EJC Physics 2023 J2 H1 MYE PAPER 2

©EJC 2023 8867/J2H1MYE2023 [Turn over a EUNOIA JUNIOR COLLEGE JC2 MID YEAR EXAMINATIONS 2023 General Certificate of Education Advanced Level Higher 1 CANDIDATE NAME CIVICS GROUP 2 2 - REGISTRATION NUMBER PHYSICS Structured Questions 8867/02 26th June 2023 2 hours READ THESE INSTRUCTIONS FIRST Write your name, civics group and registration number on all the work you hand in. The use of an approved scientific calculator is expected where appropriate. Answer all questions. 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 paper clips, highlighters, glue or correction fluid. Section A Answer all questions from this section. Section B Answer the question from this section. The number of marks is given in brackets [ ] at the end of each question or part question. This document consists of 19 printed pages and 1 blank page. For Examiner’s Use Q1 10 Q2 6 Q3 6 Q4 7 Q5 7 Q6 14 Q7 10 Q8 20 P2 Total 80

2 ©EJC 2023 8867/J2H1MYE2023 Data Formulae uniformly accelerated motion = + ++ = + = + + =   2 22 12 12 1 2 2 11 1 s at u as R /R /R u v /R t RR resistors in series resistors in parallel speed of light in free space − − − − − − −− − × × = × × × = × = = = × = = = 81 19 27 31 e 27 p 23 1 A 11 2 2 2 3 00 1 60 9 11 1 10 m s 10 C 1 66 10 kg 10 kg 10 kg 6 02 10 mol 10 N m k 6 1 g m 7 s 7 66 98 c u . e. . . N G. g . m m . . elementary charge unified atomic mass constant rest mass of electron rest mass of proton the Avogadro constant gravitational constant acceleration of free fall

3 ©EJC 2023 9749/J2H2MYE2023 [Turn over Section A Answer all the questions in this section in the spaces provided. 1 (a) A smooth pebble, made from uniform rock, has the shape of an elongated sphere as shown in Fig. 1.1. Fig. 1.1 The length of the pebble is L. The cross-section of the pebble, in the plane perpendicular to L, is circular with a maximum radius r. A student investigating the density of the rock makes measurements to determine the values of L, r and the mass M of the pebble as follows: L = (0.1242 ± 0.0001) m r = (0.0420 ± 0.0004) m M = (1.072 ± 0.001) kg (i) State the name of a measuring instrument suitable for making this measurement of L. ……………………………………………………………………………………………….[1] (ii) Determine the percentage uncertainty in the measurement of r. percentage uncertainty = …………………………. % [1] (b) The density of ρ of the rock from which the pebble in (a) is composed is given by nMr kLρ = where n is an integer and k is a constant, with no units, that is equal to 2.094. (i) Use SI base units to show that n is equal to −2. [2]

4 ©EJC 2023 8867/J2H1MYE2023 (ii) Calculate the percentage uncertainty in ρ.