The molecular velocities of two gases at same temperature are `u_(1)` and `u_(2)`, their masses are `m_(1)` and `m_(2)` respectively, which of the following expression is correct ?

Options

A. `m_(1)/u_(1)^(2)=m_(2)/(u_(1)^(2))`
B. `m_(1)u_(2)=m_(2)u_(2)`
C. `m_(1)/(u_(1))=m_(2)/u_(2)`
D. `m_(1)u_(1)^(2)=m_(2)u_(1)^(2)`

Answer

D

Explanation

PV=`(1)/(3) "mnu"^(2) "or" " "u=sqrt((3PV)/("mn"))=sqrt((3RT)/("mn"))`