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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 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

`1/8`

B

`1/2`

C

`3/8`

D

`5/8`

Text Solution

Verified by Experts

The correct Answer is:
C
`n_(1) = (3V)/(4L_(1)) " and " n_(2) = 4 (V/(2L_(2)))`
` :. (3V)/(4L_(1)) = (4V)/(2L_(2)) :. 3L_(2) = 8L_(1) :. L_(1)/L_(2) = 3/8`
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