As shown in the figure, the height of an air column in a particular pipe is adju

Question

As shown in the figure, the height of an air column in a particular pipe is adjusted by changing the water level in the pipe. In a traditional experiment, a tuning fork is placed over the pipe, and the height of the air column is adjusted, by moving a reservoir of water up and down, until the pipe makes a loud sound, which is when the pipe's fundamental frequency matches the frequency of the tuning fork. If the speed of sound is 340 m/s, and an air column of 28.0 cm produces the loudest sound, what is the frequency of the tuning fork?

Explanation / Answer

It is open at one end, so we have a node and an antinode, which makes a quarter of a wavelength. Thus,

wavelength = 26.0 * 4 cm = 1.04 m

Thus,

f = v / wavelength

where v is the speed of sound = 340 m/s. Thus,

f = 326.9 Hz   [ANSWER]

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