Physics 2024 · Oct/Nov

Fig. 1.1 shows a coil made from resistance wire. The coil is placed in cooking oil of mass m. The total length of the resistance wire in the oil is L. A potential difference V is applied to the coil. The temperature of the oil increases by Δ θ in time t. where A is the cross-sectional area of the wire, and K and Z are constants. Plan a laboratory experiment to test the relationship between Δ θ and L. Draw a diagram showing the arrangement of your equipment. Explain how the results could be used to determine values for K and Z. In your plan you should include: lTTTTuTTTTTTTil Diagram lTTTTuTTTTTTTsl lTTTTuTTTTTTT l

A student investigates the refraction of white light entering a transparent rectangular block. A narrow beam of light enters the block at the midpoint of one of the shorter sides. The angle of incidence θ is measured, as shown in Fig. 2.1. block beam of light Fig. 2.1 (not to scale) The distance d between the corner of the block and the point where the beam of light touches the boundary of the block is measured. The experiment is repeated for different values of θ . It is suggested that d and θ are related by the equation sin where B and n are constants. on the y-axis againstsin on the x-axis. Determine expressions for the gradient and y-intercept. gradient = y-intercept = [1] * 0000800000005 * lTTTTuTTTTTTTdl

Values of θ ,sin and d are given in Table 2.1. Table 2.1sin / cm 28.5 4.39 24.8 ± 0.2 33.5 3.28 21.4 ± 0.2 42.5 2.19 17.1 ± 0.2 50.0 1.70 14.7 ± 0.2 57.5 1.41 12.9 ± 0.2 63.5 1.25 11.8 ± 0.2 / cm in Table 2.1. / cm againstsin

Draw the straight line of best fit and a worst acceptable straight line on your graph. Label both lines.

Determine the gradient of the line of best fit. Include the absolute uncertainty in your answer. gradient = [2] * 0000800000006 * lTTTTuTTTTTTTol / cm 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5sin θ * 0000800000007 * lTTTTuTTTTTTTcl

Determine the y-intercept of the line of best fit. Include the absolute uncertainty in your answer. y-intercept =

Using your answers to

, determine the values of B and n. Include appropriate units. B = n =

Determine the percentage uncertainty in n. percentage uncertainty in n = %

The experiment is repeated. Determine the angle θ that gives a value of d of 30.0 cm. θ = ° [1] [Total: 15] To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge Assessment International Education Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cambridgeinternational.org after the live examination series. * 0000800000008 * lTTTTuTTTTTTTul