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If the pressure, temperature and density...

If the pressure, temperature and density of an ideal gas are denoted by P, T and `rho`, respectively, the velocity of sound in the gas is

A

proportional to `sqrt(P)`, when T is constant

B

proportional to `sqrt(T)`

C

proportional to `sqrt(P)`, when `rho` is constant

D

proportional to T.

Text Solution

Verified by Experts

The correct Answer is:
B, C
Speed of the sound in the gas is given by,
`v = sqrt((lambdaRT)/m) = sqrt((lambdaP)/rho)`
From this we conclude that velocity of sound in gas is proportional to `sqrt(T)` and also proportional to `sqrt(P)`, when `rho` is constant.
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