Speed of sound wave in air: - Vidyadip

MCQ

Speed of sound wave in air:

A
Is independent of temperature.
B
Increases with pressure.
✓
Increases with increase in humidity.
D
Decreases with increase in humidity.

✓

Answer

Correct option: C.

Increases with increase in humidity.

Speed of sound $($longitudinal$)$ wave in air is $\text{v}=\sqrt{\frac{\lambda\text{p}}{\text{p}}}.$ the density of water vapours is less $($rises up$)$ than the air so on increasing humidity, the density of medium decrease in turn increases the speed of sound in air by $\text{v}=\propto\frac{1}{\sqrt{\text{p}}} ($relation$).$
Hence verifies the option $(c).$

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