Third overtone of closed organ pipe is in unison with fourth harmonic of an open pipe. Find the ratio of the lengths of the pipes.

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8/9

3/2

7/8

answer is C.

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Detailed Solution

Third overtone of closed organ pipe means seventh harmonic. Given : f7 closed = f4 open ⇒7V4lc=4V2lo ⇒lclo=78