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An organ pipe P1 closed at one vibrating...

An organ pipe `P_1` closed at one vibrating in its first overtone and another pipe `P_2`. Open at both ends vibrating in third overtone are in resonance with a given tuning fork. The ratio of the length of `P_1` to that of `P_2` is

A

`8//3`

B

`3//8`

C

`1//2`

D

`3//2`

Text Solution

Verified by Experts

The correct Answer is:
B
`3n_c = 4n_0`
`(3v)/(4l_c) = (4v)/(3l_0) therefore l_c/l_0 = 6/16 = 3/8`
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