2025 RI H2 Physics Prelims P2 Questions

This document has 23 pages. RAFFLES INSTITUTION PRELIMINARY EXAMINATION 2025 Higher 2 CANDIDATE NAME CLASS INDEX NUMBER CLASS 2 5 S 0 PHYSICS Paper 2 Structured Questions 9749/02 17 September 2025 2 hours You must answer on the question paper. No additional materials are needed. INSTRUCTIONS • Answer all questions. • Use a black or dark blue pen. You may use an 2B pencil for any diagrams or graphs. • Write your name, index number and class in the spaces at the top of the page. • Write your answer to each question in the space provided. • Do not use an erasable pen. Do not use correction fluid or tape. • You may use an approved calculator. INFORMATION • The total mark for this paper is 80. • The number of marks for each question or part question is shown in brackets [ ]. For Examiner’s Use 1 / 6 2 / 6 3 / 9 4 / 10 5 / 8 6 / 9 7 / 12 8 / 20 Deduction Total / 80

2 © Raffles Institution 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 s = 21 2ut at+ 2v = 2 2u as+ work done on/by a gas W = pV hydrostatic pressure p = ρgh gravitational potential  = Gm r− temperature T / K = / C 273.15T + pressure of an ideal gas p = 21 3 Nm cV mean translational kinetic energy of an ideal gas molecule E = 3 2 kT displacement of particle in s.h.m. x = 0 sinxt  velocity of particle in s.h.m. v = 0 cosvt  22 0xx=  − electric current I = Anvq resistors in series R = 12 RR++ resistors in parallel 1/R = 121 1 RR++ electric potential V = 4 Q r  alternating current/voltage x = 0 sinxt  magnetic flux density due to a long straight wire B = 0 2 d   I magnetic flux density due to a flat circular coil B = 0 2 N r  I magnetic flux density due to a long solenoid B = 0n I radioactive decay x = ( )0 expxt − decay constant  = 12ln2 t

3 © Raffles Institution [Turn over Answer all the questions in the spaces provided. 1 Fig. 1.1 shows a cuboid made of glass. Fig. 1.1 A student measures the mass m of the cuboid and the side lengths a, b and c. The measurements are shown in Table 1.1. Table 1.1 quantity measurement m (0.234  0.002) kg a (5.13  0.01) cm b (11.38  0.01) cm c (1.72  0.01) cm (a) Determine the density  of the glass.  = kg m–3 [1] (b) Determine the value of  together with its actual uncertainty. Give your answer to an appropriate number of significant figures.  =  kg m–3 [3] c a b

4 © Raffles Institution (c) The true value of the density of the glass is different from the answer in (a) because of a systematic error in the measurements. Suggest one possible cause of this systematic error. [2] [Total: 6]

5 © Raffles Institution [Turn over 2 A cantilever is set up on a rough table using a rigid uniform metre rule of mass 0.11 kg, a 1.5 kg block and a 5.0 g mass as shown in Fig. 2.1. Fig. 2.1 (a) Determine the maximum number of 5.0 g masses that can be stacked above point X such that the cantilever does not topple. maximum number = [3] 1.5 kg 0.80 m 0.10 m table X block 5.0 g mass

6 © Raffles Institution (b) The structure in Fig . 2.1 is modified by adding a n inextensible string that passes over a frictionless pulley with its ends tied to the 1.5 kg block and to the centre of the metre rule as shown in Fig. 2.2. The string remains taut. Fig. 2.2 State and explain how this modification will affect your answer in (a). [3] [Total: 6] 5.0 g mass pulley 0.10 m table 1.5 kg 0.80 m 60o string

7 © Raffles Institution [Turn over 3 In a machine, a peg that is fixed to a wheel rotates in a vertical circle of radius r. Both the peg and the wheel rotate with a constant angular velocity  and period T about the centre of wheel O. The peg is in contact with a horizontal slot in a yoke. As the peg undergoes uniform circular motion, the yoke of mass m moves vertically up and down within a well. Fig. 3.1 shows the positions of the peg and yoke at different times t. Fig. 3.1 v horizontal slot yoke peg wheel well O path of peg    r  r r r

8 © Raffles Institution (a) State and explain the motion of the yoke. [2] (b) Given that r = 0.080 m, T = 0.40 s and m = 0.30 kg, determine: (i) 1. the maximum speed v0 of the yoke v0 = m s−1 [2] 2. the maximum acceleration a0 of the yoke. a0 = m s−2 [2] (ii) On Fig. 3.2, sketch a line to show the variation of net force F on the yoke with time t. Take the equilibrium position of the yoke as the zero of displacement and the upwards direction as positive. Fig. 3.2 [3] [Total: 9] t / s F / N 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 | | | | | | | | | | 0

9 © Raffles Institution [Turn over 4 Polarised light of wavelength 590 nm is incident normally on a double slit, as shown in Fig. 4.1. Fig. 4.1 (not to scale) The separation of the two slits of equal width is very small compared to the distance of 3.00 m between the slits and the screen. The double slit and the screen are parallel. An interference pattern consisting of bright and dark fringes is observed on the screen. Point P is equidistant from both slits. (a) (i) Explain how the bright and dark fringes are formed. [3] (ii) Explain why some bright fringes are observed to be missing from the interference pattern. [1] double slit 3.00 m screen polarised light P

10 © Raffles Institution (b) One of the two slits is covered. (i) The distance between the first dark fringes on either side of point P on the screen is 35.4 mm. Determine the width of each slit. width = mm [3] (ii) Parallel light from a second source of the same wavelength of 590 nm is also incident on the uncovered slit. The angle between the two beams of light is 0.0040 rad, as shown in Fig. 4.2. Fig. 4.2 (not to scale) Each beam forms a separate diffraction pattern on the screen. With reference to the Rayleigh criterion, explain whether the two diffraction patterns formed on the screen are seen as being separate. [3] [Total: 10] uncovered slit 3.00 m screen 0.0040 rad