37.An organ pipe P1 closed at one end vibrating in its first overtone and another pipe P2open at both ends vibrating in third overtone are in resonance with a given tuning fork. The ratio of the length P1to that of P2is --------

First overtone of Closed organ pipe P1:

It is equal to 3rd harmonic.

f1=3v4L1Here, v is speed of sound and L1 is length of pipe P1

Third overtone of open organ pipe P2:

It is equal to 4th harmonic.

f2=4v2L2    =2vL2Here, v is speed of sound and L2 is length of pipe P2

Equate f1 and f2 to find the ratio of lengths: (condition of resonance)


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