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A tuning fork of 512 H(Z) is used to pro...

A tuning fork of `512 H_(Z)` is used to produce resonance in a resonance tube expertiment. The level of water at first resonance is `30.7 cm` and at second resonance is `63.2 cm` . The error in calculating velocity of sound is
(a) `204.1 cm//s`
(b) `110 cm//s`
(c) `58 cm//s`
(d) `280 cm//s`

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Verified by Experts

The correct Answer is:
D
The question is incomplete, as speed of sound is not given. Let us assume speed of sound as 330 m/s. Then, method will be as under.
`(lamda)/(2)=(63.2-30.7)cmor lamda=0.65m`
`:.` speed of sound observed
`V_(0)=f lamda=512 xx0.65=332.8 m`
`:.` Error is calculated velocity of sound
`= 2.8 m//s = 280 cm//s`
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ALLEN -WAVES AND OSCILLATIONS-Part-1(Exercise-05)[B]
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