The root mean square speed of the molecules of a diatomic gas is v. When the temperature is doubled, the molecules dissociates into two atoms. The new root mean square speed of the atom is

Options

A. `sqrt2 u`
B. `u`
C. `2 u`
D. `4 u`

Answer

C

Explanation

`u = sqrt((3RT)/(M))`, If `T = 2T " and " M = M//2`
then `u_(1) = sqrt((3R xx 2T)/(M//2))`
`:. (u_(1))/(u) = sqrt4 = 2`