2023 HCI H2 PH Prelim P3B QP

This document consists of 11 printed pages. HWA CHONG INSTITUTION JC2 Preliminary Examination Higher 2 CANDIDATE NAME CT GROUP 22S CENTRE NUMBER INDEX NUMBER PHYSICS Paper 3 Longer Structured Questions SECTION B BOOKLET Candidates answer on the Question Paper. No Additional Materials are required. 9749/03 18 September 2023 2 hours INSTRUCTIONS TO CANDIDATES Write your Centre number, index number, name and CT class clearly on all work you hand in. Write in dark blue or black pen on both sides of the paper. You may use an HB pencil for any diagrams or graphs. Do not use staples, paperclips, highlighters, glue or correction fluid. The use of an approved scientific calculator is expected, where appropriate. Section A Answer all questions. Section B Answer one question only. Circle the question number on the cover page. You are advised to spend one and a half hours on Section A and half an hour on Section B. The number of marks is given in brackets [ ] at the end of each question or part question. You are reminded of the need for good English and clear presentation in your answers. For Examiner’s Use SECTION B (circle 1 question) 8 20 9 20 Deductions

2 © Hwa Chong Institution 9749 / 03B / C2 Preliminary Examinations 2023 Data Formulae speed of light in free space, c = 3.00  10 8 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 m 2 kg −2 acceleration of free fall, g = 9.81 m s −2 uniformly accelerated motion work done on / by a gas hydrostatic pressure gravitational potential temperature pressure of an ideal gas mean translational kinetic energy of an ideal gas molecule displacement of particle in s.h.m. velocity of particle in s.h.m. electric current resistors in series resistors in parallel electric potential alternating current / voltage 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 decay constant s = ut + 2 1 at2 v 2 = u 2 + 2as W = p V p = gh  = − Gm r T/K = T/C + 273.15 p = 21 3 Nm cV  kTE 2 3= x = x0sint v = v0cost = 22 0()xx− I = Anvq R = R1 + R2 + . . . 1/R = 1/R1 + 1/R2 + . . . V = Q 40r x = x0sint B = 0I 2d B = 0NI 2r B = 0nI x = x0 exp(−t )  = ln 2 t 1 2

3 © Hwa Chong Institution 9749 / 03B / C2 Preliminary Examinations 2023 Section B Answer one question from this Section in the space provided. 8 (a) State the conditions required for a body to be in equilibrium. ……………………………………………………………….……………………………………………. …………………………………………………………………………………………………………. [2] (b) A uniform beam AB of mass 1.5 kg is placed on a horizontal bench and held in equilibrium by a support cable. The beam is at an angle of 42o to the horizontal bench and the support cable is at an angle of 25o to the horizontal platform, as shown in Fig. 8.1. Fig. 8.1 (not drawn to scale) (i) On Fig. 8.1, draw the forces acting on the beam. [2] (ii) Show that the magnitude of tension T exerted on the beam by the cable is 5.94 N. [2] 25 o bench platform tension T A B beam support cable 42o

4 © Hwa Chong Institution 9749 / 03B / C2 Preliminary Examinations 2023 (iii) Determine the force exerted on the beam by the bench. magnitude = …………………. N [3] direction = ………………………………………………… [1] (c) In a child’s toy, a small ball moves along a smooth track. The ball moves down a straight slope and then travels around a vertical circular loop, as shown in Fig. 8.2 The loop has diameter of 34 cm. The slope has a length of 58 cm and is inclined at an angle of 42o to the horizontal. Initially, the ball is at rest at the top of the slope. Fig 8.2 (i) Calculate the acceleration of the ball moving down the slope. acceleration = …………………. m s-2 [2] 58 cm 34 cm 42o

5 © Hwa Chong Institution 9749 / 03B / C2 Preliminary Examinations 2023 (ii) State and explain what happens to the acce leration of the ball moving down the slope when it is replaced with another ball of the same size but twice the original weight. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. ……………………………………………………………………………………………….... [2] (iii) Determine whether the ball is able to make a complete loop around the circular track when released at the top of the slope. Show your working clearly. Assume there is negligible air resistance and friction between the slope, the bench and the circular track with the ball. …………………………………………………………………………………………………….. …………………………………………………………………………………………………….. …………………………………………………………………………………………………. [4]

6 © Hwa Chong Institution 9749 / 03B / C2 Preliminary Examinations 2023 (iv) Fig. 8.3 The ball is now released from a new position as shown in Fig. 8.3. Describe the subsequent path of the ball. …………………………………………………………………………………………………….. ……………………………………………………………………………………………………. ………………………………………………………………………………………………… [2] [Total: 20] 34 cm 58 cm 42o

7 © Hwa Chong Institution 9749 / 03B / C2 Preliminary Examinations 2023 9 (a) Define magnetic flux linkage. ……………………………………………………………………………………………………………. ……………………………………………………………………………………………………………. …………………………………………………………………………………………………...…… [2] (b) A solenoid of length 30.0 cm is wound evenly with 900 turns of insulated wire. The cross - sectional area of the solenoid is 3.2 x 10–4 m2. A flat coil having 250 turns of wire is wound tightly around the centre of the solenoid. A resistor of 35 Ω is connected to the coil as illustrated in Fig. 9.1. (i) At a particular instant in time, the current through the solenoid is 2.0 A. Show that the magnetic flux through the coil is 2.41 x 10-6 Wb at that instant. [2] Fig. 9.1 solenoid of length 30.0 cm and 900 turns flat coil 250 turns 35 Ω resistor

8 © Hwa Chong Institution 9749 / 03B / C2 Preliminary Examinatio