2024 HCI H2 Physics Paper 3 Question Paper

This paper consists of 31 printed pages, including 2 BLANK pages. HWA CHONG INSTITUTION JC2 Preliminary Examination Higher 2 CANDIDATE NAME CT GROUP 23S CENTRE NUMBER INDEX NUMBER PHYSICS Paper 3 Longer Structured Questions Candidates answer on the Question Paper. No Additional Materials are required. 9749/03 13 September 2024 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 A 1 5 2 8 3 8 4 8 5 9 6 8 7 8 8 6 Section B (choose ONE) 9 20 10 20 Deductions Total 80

2 © Hwa Chong Institution 9749 / 03 / Preliminary Examination 2024 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 / 03 / Preliminary Examination 2024 Section A Answer all questions in the spaces provided. 1 (a) Distinguish between random error and systematic error in a set of measurements of a physical quantity. ……………………………………………………………………………………………………… ……………………………………………………………………………………………………… ……………………………………………………………………………………………………… ……………………………………………………………………………………………………… [2] (b) The power P required by a car to overcome the drag force acting on it when it is travelling at a speed v in turbulent condition is given by the equation pqPk Av= where A is the frontal area of the car and  is the density of the air. Given that k is a quantity with no units, determine the values of p and q. p = ………………… q = ………………… [3] [Total: 5]

4 © Hwa Chong Institution 9749 / 03 / Preliminary Examination 2024 2 (a) Define acceleration. ……………………………………………………………………………….…………………….. [1] (b) Two projectile launchers are facing each other on horizontal ground as shown in Fig 2.1. Launcher P fires a projectile at an angle of 30 o from the horizontal, at an initial speed of 210 m s-1. Air resistance is negligible. (i) Determine the maximum height the projectile fired from launcher P reaches. maximum height = ………………. m [2] (ii) Determine the time of flight for the projectile to reach this maximum height. time of flight = ………………. s [2] Fig. 2.1 Launcher P Launcher Q 30 ° 60 °

5 © Hwa Chong Institution 9749 / 03 / Preliminary Examination 2024 (iii) A short time after launcher P fires, launcher Q too fires a projectile at an initial speed of 210 m s-1 and an angle of 60o from the horizontal. Both projectiles collide when the projectile from launcher P reaches its maximum height. 1. Show that the projectile from launcher Q has been in flight for 3.4 s when the two projectiles collide. [1] 2. Fig. 2.2 shows the variation of the vertical velocity with time of the projectile from launcher P from its launch to when it has reached its highest point. On Fig. 2.2, sketch another graph to show the variation of the vertical velocity with time of the projectile from launcher Q. [2] [Total: 8] vertical velocity / m s -1 time / s Fig. 2.2

6 © Hwa Chong Institution 9749 / 03 / Preliminary Examination 2024 3 Fig. 3.1 shows a thick glass cup submerged in water. The glass has a density of 2200 kg m -3 and displaces 6.8 x 10 -5 m3 of water when it is submerged as in Fig 3.1. Water has density 1000 kg m-3. The glass cup is held stationary by an external force F. (a) (i) Explain why the liquid exerts an upthrust on the cup. ……………………………………………………………………………………………….. ……………………………………………………………………………………………….. ……………………………………………………………………………………………….. [2] (ii) By considering the forces acting on the cup, show that the external force F needed to keep the cup stationary is 0.80 N. [2] (iii) The cup is pushed further down into the water. Explain how the upthrust acting on the cup will change. ……………………………………………………………………………………………….. ……………………………………………………………………………………………….. [1] Fig. 3.1 Fully submerged cup water

7 © Hwa Chong Institution 9749 / 03 / Preliminary Examination 2024 [Total: 8] (b) Fig. 3.2 shows the same glass cup now inverted and held right at the surface of the water. When placed this way, 5.50 × 10-4 m3 of air is contained within the cup at a tmospheric pressure of 1.0 × 105 Pa. The cup is then pushed slowly into the water, trapping and compressing the air within the cup, as shown in Fig. 3.3. The cup is again held stationary by an external force such that the water surface is at a distance d abov