Physics 9702/53 — October/November 2021

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.

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

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.