ACJC 2023 J2 H2 Physics Prelim P1

This paper consists of 16 printed pages Anglo-Chinese Junior College Physics Preliminary Examination Higher 2 PHYSICS Paper 1 Multiple Choice Additional Materials: Multiple Choice Answer Sheet 9749/01 15 September 2023 1 hour READ THESE INSTRUCTIONS FIRST Write in soft pencil. Do not use staples, paper clips, glue or correction fluid. Write your name and index number on the Answer Sheet provided. There are thirty questions in this section. 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. Read the instructions on the Answer Sheet 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 Question Paper. The use of an approved scientific calculator is expected, where appropriate.

2 Anglo-Chinese Junior College 2023 J2 H2 9749 Paper 1 Preliminary Examination DATA AND FORMULAE Data speed of light in free space, c = 3.00  108 m s−1 permeability of free space, o = 4  10−7 H m−1 permittivity of free space, o = 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

3 [Turn over Anglo-Chinese Junior College 2023 J2 H2 9749 Paper 1 Preliminary Examination Formulae uniformly accelerated motion, s = ut + 2 1 at 2 v 2 = u 2 + 2as work done on/by a gas, W = p V hydrostatic pressure, p =  g h gravitational potential,  = − Gm r temperature T/K = T/oC + 273.15 pressure of an ideal gas p = 21 3 Nm c V  mean translational kinetic energy of an ideal gas molecule, E = 3 2 kT displacement of particle in s.h.m., x = xo sin t velocity of particle in s.h.m., v = vo cos t =   22 oxx − electric current I = Anvq resistors in series, R = R1 + R2 +  resistors in parallel, 1/R = 1/R1 + 1/R2 +  electric potential, V = 4 o Q r alternating current/voltage, x = xo sin t magnetic flux density due to a long straight wire B = 2 o d   I magnetic flux density due to a flat circular coil B = 2 oN r  I magnetic flux density due to a long solenoid B = on I radioactive decay, x = xo exp(−t) decay constant,  = 12 ln2 t

4 Anglo-Chinese Junior College 2023 J2 H2 9749 Paper 1 Preliminary Examination 1 The derived unit for which of the following quantities can be expressed in four different SI base units? A electromotive force B momentum C magnetic flux density D power 2 A block initially moving on a smooth surface at constant speed, experiences a force that varies with time as shown. Which graph represents the variation with time of the speed of the block? A B C D

5 [Turn over Anglo-Chinese Junior College 2023 J2 H2 9749 Paper 1 Preliminary Examination 3 A drone descends from a height for 10 s. The variation with time of the vertical speed of the drone is shown. What is the ratio distance travelled between 0 s to 10 s distance travelled between 0 s to 5 s ? A 1.2 B 1.3 C 1.5 D 1.8 4 A 3.0 kg block is moving on a smooth surface with a speed of 2.0 m s–1. A constant force of 1.5 N is exerted on the block over 2.0 s in a fixed direction. Which of the following cannot be the magnitude of its final speed? A 0.5 m s–1 B 1.0 m s–1 C 2.0 m s–1 D 3.0 m s–1 5 A 5.0 kg block is placed on a rough slope inclined at an angle of 30° to the horizontal with a string attached to it as shown below. The tension in the string is 2.0 N and the frictional force exerted by the slope is 3.0 N. What is the magnitude of the acceleration of the block? A 3.9 m s–2 B 5.1 m s–2 C 5.9 m s–2 D 7.5 m s–2

6 Anglo-Chinese Junior College 2023 J2 H2 9749 Paper 1 Preliminary Examination 6 Diagram 1 shows two forces F acting on a circular disc of radius r. The disc is pivoted at a fixed point O which is the center of the disc. The forces give rise to a net moment M. Diagram 1 In diagram 2, the lines of action of forces are moved to new points. Diagram 2 What is the net moment now? magnitude direction A 4 M anti-clockwise B 4 M clockwise C 4 3 M anti-clockwise D 4 3 M clockwise

7 [Turn over Anglo-Chinese Junior College 2023 J2 H2 9749 Paper 1 Preliminary Examination 7 Three forces act on a body in various directions shown below. An additional force will be required for the system to be at equilibrium. What is the magnitude and direction of the additional force measured from line P? force direction A 57.7 N 9 o B 57.7 N 189 o C 153 N 68 o D 153 N 248 o 8 A motor with a constant output power pulls a wooden block vertically upwards from rest. Which of the following graphs best represents the variation with time t of the speed v of the block? A B C D

8 Anglo-Chinese Junior College 2023 J2 H2 9749 Paper 1 Preliminary Examination 9 Three identical slotted masses are placed at 2 R, 4 R and 6R respectively from the centre of a horizontal rough disc of radius 10R. The disc rotates about its centre O. Which statement is correct? A All three slotted masses experience the same centripetal force. B The slotted mass at 6R is most likely to move out of its circular path. C The slotted mass at 2R completes the least number of revolutions per unit time. D The slotted mass at 6R has three times the amount of kinetic energy as the slotted mass at 2R. 10 A binary star consists of two stars A and B. The two stars may be considered to be isolated in space. The centre of the two stars are separated by a constant distance d. Star A, of mass MA has a smaller mass than star B of mass MB, such that 0.2A B M M = . The stars are in circular orbits about each other such that the centre of their orbits is at a fixed point with orbital period T. Which row is correct? orbital radius of star A magnitude of gravitational force on star B A 5 6 d 2 2 10 3 AdM T  B 5 6 d 2 2 10 3 BdM T  C d 2 2 10 3 AdM T  D d 2 2 10 3 BdM T  11 The mean distance of the planet Saturn from the Sun is 9.5 times that of the mean distance of the Earth from the Sun. How long does it take Saturn to orbit the Sun? A 4.5 years B 29 years C 90 years D 860 years

9 [Turn over Anglo-Chinese Junior College 2023 J2 H2 9749 Paper 1 Preliminary Examination 12 A small ice cube of mass 30 g is heated. It changes from the solid state to the liquid state. During this change in state, the temperature of the substance does not change. Which statement about this change in state is not correct? A The internal energy of the molecules remains the same. B The kinetic energy of the molecules remains the same. C There is positive work done on the system as the ice melts. D The amount of energy the ice absorbs is not equal to the specific latent heat of fusion. 13 Planet Z has a mass 6.4 × 1023 kg and a diame