What is the effect of humidity on sound waves | vedclass

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(A) The speed of sound in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$, where $\gamma$ is the adiabatic index, $P$ is the pressure

Vedclass · Accepted Answer

Speed of sound waves is more.

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(A) The speed of sound in a gas is given by the formula $v = \sqrt{\frac{\gamma P}{\rho}}$, where $\gamma$ is the adiabatic index, $P$ is the pressure, and $\rho$ is the density of the gas.When humidity increases, water vapor (which has a lower molar mass, $18 \ g/mol$) replaces dry air (which has a higher average molar mass, approximately $29 \ g/mol$).This replacement decreases the overall density $\rho$ of the air mixture.Since the speed of sound $v$ is inversely proportional to the square root of the density $(v \propto \frac{1}{\sqrt{\rho}})$, a decrease in density leads to an increase in the speed of sound.Therefore, the speed of sound waves increases as humidity increases.

What is the effect of humidity on sound waves when humidity increases?

Similar Questions

$A$ plane wave of sound traveling in air is incident upon a plane surface of a liquid. The angle of incidence is $60^{\circ}$. The speed of sound in air is $300 \ m/s$ and in the liquid it is $600 \ m/s$. Assume Snell's law to be valid for sound waves.

$Assertion :$ The change in air pressure affects the speed of sound.
$Reason :$ The speed of sound in gases is proportional to the square of pressure.

$Assertion :$ The base of Laplace correction was that exchange of heat between the region of compression and rarefaction in air is negligible.
$Reason :$ Air is a bad conductor of heat and the velocity of sound in air is quite large.

Which of the following waves cannot be polarized?

Write the displacement variable in the propagation of sound in air.

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