If V is the speed of sound- - is the density of gas- then

The velocity $v$ of sound in a gas depends upon its pressure $P$ and density $ρ$ , shown by using dimensional analysis, show that $ν \propto \sqrt{\frac{P}{ρ}}$

Q. The relation between the velocity (v) of sound in a medium and the density (ρ) of the medium is given by.

Q. The speed

(v)

of ripples on surface of water depends upon the surface tension

(σ)

density

ρ

and wave length

(λ)

the speed v is proportional to

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If V is the speed of sound, ρ is the density of gas, then

The correct option is D V=1VρV=√γPρ, where P= Pressure of gas,V=1Vρ i.e., speed of sound is inversely proportional to the square root of density of the gas.

If $V$ is the speed of sound, $ρ$ is the density of gas, then

The correct option is D $V = \frac{1}{V ρ}$
$V = \sqrt{\frac{γ P}{ρ}}$ , where $P =$ Pressure of gas,
$V = \frac{1}{V ρ}$ i.e., speed of sound is inversely proportional to the square root of density of the gas.