1. Tardigrade
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  3. Physics
  4. 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

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Q. 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

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Solution:

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)cm \, or \, \lambda=0.65 m $
$\therefore $ Speed of sound observed,
$\, \, \, \, v_0=f \lambda =512 \times0.65=332.8 m/s $
$\therefore $ Error in calculating velocity of sound = 2.8 m/s
=280cm/s