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An organ pipe P(1) open at one end vibra...

An organ pipe `P_(1)` open at one end vibrating in its first harmonic and another pipe `P_(2)` open at ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of `P_(1)` to that `P_(2)` is

Text Solution

Verified by Experts

The correct Answer is:
C
First harmonic of closed pipe = Third harmonic of open pipe
`:. (nu)/(4l) = 3 ((nu)/(2l_(2))) rArr :. I_(1)/(I_(2)) = (1)/(6)`
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