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A pipe 20 cm long is closed at one end. ...

A pipe 20 cm long is closed at one end. Which harmonic mode of the pipe is resonantly excited by a 430 Hz source ? Will the same source be in resonance with the pipe if both ends are open? (speed of sound in air is 340 m `s^(-1))`.

Text Solution

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When both ends are open
`n=p(V/(2l))`
`rArr p=(2ln)/V` , l=0.2 m
Substituting the values we have
`p=((2)(0.2)(430))/340` = 0.5
Since p is in fraction the source can.t be in resonance with the pipe
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