An acoustic wave alphaagates through nitrogen under standard conditions. At what frequency will the wavelength be equal to the mean free path of the gas molecules ?

Explanation

The velocity of sound in `N_2` is
`sqrt((gamma p)/(rho)) = sqrt((gamma RT)/(M))`
so, `(1)/(v) = sqrt((gamma RT_0)/(M)) = (RT_0)/(sqrt(2) pi d^2 p_0 N_A)`
or, `v = pi d^2 p_0 N_A sqrt((2 gamma)/(MRT_0))`.