Cambridge IGCSE Physics (9-1) 0972 — 2024 May/June Paper 5 · Variant 1

1 In this experiment, you will investigate the stretching of a spring. Refer to Fig. 1.1. spring metre ruler clamp stand bench Fig. 1.1 (a) The metre ruler is clamped in position near to the spring. Do not change the position of the metre ruler. (i) Measure the unstretched length l0 of the spring. Record l0 in cm in Table 1.1. Do not include the loops at the ends of the spring in your measurement. The value l0 is the length of the spring when the load L is 0.00 N. [1] (ii) Describe one technique you use to obtain an accurate value for l0. You may draw a diagram. ........................................................................................................................................... ........................................................................................................................................... ..................................................................................................................................... [1] (b) • Suspend a load L = 1.00 N from the spring. • Measure and record the new length l of the spring in Table 1.1. • Calculate the extension e of the spring using the equation e = (l – l0). • Record the value of e in Table 1.1. • Repeat the procedure using loads L = 2.00 N, 3.00 N, 4.00 N and 5.00 N. • Record all the readings and results in Table 1.1. Table 1.1 L / N l / cm e / cm 0.00 0 1.00 2.00 3.00 4.00 5.00 [3] (c) Plot a graph of L / N (y-axis) against e / cm (x-axis). Start both axes at the origin (0, 0). Draw the best-fit line. 00 [4] (d) Determine the gradient G of the graph. Show all your working and indicate on the graph the values you use. G = ......................................................... [2] [Total: 11]

Mark scheme: 1(a)(i) 1 1(a)(ii) keep ruler close to spring OR use a set square (or pointer) OR view scale at right angles OR lay spring on bench OR use calipers 1 1(b) l values increasing and  l0 1 e values correct 1 all l and e values to nearest mm 1 1(c) graph:  axes correctly labelled and right way round 1  appropriate scales (plots occupying at least ½ grid between plotted points) 1  plots all correct to ½ small square and precise plots 1  well-judged line and thin line 1 1(d) triangle method clearly shown on graph 1 using at least half of distance between extreme plots 1

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2 In this experiment, you will investigate the resistance of a wire. Refer to Fig. 2.1. A d B C resistance V sliding wire contact S Fig. 2.1 (a) Close the switch. Measure the current I in the circuit. Include the unit. I = ......................................................... [1] (b) Place the sliding contact S at a distance d = 50.0 cm from B. (i) Measure the potential difference (p.d.) V50 across length d of the resistance wire. Include the unit. Open the switch. V50 = ......................................................... [1] (ii) Calculate the resistance R50 of 50.0 cm of the resistance wire using the equation V50 R50 = I . Include the unit. R50 = ......................................................... [1] (iii) Calculate r1, a value for the resistance per cm of the resistance wire, using the equation R50 r1 = , where d = 50.0 cm. Include the unit. d r1 = ......................................................... [2] (c) Close the switch. R75 Repeat the procedure in (b) using d = 75.0 cm and calculate r2 using the equation r2 = . d Open the switch. V75 = ............................................................... R75 = ............................................................... r2 = ............................................................... [1] (d) A student suggests that the resistance per cm of the resistance wire is constant. (i) State whether your results support this suggestion and justify your statement by reference to the results. statement .......................................................................................................................... justification ........................................................................................................................ ........................................................................................................................................... ........................................................................................................................................... [2] (ii) The student plans to plot a graph of resistance R against length d to test the suggestion. Suggest suitable additional values of length d to use. ..................................................................................................................................... [2] (e) A variable resistor is a circuit component that can be made using a coil of resistance wire. Draw the electrical symbol for a variable resistor. [1] [Total: 11]

Mark scheme: 2(a) 1 2(b)(i) V to at least 1 decimal place and  3 V 1 2(b)(ii) units V and A seen correctly used in (a) and (b) 1 2(b)(iii) correct calculation of r1 1 unit  / cm 1 2(c) new set of results present with r2 value within 10% of r1 1 2(d) statement to match results 1 justification to match statement and results. 1 2(e) at least three additional values 1 all values quoted are more than 0 and up to 100 cm 1 2(f) correct symbol for variable resistor 1

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3 In this experiment, you will investigate the image produced by a lens. Refer to Fig. 3.1 and Fig. 3.2. illuminated object u v screen lens bench Fig. 3.1 hO Fig. 3.2 (a) Measure the height hO of the illuminated object. Fig. 3.2 shows the height to measure on the illuminated object provided. hO = ......................................................... [2] (b) • Place the lens a distance u = 20.0 cm from the illuminated object. • Adjust the position of the screen until a focused image is formed on the screen. Measure the distance v between the centre of the lens and the screen. v = .................................................... cm [1] uv (c) Calculate the focal length f of the lens using the equation f = (u + v). f = .................................................... cm [3] (d) • Place the lens at a distance d = 2f from the illuminated object. • Place the screen at a distance s = 4f from the illuminated object. • Adjust the position of the screen until a focused image is formed on the screen. Record the distance d. d = ............................................................... Measure the distance x between the lens and the screen. x = ............................................................... [2] (e) Measure the height hI of the image. hI = ......................................................... [2] (f) In this type of experiment, it can be difficult to judge the screen position that produces the clearest image. Suggest one precaution or technique to overcome this difficulty. ................................................................................................................................................... ................................................................................................................................................... ............................................................................................................................................. [1] [Total: 11]

Mark scheme: 3(a) 1.4 – 1.6 (or 14 – 16) 1 matching unit (cm or mm) 1 3(b) realistic value for v 1 3(c) correct calculation of f 1 2 or 3 significant figures 1 14 – 16 (cm) 1 3(d) d = 2f ( 1 cm) 1 x = 2f ( 1 cm) 1 3(e) value given for hI with unit 1 hI = hO to within 10% 1 3(f) darkened room / bright object OR move screen slowly / back and forth / approach clearest position from both directions (and average) 1

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4 A student investigates the bending of composite strips of wood when they are loaded at one end. The composite strips are made from identical layers of wood stuck together, as shown in Fig. 4.1. Plan an experiment to investigate how much composite strips bend when they are loaded at one end. Fig. 4.2 shows the set-up the student uses. The student has a number of composite strips made with two or more layers of wood. You are not required to do this investigation. wood adhesive Fig. 4.1 clamp composite bench strip floor Fig. 4.2 In your plan: • state the variable that you are testing • list any additional apparatus that you would use • explain briefly how to do the investigation • state the key variables to keep constant • draw a table, or tables, with column headings, to show how to display your readings (you are not required to enter any readings in the table) • explain how to use your readings to reach a conclusion. .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .......................................................................................................................................................... .................................................................................................................................................... [7]

Mark scheme: 4 MP1 additional apparatus: (metre) ruler / tape (measure) 1 MP2 method mark 1: add a load and measure the amount of bending 1 MP3 method mark 2: repeat with a different load applied OR different length (overhanging) OR a different number of layers of wood in composite strip 1 MP4 variable kept constant: load (if varying length mentioned in MP3) OR length (if varying load mentioned in MP3) 1 MP5 variable kept constant: number of layers of wood 1 MP6 table: with clear columns for deflection with matching unit and for chosen variable – all with quantity and unit (or no unit for number of strips) 1 MP7 conclusion: plot graph of deflection against chosen variable OR graph / bar chart of deflection against number of layers OR an answer which suggests comparing values in table of chosen variable and deflection 1

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