Velocity of Sound in Moist Air – Rankers Physics
Topic: Waves
Subtopic: Sound Wave and its Characteristics

Velocity of Sound in Moist Air

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): The presence of moisture increases the velocity of sound in air.
Reason (R): Density of moist air is more than the density of dry air.
In the light of the above statements, the correct option is
Both (A) and (R) are true and (R) is the correct explanation of (A)
Both (A) and (R) are true but (R) is not the correct explanation of (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Velocity of sound \(v = \sqrt{\frac{\gamma P}{\rho}}\). Since water vapor has a lower density than dry air, moist air has a lower density, raising the sound velocity. Thus, (A) is true but (R) is false.

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