Open at one end? Is that not a quarter of a wavelength in the pipe, a node at the closed end and a maximum at the entrance?
So
L = .25 * wavelength = .269 meter
so wavelength = 4*.269
period time = 1/456
speed = distance/time
= 4*.269 /(1/456)
= 456 * 4 *.269 meters/ second
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 456-Hz tone, and that the smallest value observed for L is 0.269 m. What is the speed of sound in the gas in the tube?
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