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An organ pipe has two successive harmoni...

An organ pipe has two successive harmonics with frequencies `400` and `560 H_(Z)`. The second of sound in air is `344 m//s`.
(a) Is the an open or a closed pipe?
(b) What two harmonics are three?
(c ) What is the length of the pipe?

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
(a) `(400)/(560) = (5)/(7)`
Since, these are odd harmonic (`5` and `7`).
Hence, pipe is closed.
(c ) Given frequencies are integer multiple of
`80 H_(Z)`. Hence, fundamental is `80 H_(Z)`.
`(nu)/(4l) = 80`
`:. l = (nu)/(320) = (344)/(320)`
`= 1.075 m`
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