One method for measuring the speed of sound uses standing waves. A cylindrical t

Question

One method for measuring the speed of sound uses standing waves. A cylindrical tube is open at both ends, and one end emits sound from a tuning fork. A movable plunger is inserted into the other end at a distance L from the end of the tube where the tuning fork is. For a fixed frequency, the plunger is moved until the smallest value of L is measured that allows a standing wave to be formed. Suppose that the tuning fork produces a 485-Hz tone, and that the smallest value observed for L is 0.264 m. What is the speed of sound in the gas tube?

Explanation / Answer

Frequency of the tuning fork f = 485 Hz Smallest value of L is L = 0.264 m we know for open-open tube , frequency f = v / 2L from this speed of the sound in the gas tube v =2Lf                                                                      = 256.08 m / s

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