Two vessels have equal volums. One of them contains hydrogen at one atmosphere and the other helium at two atmosphere. If both the samples are at the same temperature, the `rms` velocity of the hydrogen molecules is

Options

A. equal to that of the helium molecules
B. twice that of the helium molecules
C. half that of the helium molecules
D. `sqrt(2)` times that of the helium molecules

Answer

D

Explanation

`(v_(rms))_(H_(2))/(v_(rms))_(He) = sqrt((M_(He))/((M_(0))_(H_(2)))) = sqrt((4)/(2)) = sqrt(2)`