Q.

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

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a

l lo=78

b

lclo=78

c

lclo=75

d

lclo=98

answer is B.

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Detailed Solution

Third overtone of closed organ pipe means seventh harmonic. Given

f7closed =f4open 

7v4lc=4v2lo

lclo=78

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