2021 RI Prelims H2 Phy Paper 1 QP

© Raffles Institution [Turn over RAFFLES INSTITUTION 2021 Preliminary Examination PHYSICS Higher 2 Paper 1 Multiple Choice Questions 9749/01 September 2021 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 corre ct 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 appropriate. This document consists of 14 printed pages.

2 © Raffles Institution Data speed of light in free space c  3.00 × 108 m s1 permeability of free space 0  4   107 H m1 permittivity of free space 0  8.85 × 10 12 F m1  (1/(36 )) × 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 × 10 23 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 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 2kT   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  121 1 ...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 expx t decay constant   1 2 ln2 t

3 © Raffles Institution [Turn over 1 In an experiment to determine the density of a sphere, the following measurements are made. mass = 80 2 g diameter = 4.0 0.1 cm How should the value of density of the sphere be expressed? A 3(2.4 0.1) g cm  B 3(2.4 0.2) g cm  C 3(2.4 0.4) g cm  D 3g( 22 ) c m  2 The diagram shows the variation with time t of the velocity v of an object moving along a straight line. The intial displacement of the object is zero. Which graph shows the variation with time t of the displacement s of the object? A B C D s s t t t t1 t2 t3 t1 t2 t3 t1 v t t1 t3 t2 0 t2 t3 0 0 s 0 s t t1 t2 t3 0

4 © Raffles Institution 3 An object moves in the x-y plane. The graph on the left shows the variation with time t of the y-component of its momentum py and the graph on the right shows the variation with t of the x-component of its displacement sx. Which statement describes the motion of the object? A It is moving in a circular path. B It is moving in a parabolic path. C It is moving with simple harmonic motion. D It is moving with constant velocity in a straight line. 4 A body is acted upon by a resultant force F for a duration of 4.0 s. The graph below shows the variation with time t of F. Assuming that the body is moving in a strai ght line, what is the change in momentum of the body? A 2.0 N s B 2.8 N s C 4.0 N s D 14 N s py t 0 sx t 0 F /N t / s 0 8.0  6.0 4.0

5 © Raffles Institution [Turn over 5 The figure below shows a light wall-mounted shelf supported by a strut. The shelf experiences a force F due to the strut along the axis of the strut, as well as a force R due to the wall. A stack of Physics Revision Packages of weight W is placed near the edge of the shelf. Which vector diagram correctly s hows the forces acting on the shelf? A B C D 6 A uniform plastic block with a light balloon attached to its centre is supported by a spring that is fixed to the bottom of a tank. The tank is comp letely filled with water of density 1000 kg m –3 as shown. The block is in equilibrium and has a weight of 60 N and a volume of 5.0  103 m3. The spring has a spring constant of 5000 N m–1. The balloon displaces 0.015 m3 of water. What is the extension of the spring? A 0.0076 m B 0.017 m C 0.027 m D 0.051 m F strut shelf wall Physics 1 Physics 2 Physics 3 F R W F R W F R W F R W water tank balloon block spring

6 © Raffles Institution 7 A motor is used to lift a load of mass 0.80 kg vertically upward at an acceleration of 1.0 m s 2 for a distance of 2.0 m. The efficiency of the motor is 60%. What is the electrical energy supplied to the motor in performing this task? A 2.7 J B 17 J C 26 J D 29 J 8 A toy car of mass 0.22 kg is released from rest and runs down a smooth curved surface through a vertical distance of 0.40 m, as shown. It strikes a horizontal spring of force constant 350 N m 1 and compresses it by a distance x before coming to rest. Assuming no losses in mechanical energy, what is the value of x? A 4.9  103 m B 6.2  103 m C 3.5  102 m D 7.0  102 m 9 The capsules in the Singapore Flyer move in a circle of radius 75 m with an average period of 30 minutes. What is the centripetal acceleration of the capsules? A 9.1  104 m s2 B 0.26 m s2 C 3.3 m s2 D 9.8 m s2 0.40 m

7 © Raffles Institution [Turn over 10 A body of mass m moves in uniform circular motion with radius r, linear speed v and angular speed . Which chan ge does not affect the value of the centripetal force on the body? A Mass of body is decreased to 2 m . B Radius is increased to 2r and angular speed is decreased to 2  . C Radius is decreased to 2 r and linear speed is decreased to 2 v . D Linear speed is decreased to 2 v , angular speed is increased to 2  and radius is decreased to 4 r . 11 The Earth may be considered to be a uniform sphere of mass M and radius R. An apple of mass m falls from rest from a height h to the ground, where h << R such that the gravitational field strength g experienced by the apple during its fall may be assumed to be constant. What is the gain in kinetic energy of the apple? A mgR B 2 GMmh R C GM GM RR h  D GM GMm Rh R    12 An object has weight W on the surface of the Earth. The radius of Mars is 0.50 times that of the Earth. The density of Mars is 0.70 times that of the Earth. What is the weight of the object on the surface of Mars? A 0.35 W B 0.50 W C 0.70 W D 2.8 W

8 © Raffles Institution 13 A horizontal plate is oscillating vertically in simple harmonic motion at a frequency of 3.2 Hz. What is the maximum amplitude of oscillation such that a coin placed on the plate will always remain in contact with the plate? A 0.024 m B 0.15 m C 0.49 m D 0.96 m 14 In the derivation of