over 7 A uniform cube is floating in a liquid. A quarter of the cube is then removed. What is the resultant force and resultant moment on the remaining portion of the cube immediately after the quarter of the cube is removed? resultant force resultant moment A zero anticlockwise B upwards clockwise C zero clockwise D upwards anticlockwise 8 A ball is projected with an initial velocity at an angle above a horizonal ground and falls back to the ground in a parabolic path. Which graph shows the variation with time t of the gravitational potential energy Ep and the kinetic energy Ek of the ball? A B C D removed liquid E t Ek Ep 0 E t Ek Ep 0 E Ek Ep t 0 E Ek Ep t 0

7 © Raffles Institution 9749/01 [Turn over 9 Two bodies A and B of masses m and 2m respectively are initially at rest on a smooth horizontal surface. A constant force acts on body A for twice the duration that it acts on body B. What is the ratio gain in kinetic energy of body A gain in kinetic energy of body B ? A 1 B 2 C 4 D 8 10 A sphere of mass 0.40 kg is attached to a light, rigid rod of length 0.50 m that is hinged at point O. The sphere is projected with a horizontal speed of 12.5 m s when it is vertically above point O an