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

Explanation

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.