A flute which we treat as a pipe open at both ends is `60 cm` long. (a) What is the fundamental frequency when all the holes are covered? (b) How far from the mouthpieces should a hole be uncovered for the fundamental frequency to be `330 H_(Z)` ? Take speed of sound in air as `340 m//s`.

Answer

A, B, C

Explanation

(a) Fundamental frequency when the pipe is open at both ends is
`f_(1) = (nu)/(2l) = (340)/(2 xx 0.6)`
`= 283.33 H_(Z)`
(b) Suppose the hole is uncovered at a length `l` from the mouthpiece, the fundamental frequency will be
`f_(1) = (nu)/(2l)`
:. `l = (nu)/(2 f_(1)) = (340)/( 2xx 330)`
`= 0.515 m`
`= 51.5 cm`