Question

A tuning fork of 512 Hz is used to produce resonance in a resonance tube experiment. The level of water at first resonance is 30.7 cm and at second resonance is 63.2 cm. The error in calculating velocity of sound is

• A. 204.1 cm/s
• B. 110 cm/s
• C. 58 cm/s
• D. 280 cm/s

Answer 1

Answer: (D)

The question is incomplete, as speed of sound is not given.
Let us assume speed of sound as 330 m/s. Then, method will be as under
$\frac{\lambda }{2}=(63.2-30.7)cmor\lambda =0.65m$
$\therefore$ Speed of sound observed,
$v_0=f\lambda =512\times 0.65=332.8m/s$
$\therefore$ Error in calculating velocity of sound = 2.8 m/s
=280cm/s