Wave Mechanics Question 775

Question: Assertion : The velocity of sound increases with increase in humidity. Reason : Velocity of sound does not depend upon the medium.

Options:

A) If both assertion and reason are true and the reason is the correct explanation of the assertion.

B) If both assertion and reason are true but reason is not the correct explanation of the assertion.

C) If assertion is true but reason is false.

D) If the assertion and reason both are false.

E) If assertion is false but reason is true.

Show Answer

Answer:

Correct Answer: C

Solution:

Velocity of sound in gas medium is $ v=\sqrt{\frac{K}{\rho }} $

$ =\sqrt{\frac{\gamma p}{\rho }} $ g is ratio of its principal heat capacities $ (C _{P}/C _{v}) $ . For moist air r is less than that for dry air and g is slightly greater. \ velocity of sound increases with increase in humidity.