TJC 2023 H2 Prelim Paper 4

TEMASEK JUNIOR COLLEGE 2023 JC2 PRELIMINARY EXAMINATION Higher 2 NAME CG PHYSICS PAPER 4 Candidates answer on the Question Paper. 9749/04 30 August 2023 2 hours 30 minutes READ THESE INSTRUCTIONS FIRST Write your name and C.G. in the spaces provided at the top of this page. Write in dark blue or black pen on both sides of the papers. You may use an HB pencil for any diagrams, graphs or rough working. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. Write your answers in the spaces provided in this booklet. The use of an approved scientific calculator is expected, where appropriate. You may lose marks if you do not show your working or if you do not use appropriate units. Give details of the practical shift and laboratory where appropriate in the boxes provided. 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. Shift Laboratory For Examiner’s Use 1 /12 2 / 9 3 /22 4 /12 TOTAL /55 This booklet consists of 16 printed pages

2 1 In this experiment, you will investigate the motion of a small container in water. (a) You have been provided with two glass marbles and a small container with a separate lid. The dimensions of the glass marbles and the small container are shown in Fig. 1.1. Fig 1.1 (i) Measure and record the diameter d of the marble. d = [1] (ii) Measure and record the height h and the inner diameter D of the small container. h = D = [1] (b) (i) Place the small container in the tray. Fill the small container with water. You may use the beaker to transfer water. (ii) Place one glass marble in the small container. Wait until the water has stopped overflowing. Place the lid on the small container. (iii) The fraction x of glass in the small container is given by where n is the number of marbles in the small container. Calculate x. x = [1]

3 (c) (i) Place the small container containing water and the marble in the cylinder as shown in Fig. 1.2. Fig. 1.2 (ii) Release the small container and measure the time t taken for it to fall to the bottom of the cylinder. t = [1] (iii) Estimate the percentage uncertainty in your value of t. percentage uncertainty = [1] (iv) Justify the number of significant figures that you have given for your value of x. [1]

4 (d) Repeat (b), (c)(i) and (c)(ii) using two marbles. x = [1] t = [1] (e) It is suggested that the relationship between t and x is 2  kt x where k is a constant. (i) Using your data, calculate two values of k. first value of k = second value of k = [1] [1] (ii) State whether the results of your experiment support the suggested relationship. Justify your conclusion by referring to your value in (c)(iii).

5 (f) (i) State one significant sources of error in this experiment. [1] (ii) Suggest an improvement that could be made to the experiment to address one of the sources of error identified in (f)(i). You may suggest the use of other apparatus or a different procedure. [1] [Total : 12 marks]

6 2 In this experiment, you will investigate how the voltage across components in a circuit varies as the resistance of the circuit is changed. (a) (i) Set up the circuit as shown in Fig. 2.1. Fig 2.1 Attach the crocodile clips to the wire so that the distance x is approximately 20 cm. (ii) Measure and record x. x = [1] (b) (i) Close the switch. (ii) Record the voltmeter readings V1 and V2. V1 = V2 = [1] (iii) Open the switch. 20  10 

7 (c) Change x and repeat (a)(ii) and (b) until you have five sets of readings of x, V1 and V2 till x = 90 cm. Include values of in your table. [2] (d) (i) Plot a graph of against x. [2] [2] (ii) State the relationship between and x based on your graph. [1] (iii) On the same axes of your graph in (d) (i), draw another line to represent the experimental results if the experiment is repeated using a thinner wire of the same material. Label this line Z. [2] [Total : 9 marks] 0 20 40 60 80 100 x / cm  [2]

8 3 In this experiment, you will investigate a metre rule rocking on a beaker. (a) Assemble the apparatus as shown in Fig. 3.1 with the beaker placed horizontally. The centres of each of the two masses should be at the same distance r from the centre of the metre rule, where r is approximately 30 cm. (b) (i) Measure and record the distance r. r = [1] (ii) Explain how you measured r accurately. [2] (iii) Adjust the position of the metre rule on the beaker so that the metre rule is balanced and approximately parallel to the bench. Fig. 3.1

9 (c) (i) Hold down the end of the metre rule on A, as shown in Fig. 3.2. (ii) Release the metre rule and measure and record the time T for it to move up and then down again to its lowest position, as shown in Fig. 3.2. T = s [1] Fig. 3.2

10 (d) Reposition the two masses at a different distance r from the centre of the metre rule and repeat (b)(i), (iii) and (c) to obtain further sets of values for r and T. Present your results in a table. [6] (e) Theory suggests that T and r are related by the equation T3 = ar2 + b where a and b are constants. Plot a suitable graph to determine the values of a and b. Give appropriate units to your values. a = b = [7] (f) Comment on any anomalous data or result that you may have obtained. Explain your answer. [1]