Cambridge IGCSE Physics 0625 — 2013 May/June Paper 6 · Variant 1

1 The IGCSE class is investigating the stability of a block of wood. For Examiner’s Figs. 1.1 and 1.2 show the dimensions of the block. Use w d A B h D C Fig. 1.1 Fig. 1.2 (a) (i) On Figs. 1.1 and 1.2, measure the height h, width w and depth d of the block. h = ...................................................... w = ...................................................... d = ...................................................... [2] (ii) On Fig. 1.2, draw the line AC. [1] (iii) Measure and record the angle α between lines AD and AC. α = ..................................................[1] (b) A student places the block on the edge of the bench, as shown in Fig. 1.3. For Examiner’s Use A B 0 10 20 30 40 50 60 C 70 D 80 90 100 110 120 130 140 bench protractor 150 180 170160 Fig. 1.3 He holds the protractor next to face ABCD of the block, as shown in Fig. 1.3. He gently pushes the top of the block (as indicated in Fig. 1.3) so that the block tips over. He records the angle θ between side BC of the block and the vertical line on the protractor. The angle θ is when the block just tips over. He repeats this procedure a suitable number of times. Suggest the number of measurements of θ that you think would be suitable for this experiment. number = ..................................................[1] (c) The student calculates the average value θav of all his values for θ. = ......................................................20° θav He suggests that θav should be equal to α. State whether the results support this suggestion. Justify your statement by reference to the results. statement ......................................................................................................................... justification ....................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... [2] [Total: 7]

Mark scheme: 1 (a) 9.7, 5.7, 2.0 (accept 2) or 97, 57, 20 [1] all given to correct unit [1] line AC drawn correctly, corner to corner [1] α = 18 – 20° [1] (b) number from 3 to 20 with no unit [1] (c) correct statement for results (expect Yes) [1] idea of within (or beyond) experimental accuracy [1] [Total: 7]

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2 The IGCSE class is investigating the scale of a thermometer. For Examiner’s (a) Record room temperature θR as shown on the thermometer in Fig. 2.1. Use °C -10 0 10 20 30 40 50 60 70 80 90 100 110 Fig. 2.1 θR = ..................................................[1] A student pours hot water into a beaker. She measures the temperature θ of the water in the beaker every 30 s. The readings are shown in Table 2.1. Table 2.1 t / θ/ d / 0 80 30 74 60 69 90 65 120 63 150 61 180 60 (b) (i) Using Fig. 2.2, measure, and record in the table, the distance d from the end of the thermometer to the position of the liquid in the thermometer at the first temperature reading in the table. d °C -10 0 10 20 30 40 50 60 70 80 90 100 110 Fig. 2.2 (ii) Repeat the measurement in (b)(i) for all the other temperature readings. [2] (iii) Complete the column headings in the table. [1] (c) The student plotted a graph of θ against d. A sketch of the graph obtained is shown in For Fig. 2.3. Examiner’s Use 80 Ƨ / °C 0 0 d / cm Fig. 2.3 (i) Explain how the graph line shows that θ is not directly proportional to d. .................................................................................................................................. ..............................................................................................................................[1] (ii) Suggest why, when θ = 0 °C, the value of d is not zero. .................................................................................................................................. .................................................................................................................................. .................................................................................................................................. [1] (d) Determine, as accurately as possible, the distance x between the 1 °C marks on the thermometer shown in Fig. 2.2. Show your working. x = ..................................................[3] [Total: 9]

Mark scheme: 2 (a) θR = 23(°C) [1] (b) table: d values 11.9, 11.3, 10.8, 10.4, 10.2, 10.0, 9.9 [1] all d values to nearest mm [1] s, oC, cm or mm [1] (c) (i) does not go through the origin [1] (ii) d not measured from 0 oC mark (o.w.t.t.e.) [1] (d) any l divided by any number of divisions [1] l value between 89 and 119 [1] x = 0.98 mm to 1.00 mm (with unit) [1] [Total: 9]

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3 The IGCSE class is investigating the resistance of a wire. For Examiner’s The circuit used is shown in Fig. 3.1. Use power supply A x A B C resistance wire V Fig. 3.1 A student moves contact C to give a range of values of the length x. For each length x, the current I and potential difference V are measured and recorded in Table 3.1. (a) (i) Calculate the resistance R of 10.0 cm of the resistance wire using the equation V R = I. Record this value of R in the table. (ii) Repeat step (i) for each of the other values of x. (iii) Complete the column headings in the table. Table 3.1 x / V / I / R / 10.0 0.20 0.33 30.0 0.60 0.33 50.0 1.01 0.32 70.0 1.41 0.33 90.0 1.81 0.33 [3] (b) Plot a graph of V / V (y-axis) against R / Ω (x-axis). For Examiner’s Use [5] (c) Determine the gradient G of the graph. Show clearly on the graph how you obtained the necessary information. G = ..................................................[3] [Total: 11]

