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 admits 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 453-Hz tone, and that the smallest value observed for L is 0.230 m. What is the speed of sound in the gas in the tube?

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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?   

answer

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

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