A cubical box with porous walls containing an equal number of `O_(2)` and `H_(2)` molecules is placed in a larger evacuated chamber. The entire system is maintained at constant temperature `T`. The ratio of `v_(rms)` of `O_(2)` molecules to that of the `v_(rms)` of `H_(2)` molecules, found in the chamber outside the box after a short interval is

Options

A. `1/(2sqrt(2))`
B. `(1)/(4)`
C. `(1)/(sqrt(2))`
D. `sqrt(2)`

Answer

B

Explanation

`(v_(rms))_(O_(2))/(v_(rms))_(H_(2)) = sqrt((M_(0))_(H_(2))/((M_(0))_(H_(2)))) = sqrt((2)/(32)) = (1)/(4)`