On a day when the speed is `345 m//s`, the fundamental frequency of a closed organ pipe is `220 H_(Z)` . (a) How long is this closed pipe? (b) The second overtone of this pipe has the same wavelength as the third harmonic of an open pipe . How long is the open pipe ?

Answer

A, B, C, D

Explanation

(a) `f = (nu)/(4l)`
`:. l = (nu) / (4 f) = (345)/(4 xx 220)`
`= 0.392 m` (b) `5((nu)/(4l_(c))) = 3((nu)/(2l_(o)))`
`:. l_(o) = (6)/(5) l_(c) = (6)/(5) (0.392)`
`= 0.470 m`