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

v \propto ρ^{- \frac{1}{2}}

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v \propto ρ

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v \propto ρ^{- 1}

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Solution

The correct option is A $v \propto ρ^{- \frac{1}{2}}$
The velocity of sound in a gas is inversely proportional to the square root of the density of the gas. Hence, the velocity decreases as the density of the gas increases.
$⟹ v \propto \frac{1}{\sqrt{ρ}}$ or $v \propto ρ^{- \frac{1}{2}}$

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

The correct option is A v∝ρ−12The velocity of sound in a gas is inversely proportional to the square root of the density of the gas. Hence, the velocity decreases as the density of the gas increases. ⟹v∝1√ρ or v∝ρ−12

The correct option is A $v \propto ρ^{- \frac{1}{2}}$
The velocity of sound in a gas is inversely proportional to the square root of the density of the gas. Hence, the velocity decreases as the density of the gas increases.
$⟹ v \propto \frac{1}{\sqrt{ρ}}$ or $v \propto ρ^{- \frac{1}{2}}$