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Question

# Select the correct relations between the velocity (v) of sound in a medium with the density (ρ) and the temperature of the gaseous medium.

A
V1ρ
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B
V1ρ
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C
V T
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D
V1T2
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Solution

## The correct options are B V∝1√ρ C V ∝√TThe 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 The velocity of sound in a gas is directly proportional to the square root of its temperature. The velocity of sound in a gas increases with the increase in temperature. V∝√T

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