Question

3. Velocity of sound in medium is V. If the density of
the medium is doubled, what will be the new velocity
of sound ?​

Answer 1

Answer:

The velocity of sound in air is proportional to the square root of the absolute temperature. It is independent of air density and pressure. However

Answer 2

If the density of  the medium is doubled, the speed of sound gets decreased by a factor of $\dfrac{1}{\sqrt{2} }$.

Explanation:

The velocity of sound in terms of density is given by :

$v=\sqrt{\dfrac{\gamma P}{\rho}}$

$\gamma$ is adiabatic constant

P is pressure

$\rho$ is density of medium

If the density of  the medium is doubled, the speed of sound gets decreased by a factor of $\dfrac{1}{\sqrt{2} }$.

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Speed of sound

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