If in an experiment for determination of velocity of sound by res… - Vidyadip

MCQ

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 $332 m/s$)

A
$204$
B
$110 $
C
$58$
✓
$80$

✓

Answer

Correct option: D.

$80$

d
(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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