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The fundamental frequency of a closed pi...

The fundamental frequency of a closed pipe is `220 H_(Z)`.
(a) Find the length of this pipe.
(b) The second overtone of this pipe has the same frequency as the third harmonic of an open pipe. Find the length of this open pipe. Take speed of sound in air `345 m//s`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
(a) `f_(1) = (nu)/(4l)`
`:. l = (nu)/(4 f_(1)) = (345)/(4 xx 220)`
`= 0.392 m`
(b) `5((nu)/(4l_(c))) = 3 ((nu)/(2l_(0)))`
`:. l_(0) = (6)/(5) l_(c) = ((6)/(5)) (0.392)`
`= 0.47 m`
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