WBJEE · Physics · Waves and Sound
The velocity of sound in air at \(20^{\circ} \mathrm{C}\) and 1 atm pressure is \(344.2 \mathrm{m} / \mathrm{s}\). At \(40^{\circ} \mathrm{C}\) and \(2 \mathrm{atm}\)
pressure, the velocity of sound in air is approximately
- A \(350 \mathrm{m} / \mathrm{s}\)
- B \(356 \mathrm{m} / \mathrm{s}\)
- C \(363 \mathrm{m} / \mathrm{s}\)
- D \(370 \mathrm{m} / \mathrm{s}\)
Answer & Solution
Correct Answer
(B) \(356 \mathrm{m} / \mathrm{s}\)
Step-by-step Solution
Detailed explanation
\(\quad T_{1}=273+20=293 \mathrm{K}\) \[ T_{2}=273+40=313 \mathrm{K} \] The velocity of sound wave in gases or air is given by \[ v=\sqrt{\frac{\gamma R T_{1}}{M}} \] where, \(\gamma=\) Ratio of \(C_{p} / C_{V}\)…
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