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Q.

A tuning fork of 512Hz is used to produce resonance in a resonance tube experiment. 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 (speed of sound in air = 330 m/s).

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a

204.1 cm/s

b

110 cm/s

c

58 cm/s

d

280 cm/s

answer is A.

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Detailed Solution

V=2nl2−l1V=2×51263.2−30.7100=332.8 m/sError,    ΔVV=Δl2+Δl1l2−l1=0.232.5ΔV=332.8×0.232.5=204     cm/s
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A tuning fork of 512Hz is used to produce resonance in a resonance tube experiment. 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 (speed of sound in air = 330 m/s).