A closed pipe and an open pipe have their first overtones identical in frequency. their lengths are in the ratio?
OCW Scholar - Physics I: Classical Mechanics
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You should mention that sound waves are generated in identical conditions i.e the speed of sound is same in the two experiments.
In that case the ratio is 2v/2L1 : 3v/4L2 = 4L2 : 3L1 .
In a closed pipe the fundamental is at L = 1/4 wavelength and the first overtone is at L = 3/4 wavelength (3rd harmonic). In an open pipe the fundamental is at L = 1/2 wavelength and the first overtone is L = 1 wavelength (2nd harmonic). So the length of the closed pipe is 3/4 the length of the open pipe.