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

Answer

D

Explanation

`mu_(1)propsqrt(1/(m_(1)))` and `u_(2)propsqrt(1/(m_(2)))`
`therefore(u_(1)^(2))/(u_(2)^(2))=(m_(2))/(m_(1))thereforem_(1)i_(1)^(2)=m_(2)u_(1)^(2)=m_(2)u_(2)^(2)`