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

Answer

D

Explanation

`(1)/(2)m_(1)v_(1)^(2)=(1)/(2)m_(2)v_(2)^(2)`
`"or "m_(1)v_(1)^(2)=m_(2)v_(2)^(2)`