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An organ pipe $P_{1}$ closed at one end vibrating in its first harmonic and another pipe $P_{2}$ open at both ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of $P_{1}$ to that of $P_{2}$ is:

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detailed solution

Correct option is C

close end tube P1 first harmonic is v4l1 and for P2 third harmonic is 3v2l2 given v4l1=3v2l2 l1l2=16

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An organ pipe P1 closed at one end 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:

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Ready to Test Your Skills?

free study material

An organ pipe $P_{1}$ closed at one end vibrating in its first harmonic and another pipe $P_{2}$ open at both ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of $P_{1}$ to that of $P_{2}$ is: