Equal volumes of two gases, having their densities in the ratio `1 : 16` exert equal pressures on the walls of two containers. The ratio of their rms velocities `(C_(1)/C_(2))` is

Options

A. `1 : 8`
B. `8 : 1`
C. `1 : 4`
D. `4 : 1`

Answer

D

Explanation

Since the two gases have equal pressures,
`P=1/3rho_(1)C_(1)^(2)=1/3rho_(2)C_(2)^(2)`
`thereforeC_(1)^(2)/C_(2)^(2)=rho_(2)/rho_(1)=16" "thereforeC_(1)/C_(2)=4/1`