One method for measuring the speed of sound uses standing waves. Acylindrical tu

Question

One method for measuring the speed of sound uses standing waves. Acylindrical tube is open at both ends, and one end admits soundfrom a tuning fork. A movable plunger is inserted into the otherend at a distance L from the end of the tubewhere the tuning fork is. For a fixed frequency, the plunger ismoved until the smallest value of L is measuredthat allows a standing wave to be formed. Suppose that the tuningfork produces a 459-Hz tone, and that the smallest value observedfor L is 0.217 m. What is the speed of sound inthe gas in the tube?

Explanation / Answer

f=nv/2L 459Hz=1*v/2*0.217m 459=v/0.434, v=199.206m/s

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