Sound WavesHard

Question

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 in (consider actual speed of sound in air is 332 m/s):-

Options

A.204 cm/s
B.110 cm/s
C.58 cm/s
D.80 cm/s

Solution

Using    λ = 2(l2 - l1)
            v = 2n(l2 - l1)
⇒  2 × 512 (63.2 - 30.7) = 33280 cm/s
Actual speed of sound v0 = 332m/s=33200 cm/s
Hence error = 33280 - 33200 = 80 cm/s

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