First slide

Speed of wave

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

Moderate

A

204 cm/s
B

110 cm/s
C

58 cm/s
D

80 cm/s

Solution

Using $λ = 2 (l_{2} - l_{1}) \Rightarrow v = 2 n (l_{2} - l_{1})$
$\Rightarrow 2 \times 512 (63.2 - 30.7) = 332 m / s = 33200 cm / s$
Actual speed of sound, $v_{0} = 332 m / s = 33200 cm / s$
Hence error = 33280 -33200 = 80 cm/s

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