an organ pipe P_1,closed at one end vibrating in its first overtone ,and another pipe P_2 open at both the end and vibrating in its third overtone,are in resonance with a tuning fork.The ratio of the length of P_{1 }to that of P_2 is?

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Q. An organ pipe

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Q. An organ pipe

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An organ pipe $P_{1}$ closed at one end vibrating in its first overtone and another pipe $P_{2}$ open at both ends vibrating in its third overtone are in resonance with a given tuning fork. The ratio of lengths of $P_{1}$ and P2 is

[EAMCET 1997; MH CET 1999; AFMC 2001]

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