YIJC 2023 H2Phy Prelim P3 Question Paper

©YIJC [Turn over YISHUN INNOVA JUNIOR COLLEGE JC 2 PRELIMINARY EXAMINATION Higher 2 CANDIDATE NAME CG INDEX NO PHYSICS Paper 3 Longer Structured Questions Candidates answer on the Question Paper. No Additional Materials are required. 9749/03 15 September 2023 2 hours READ THESE INSTRUCTIONS FIRST This document consists of 23 printed pages and 1 blank page. For Examiner’s Use Paper 3 Section A 1 /10 2 /10 3 /8 4 /10 5 /10 6 /12 Section B 7 /20 8 /20 Penalty /80 Write your name and class in the spaces at the top of this page. 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, paper clips, highlighters, glue or correction fluid/tape. The use of an approved scientific calculator is expected, where appropriate. Section A Answer all questions. Section B Answer any one question. You are advised to spend one and a half hours on S ection A and half an hour on Section B. At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question.

©YIJC 9749/03/YIJC/PRELIM/2023 [Turn over 2 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 Formulae uniformly accelerated motion, s = ut + 2 1 at2 v2 = u2 + 2as work done on/by a gas, W = p  V hydrostatic pressure, p =  g h gravitational potential,  = r Gm− temperature, T/K = T/°C + 273.15 pressure of an ideal gas, p = 2CV Nm 3 1 mean translational kinetic energy of an ideal gas molecule, E = kT2 3 displacement of particle in s.h.m. x = xo sin  t velocity of particle in s.h.m., v = vo cos  t =   )( 22 xxo − electric current, I = A n v q resistors in series, R = R1 + R2+………. resistors in parallel, R 1 = ........11 21 ++ RR electric potential, V = r Q o4 alternating current/voltage, x = xo sin  t magnetic flux density due to a long straight wire, B = dπ2 oIμ magnetic flux density due to a flat circular coil, B = r2 No Iμ magnetic flux density due to a long solenoid, B = Ion radioactive decay, x = xo exp(–t) decay constant,  = 2 1t 2 ln

©YIJC 9749/03/YIJC/PRELIM/2023 [Turn over 3 Section A Answer all questions in the spaces provided. 1 (a) State the principle of conservation of momentum. …………………..……………………………………………………..……..…….………….. …………………………..…………………………………………...……….…..……………. …………………………………..……………………………………..……..…….………….. [2] (b) Two balls, X and Y, move along a horizontal surface frictionless surface, as shown i n Fig. 1.1. Fig. 1.1 Fig. 1.2 Ball X has a mass of 4.0 kg and a velocity of 4.2 m s−1 in a direction at angle θ to a line AB. Ball Y has a mass of 2.8 kg and a velocity of 6.0 m s−1 in a direction at angle θ to a line AB. The balls collide and stick together. After colliding, the balls have a velocity of 3.7 m s −1 along the line AB on the horizontal surface, as shown in Fig. 1.2. The duration of collision is 3.0 ms. (i) By considering the components of the momenta along the line AB, determine θ. θ = …………………..  [2] 4.2 m s−1 6.0 m s−1 X 4.0 kg Y 2.8 kg 3.7 m s−1

©YIJC 9749/03/YIJC/PRELIM/2023 [Turn over 4 (ii) Determine the impulse experienced by ball X along the direction perpendicular to line AB. impulse = ………………….. N s [2] (iii) Given that balls X and Y moves along line AB after collision, explain why the value of the angle θ for ball X and Y must be the same. …………………………………………………………………..……..…….………….. ………………………………………………………………...……….…..……………. …………………………………………………………………..……..…….………….. ………………………………………………………………...……….…..……………. [2] (iv) With calculations, state and explain whether the collision of the balls is elastic or inelastic collision. [2] [Total: 10]

©YIJC 9749/03/YIJC/PRELIM/2023 [Turn over 5 2 (a) (i) State 2 assumptions that the kinetic theory of gases makes about any ideal gas. …………………………………………………………………..……..…….………….. ………………………………………………………………...……….…..……………. …………………………………………………………………..……..…….………….. ………………………………………………………………...……….…..……………. [2] (ii) A fixed mass of gas can be compressed into a smaller volume, such as when an inflated balloon is squeezed. Using the kinetic theory of gases, explain why the pressure exerted by the gas on its container wall increases when its volume is reduced at constant temperature. …………………………………………………………………..……..…….………….. ………………………………………………………………...……….…..……………. …………………………………………………………………..……..…….………….. ………………………………………………………………...……….…..……………. [2] (b) The p – V diagram in Fig. 2.1 shows one cycle of changes applied to a fixed mass of gas in a petrol engine. Fig. 2.1 The cycle starts at A with the gas at a volume of 2.0  10−3 m3, temperature of 200 K and pressure of 1.5  105 Pa. From A to B, when it is compressed to a volume of 0.45  10−3 m3, the pressure and temperature rises to 12  105 Pa and 360 K respectively.

©YIJC 9749/03/YIJC/PRELIM/2023 [Turn over 6 (i) Assuming that the gas is an ideal gas, determine the number of moles in the fixed mass of gas. number of moles = ………………….. mol [1] (ii) Given that the mass of one gas molecule is 40u, calculate the r.m.s. speed of the gas molecules at state A. r.m.s. speed = ………………….. m s−1 [2] (iii) From C to D, the gas expands to its original volume and 50 J of heat is lost. The temperature of the gas at D is 400 K. Calculate the work done in this process, stating clearly whether work is done on or by the gas. work done = ………………….. J work is done ……………….(on/by) the gas [3] [Total: 10]

©YIJC 9749/03/YIJC/PRELIM/2023 [Turn over 7 3 (a) Define simple harmonic motion. ………………………………………………..……………………...……….…..……………. ………………………………………………..……………………...……….…..……………. ………………………………………………..……………………...……….…..……………. [1] (b) A needle-carrier is used in a sewing machine to constrain the movement of the needle to a vertical line only. Low friction guides are used to achieve this. The simple harmonic motion of the needle-carrier is produced by a rotating disc carrying a peg which moves in a circle and engages with a slot attached to the needle carrier, as shown in Fig. 3.1 below. Fig. 3.1 (i) Show that the angular speed of the disc's circular motion that results in the peg having an oscillation frequency of 12 Hz is 75 rad s−1. [1] (ii) The carrier and needle have a combined mass of 25 g and the needle's