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Q.

If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz, first resonance was observed at 30.7 cm and second was obtained at 63.2 cm, then maximum possible error in velocity of sound is (consider actual speed of sound in air is 332 m/s)

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a

204 cm/sec

b

110 cm/sec

c

58 cm/sec

d

80 cm/sec

answer is D.

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Detailed Solution

Using  λ=2(l2−l1)⇒v=2n(l2−l1)⇒2×512(63.2−30.7)=33280cm/sActual speed of sound  ⇒2×512(63.2−30.7)=33280cm/sHence error =33280−33200=80cm/s
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If in an experiment for determination of velocity of sound by resonance tube method using a tuning fork of 512 Hz, first resonance was observed at 30.7 cm and second was obtained at 63.2 cm, then maximum possible error in velocity of sound is (consider actual speed of sound in air is 332 m/s)