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A pipe is closed at one end by a membran...

A pipe is closed at one end by a membrane which may be considered a seat of displacement node and is set to sonic oscillations of frequency `2000 Hz`. Find the velocity of sound if on moving the piston , resonance occurs at the interval of `8.5 cm`.

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The correct Answer is:
340 m/s
Resonating positions are separated by 8.5 cm displacement of pistion so we use
`(lambda)/(2) = 8.5 cm`
`lambda` = 17 cm
wave speed is `v = nlambda = 2000 xx 0.17` = 340 m/s
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