The relation between the velocity (v) of sound in a medium and the density (ρ) of the medium is given by.
A
v∝ρ−12
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B
v∝ρ
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C
v∝ρ−1
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Solution
The correct option is Av∝ρ−12 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∝1√ρ or v∝ρ−12