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An organ pipe P1 closed at one end of vibrating in its first harmonic and another pipe P2 open at both ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of P1 to that of P2 is?

An organ pipe P1 closed at one end of vibrating in its first harmonic and another pipe P2 open at both ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of P1 to that of P2 is? Correct Answer 1/6

First harmonic of closed pipe=Third harmonic of open pipe v/(4L1)=3×v/(2L2) L1/L2 = 1/6.

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