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In which medium the speed of sound is more — humid air or dry air? Give a reason to your answer.

Sound Waves Propagation

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Answer

The speed of sound is more in humid air.

From the relation.

V ∝ γPρ\sqrt\dfrac{\gamma P}{ρ}, it is clear that V ∝ 1ρ\dfrac{1}{\sqrtρ} i.e., the speed of sound is inversely proportional to the square root of density of the gas.

As the density of air decreases with an increase in moisture level in air hence speed of sound increases in humid air.

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