Question

Statement I: The velocity of sound increases with increase in humidity.
Statement II: Velocity of sound does not depend upon the medium.

• A. If both Statement I and Statement II are true and the Statement II is correct explanation of the Statement I
• B. If both Statement I and Statement II are true but the Statement II is not the correct explanation of the Statement II.
• C. If Statement I is true but Statement II is false
• D. If both the Statements are false.

Answer 1

Answer: (C)

Velocity of sound in gas medium is $v=\sqrt{\frac{K}{\rho}}=\sqrt{\frac{\gamma p}{\rho}}$
$\gamma$ is ratio of its principal heat capacities $\left(C_{P} / C_{v}\right).$
For moist air $\rho$ is less than that for dry air and $\gamma$ is slightly greater.
$\therefore $ Velocity of sound increases with increase in humidity.