Wave Mechanics Question 853

Question: If vm is the velocity of sound in moist air, vd is the velocity of sound in dry air, under identical conditions of pressure and temperature

[KCET 2002, 03]

Options:

A) vm > vd

B) vm < vd

C) vm = vd

D) vmvd = 1

Show Answer

Answer:

Correct Answer: A

Solution:

The density of moist air (i.e. air mixed with water vapours) is less than the density of dry air Hence from $ v=\sqrt{\frac{\gamma P}{\rho }} $

Therefore $ {v _{moist,air}}>{v _{dry,air}} $