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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 resonane with the pipe if both end are open ? (speed of sound in air is `340 m s^(-1))`.

Text Solution

Verified by Experts

Here `f = 1237.5 Hz`
`f _(1) = (v)/( 4L ) = (330)/( 4 xx 0.2) = 412.5 Hz`
Now, `(f)/(f _(1)) = (1237.5)/(412.5) =3`
Air coumn in closed pipe will reasonate in second mode of vibration with third harmonic.
`(because f = 3f _(1))`
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