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An organ pipe P(1) closed at one end vib...

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)` and `p_(2)` is
(a) `8//3` (b) `3//8` (c ) `1//6` (d) `1//3`

A

`8//3`

B

`3//8`

C

`1//2`

D

`1//3`

Text Solution

Verified by Experts

The correct Answer is:
B
` 3 xx (v)/( 4 l_(c)) = 4 xx (v)/( 2 lo) or (l_(c ))/(lo) = ( 3v)/( 4) xx (2)/( 4 v) = (3)/(8)`
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