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Use the formula v = sqrt(( gamma p )/(rh...

Use the formula `v = sqrt(( gamma p )/(rho ))` to explain why the speed of sound in air is independent of pressure

Text Solution

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Effect of pressure on velocity of sound in air `:` We know that PV=RT. At constant temperature , PV = constant
i.e., `( P m)/( rho ) `= constant
As pressure increases, density increases and as pressure decreases, density of air also decreases so that `((P)/( rho ))` is always constant. Hence at constant temperature , increase or decrease of pressure on air `//` gas has no effect on the velocity of sound.
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Knowledge Check

  • If v_(m) is the velocity of sound in moist air, v_(d) is the velocity of sound in dry air, under identical conditions of pressure and temperature

    A
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