Physics (AS & A Level) · Feb / March 2024 · Paper 52 · Question 1

Fig. 1.1 shows a thin cylindrical metal rod of length L. L Fig. 1.1 One end of the rod is hit with a hammer. A stationary sound wave is set up within the rod. The rod vibrates at its resonant frequency f. A microphone placed at the other end of the rod detects the sound wave emitted from the rod. The frequency of the detected sound is also f. A number of rods of different length are available. It is suggested that f is related to L by the relationship 2f Ln = E ρ where ρ is the density of the metal, and E and n are constants. Plan a laboratory experiment to test the relationship between f and L. Draw a diagram showing the arrangement of your equipment. Explain how the results could be used to determine values for E and n. In your plan you should include: • the procedure to be followed • the measurements to be taken • the control of variables • the analysis of the data • any safety precautions to be taken. 3 Diagram 4 [15]

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