TJC 2023 H2 Prelim Paper 1

TEMASEK JUNIOR COLLEGE 2023 JC2 PRELIMINARY EXAMINATION Higher 2 PHYSICS 9749/01 Paper 1 Multiple Choice 15 September 2023 1 hour Additional Materials: Multiple Choice Answer Sheet READ THESE INSTRUCTIONS FIRST Write in soft pencil. Do not use staples, paper clips, glue or correction fluid. Write your name and Civics group on the Answer Sheet in the spaces provided. There are thirty questions in 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 separate Answer Sheet. 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 approved scientific calculator is expected, where appropriate. Do NOT open the booklets until you are told to do so. This booklet consists of 15 printed pages and 1 blank page.

2 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  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 = gh gravitational potential 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. velocity of particle in s.h.m. electric current I = Anvq resistors in series R = R1 + R2 + . . . . resistors in parallel 1/R = 1/R1 + 1/R2 + . . . . electric potential V = Q/(40r) alternating current / voltage x = x0 sint magnetic flux density due to a long straight wire magnetic flux density due to a flat circular coil magnetic flux density due to a long solenoid radioactive decay x = x0 exp(−t) decay constant Gm r =− 0 sinx x t = 0 cosv v t = 22 0xx=  − 0 2B d  = I 0 2 NB r = I 0Bn = I 1 2 ln 2 t =

3 [Turn over 1 The diagram shows an experiment to measure the speed of a small ball falling at constant speed through a clear liquid in a glass tube. There are two marks on the tube. The top mark is positioned at 115 ± 1 mm on the adjacent rule and the lower mark at 385 ± 1 mm. The ball passes the top mark at 1.50 ± 0.02 s and passes the lower mark at 3.50 ± 0.02 s. Which of the following gives the correct uncertainty in the value of this speed? A 0.01 mm s-1 B 0.03 mm s-1 C 2 mm s-1 D 4 mm s-1 2 A man pushing a mop across a floor causes it to undergo two displacements. The first displacement, as shown in the figure below, has a magnitude of 150 cm and makes an angle of 120° measured anticlockwise with respect to the positive x-axis. The resultant displacement has a magnitude of 140 cm and is directed at an angle of 30° measured anticlockwise with respect to the positive x-axis. What are the magnitude and direction of the second displacement? magnitude / cm angle(measured anticlockwise) to the positive x-axis A 290 90° B 290 270° C 205 17° D 205 343° x first displacement of 150 cm 120o

4 3 An electric train consists of two carriages, each of mass 1.0 x 105 kg. The motor, which is in the front carriage, provides a constant traction force of 1.2 x 105 N. Assume that all resistive forces are negligible. The train accelerates from rest. After 20 s, the coupling between the two carriages breaks. How far apart are the carriages after another 20 s? A 120 m B 240 m C 360 m D 480 m 4 Ball A is projected horizontally with an initial velocity 2v from a height h above ground, while ball B is projected horizontally with an initial velocity v from a height 2h above ground. Neglecting air resistance, what is the ratio ?horizontal displacement of ball A from the point of projection horizontal displacement of ball B from the point of projection A 2.83 B 1.41 C 1.00 D 0.353 5 Three blocks with masses M, 2M and 3M are pushed along a rough surface by a horizontal force F as shown. The friction between mass M and the rough surface is f, and f is proportional to M. What is the magnitude of the force mass 3M exerts on mass 2M? A 2 F B fF 32 + C fF +3 D fF 33 + 6 A lead pellet is shot vertically upwards into a clay block that is stationary initially but is able to rise freely after impact. The mass of pellet is 5.0 g and the mass of clay block is 95 g. The pellet hits the block with an initial velocity of 200 m s-1. It embeds itself in the block and does not emerge. How high above its initial position will the block rise? A 5.1 m B 10 m C 61 m D 102 m 3M 2M F M

5 [Turn over 7 The diagram shows a wine rack with a bottle of wine that is balanced on the table. Which of the following diagrams correctly shows the directions of the forces acting on the wine rack? A B C D

6 8 Two objects P and Q having the same volume are hung at either ends of a light uniform rod and subsequently submerged in two different liquids X and Y respectively. The density of liquid X is greater than that of liquid Y. The system is balanced when a string is hung right at the centre of the rod as shown in the figure below. Which of the following statements is correct? A P and Q experience the same magnitudes of upthrust. B Upthrust acting on P is smaller than the upthrust acting on Q. C Mass of P is smaller than mass of Q. D Mass of P is greater than mass of Q. 9 A mass m, attached to one end of an inextensible string of length 5.0 m, is made to move in a horizontal circle as the central axle is rotated. In a particular circular motion, the string makes an angle of 30o with the vertical as shown in the figure below. What is the period of the mass’s motion about the central axle? A 1.0 s B 3.5 s C 4.8 s D 6.2 s P Q liquid X liquid Y central axle m 5.0 m 3.0 m 30o

7 [Turn over 10 An object is fixed to one end of a light rod which rotates in a vertical circle with a constant speed. Which graph could represent the variation with angle θ of the tension T in the rod? 11 Planet A, of mass M, and planet B, of unknown mass, are found to be at a fixed separation of r, measured from their respective centres of mass. When a spacecraft moves from point P to point Q, its gravitational potential energy changes from U to 1.25U. What is the mass of planet B in terms of M? A 5M 4 B 4M 3 C 3M 2 D 2M . . P Q r / 3 r / 3 r / 3 Planet A Planet B

8 12 A satellite moves from one circular orbit around the Earth into another circular orbit with a smaller orbital radius. Which of the following is correct? A Angular velocity of the s