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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

`1:2`

B

`1:3`

C

`3:4`

D

`3:8`

Text Solution

Verified by Experts

The correct Answer is:
D

`n_1/n_2 = (3n_c)/(4n_0) = 3(v)/(4l_c) xx(2l_0)/(4v)`
`8/3 = l_0/l_c`
`therefore l_c/l_0 = 3/8`
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