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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`

Text Solution

Verified by Experts

Actual speed of sound in air is `330 m//s`
`(lambda)/(2)=(l_(2)-l_(1))=(63.2-30.7)cm= 32.5 cm = 0.325m`
or `lambda = 0.65 m`
`:.` Speed of sound observed, `upsilon_(0) = f lambda= 512xx 0.65 = 332.8 m//s`
`:.` Error in calculating velocity of sound = `2.8 m//s = 280 cm//s`
`:.` The correct option is (d).
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