Mark scheme: 3 (a) table: R values correct 0.61, 1.82, 3.16, 4.27, 5.48 [1] all R values to 2 or 3 significant figures [1] cm, V, A, Ω [1] (b) graph: axes correctly labelled [1] suitable scales [1] all plots correct to ½ small square [1] good line judgement [1] single, thin, continuous line [1] (c) triangle method shown on graph [1] using at least half of line [1] G = 0.31to 0.35 2 or 3 significant figures [1] [Total: 11] IGCSE – May/June 2013 0625 61

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4 The IGCSE class is investigating the position of the image in a plane mirror. For Examiner’s A student’s ray-trace sheet is shown in Fig. 4.1. Use N B M R P2 P3 C L D P1 P4 A ray-trace sheet eye Fig. 4.1 The line MR shows the position of a plane mirror. NL is the normal at the centre of the mirror. For Examiner’s AB marks the position of an incident ray. Use The student pushes two pins, P1 and P2 into this line. She views the images of pins P1 and P2 from the direction indicated by the eye in Fig. 4.1. She places two pins P3 and P4 some distance apart so that pins P4 and P3, and the images of P2 and of P1, all appear exactly one behind the other. The positions of P3 and P4 are labelled. (a) Draw in the line joining the positions of P3 and P4. Continue the line until it crosses MR and extends at least 8.0 cm beyond MR. [1] (b) The student repeats the procedure without moving pin P1 but using a different angle of incidence. On Fig. 4.1, the new positions of pins P3 and P4 are marked C and D. (i) Draw in the line joining the positions C and D. Continue the line until it extends at least 8.0 cm beyond MR. (ii) Label with a Y the point where the two lines beyond MR cross. [1] (c) (i) Draw a line from P1 to MR that meets MR at a right angle. Measure and record the length a of this line. a = ...................................................... (ii) Draw a line from the point labelled Y to MR that meets MR at a right angle. Measure and record the length b of this line. b = ...................................................... [2] (d) A student suggests that the length of a should equal the length of b. State whether your results support this suggestion. Justify your statement by reference to your results. statement ......................................................................................................................... justification ....................................................................................................................... .......................................................................................................................................... .......................................................................................................................................... [2] (e) Suggest a precaution that you would take, when placing the pins, in order to obtain reliable results. .......................................................................................................................................... ......................................................................................................................................[1] [Total: 7]

Mark scheme: 4 on ray trace: one line drawn accurately through P3P4 or CD [1] both lines in correct place, neat, thin and intersecting [1] normals Y to MR and P1 to MR correct [1] b = 55 – 65 (mm) [1] (d) statement matches results (expect Yes) [1] idea of within (or beyond) experimental accuracy [1] (e) any one from: large spaces between pins make sure pins are vertical observe bases of pins [1] [Total: 7]

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5 The IGCSE class is determining the mass of a load X using a balancing method. For Examiner’s Fig. 5.1 shows the apparatus. Use mass m d 50.0 cm mark load X metre rule pivot bench 90.0 cm mark Fig. 5.1 The centre of the load X is fixed at the 90.0 cm mark on the rule. A student uses a range of values of the mass m and determines the distance d from the pivot where the mass must be placed to balance the rule. The readings are shown in Table 5.1. Table 5.1 m / g d / cm 40 30.2 50 23.9 60 20.0 70 17.1 80 15.1 (a) Calculate the distance x between the centre of the load X and the centre of the rule. x = ..................................................[1] (b) Suggest a reason for the student using a range of m values. .......................................................................................................................................... .......................................................................................................................................... ......................................................................................................................................[1] (c) Using each set of readings and the value of x, the student calculates values for the For mass of the load X. Examiner’s Use He writes his results: 30.2 g, 29.875 g, 30 g, 29.925 g, 30.2 g. Use these results to calculate an average value for the mass of X and give it to a suitable number of significant figures for this type of experiment. average value for the mass of X = ..................................................[2] (d) This type of balancing experiment is difficult to carry out. Suggest one practical difficulty and one way to try to overcome the difficulty. You may draw a diagram, if you wish. practical difficulty ............................................................................................................. .......................................................................................................................................... .......................................................................................................................................... way to overcome the difficulty .......................................................................................................................................... .......................................................................................................................................... [2] [Total: 6]

Mark scheme: 5 (a) 40.0 or 40(cm) [1] (b) accuracy / reliability / check readings / spot anomaly / o.w.t.t.e. [1] (c) correct method used [1] 30 or 30.0(g) [1] (d) rule never quite balances, o.w.t.t.e. [1] take average position / nearest to balance, o.w.t.t.e. [1] [Total: 6]

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