A student investigates stationary sound waves in cylindrical tubes. Fig. 1.1 shows a stationary wave pattern in a tube which is open at both ends. L d cylindrical tube Fig. 1.1 The tube has length L and diameter d. The frequency of the sound for the stationary wave pattern shown is f. There are a number of different tubes available. It is suggested that the relationship between f and d is V = 2L + kd f where v is the speed of sound in air and k is a constant. Design a laboratory experiment to test the relationship between f and d. Explain how your results could be used to determine values for k and v. You should draw a diagram, on page 3, showing the arrangement of your equipment. In your account you should pay particular attention to: • 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.

1. A student investigates stationary sound waves in cylindrical tubes. Fig. 1.1 shows a stationary wave pattern in a tube which is open at both ends. L d cylindrical tube Fig. 1.1 The tube has length L and diameter d. The frequency of the sound for the stationary wave pattern shown is f. There are a number of different tubes available. It is suggested that the relationship between f and d is V = 2L + kd f where v is the speed of sound in air and k is a constant. Design a laboratory experiment to test the relationship between f and d. Explain how your results could be used to determine values for k and v. You should draw a diagram, on page 3, showing the arrangement of your equipment. In your account you should pay particular attention to: • 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.[15]

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