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An organ pipe A closed at one end vibra...

An organ pipe `A` closed at one end vibrating in its fundamental frequency and another pipe `B` open at both ends is vibrating in its second overtone are in resonance with a given tuning fork . The ratiio of length of pipe `A` to that of `B` is

A

`1 : 2`

B

`3 : 8`

C

`2 : 3`

D

`1 : 6`

Text Solution

Verified by Experts

The correct Answer is:
D
`(v)/( 4 l_(1)) = 3((v)/( 2 l_(2))) rArr (l_(1))/(l_(2)) = (1)/(6)`
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