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Question: Answered & Verified by Expert
The ratio of the speed of sound to the average speed of an air molecule at $300 \mathrm{~K}$ and 1 atmospheric pressure is close to-
PhysicsKinetic Theory of GasesKVPYKVPY 2012 (SB/SX)
Options:
  • A 1
  • B $\sqrt{1 / 300}$
  • C $\sqrt{300}$
  • D 300
Solution:
1147 Upvotes Verified Answer
The correct answer is: 1
$\frac{\mathrm{V}_{\text {sound }}}{\mathrm{V}_{\mathrm{av}}}=\sqrt{\frac{\gamma \mathrm{kT}}{\mathrm{m}} \times \frac{\pi \mathrm{M}}{8 \mathrm{kT}}}$

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