You are provided with a retort stand with its accessories, two pieces of wood, a thread, pendulum bob, stop watch and a meter rule. (a) Hang the pendulum bob on one end of a 90 cm length of thread and clamp the other end firmly between two small pieces of wood as shown in Figure 1. (b) Displace a pendulum bob to a small distance and release it such that, It begins to swing to and fro motion. Determine the time t for twenty (20) complete oscillations and hence the corresponding periodic time, T. (c) Repeat the procedures in 1 (b) for the values of L=70 cm, 50 cm, 30 cm and 10 cm. (i) Construct a table of results that includes the values of T (ii) Plot a graph of L (cm) against T (iii) From the graph determine the slope G (iv) Find the value of the acceleration due to gravity, g. (v) Give two importance of the value obtained in 1(iv) in daily life activities.

1. Find the value of the acceleration due to gravity, g. (4 mk)
2. Give two importance of the value obtained in 1(iv) in daily life activities. (4 mk)

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You are provided with a resistance box R, a dry cell E, a switch S, a jockey J and a centre- zero galvanometer. Determine the value of the unknown resistance X by means of a metre bridge as follows: (a) Set up the circuit as shown in Figure 2. (b) Set R =1Ω, close the switch, slide the jockey over the metre bridge wire until the galvanometer reads zero. Read and record the length L .Also read and record the corresponding length L . (c) Repeat the procedures in 2 (b) for values of R = 2Ω, 3Ω, 5Ω and 7Ω and record the values for L and L in each case. (i) Tabulate your results including the values of L (ii) Plot a graph of R against L (iii) Find the slope S of the graph (iv) Determine the value of the unknown resistance X by showing clearly how you arrive at your answer.

1. Determine the value of the unknown resistance X by showing clearly how you arrive at your answer. (8 mk)

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