Wave Motion 2 Question 16
16. 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
$(2005,2 M)$
(a) $204.1 cm / s$
(b) $110 cm / s$
(c) $58 cm / s$
(d) $280 cm / s$
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Answer:
Correct Answer: 16. (d)
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.
$$ \frac{\lambda}{2}=(63.2-30.7) cm \quad \text { or } \quad \lambda=0.65 m $$
$\therefore$ Speed of sound observed,
$$ v _0=f \lambda=512 \times 0.65=332.8 m / s $$
$\therefore$ Error in calculating velocity of sound $=2.8 m / s$
$=280 cm / s$
