find the fundamental frequency and the frequency of the first two overtones of a pipe `45.0 cm` long. (a) If the pipe is open at both ends. (b) If the pipe is closed at one end. Use `upsilon = 344 m//s` .

Answer

A, B, C, D

Explanation

(a) Fundamental , `f_(1) = (nu)/(2l) = (344)/(2 xx 0.45) = 382.2 H_(Z)`
First two overtone are `2 f_(1)` and `3 f_(1)` . (b) Fundamental, `f_(1) = (nu)/(4l) = (344)/(4 xx 0.45) = 191.1 H_(Z)`
First two overtones are `3 f_(1)` and `5 f_(1)`.