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 .....$cm/sec$ (consider actual speed of sound in air is $332 m/s$)
IIT 2005, Medium
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(d) Using $\lambda = 2({l_2} - {l_1})$ ==> $v = 2n({l_2} - {l_1})$
==> $2 \times 512(63.2 - 30.7) = 33280cm/s$
Actual speed of sound ${v_0} = 332m/s = 33200cm/s$
Hence error $ = 33280 - 33200 = 80cm/s$
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