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/s
b
110 cm/s
c
58 cm/s
d
80 cm/s
answer is D.
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Detailed Solution
Using λ = 2(l2-l1) ⇒ v = 2n(l2-l1)⇒ 2×512(63.2-30.7) = 332 m/s = 33200 cm/sActual speed of sound, v0 = 332 m/s = 33200 cm/sHence error = 33280 -33200 = 80 cm/s