Question

# Speed of the sound wave in the air(A) is independent of temperature(B) Increases with pressure(C) Increase with an increase in humidity(D) Decreases with an increase in humidity.

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Hint:The speed of sound is defined as the distance traveled by the sound wave per unit time as it propagates through the medium. The velocity of sound is directly proportional to the square root of the temperature. As humidity increases the density decreases and thus speed of sound increases.

Speed of sound waves in air increases with an increase in humidity.
The speed of sound in air is 343m/s. The speed of sound in air is directly proportional to the square root of temperature as given below.
${C_{air}} \propto \sqrt T$
Here, ${C_{air}}$=speed of sound in air
T=temperature of medium
Therefore if the humidity increases then the density decreases as a result speed of sound increases. Therefore, as humidity increases speed of sound also increases.
Hence, option (C) is the correct option.