According to Maxwell distribution, the area under the curve is equal to the total number of molecules in collision. On increasing temperature, fraction of molecules having speed equal to `u_(mp)` .(most probable speed) decreases. The speed distribution also depends on the mass of the molecules along with the temperature. In general, the distribution depends upon the value of `M/T` (where M is molar mass and Tis temperature in kelvin). 

If at `T_1 K` is u, then value of `u_(rms)` at `T_2` is 

Options

A. `3sqrt((T_2)/(T_1)) u`
B. `sqrt((3T_2)/(2T_1)) u`
C. `sqrt((T_2)/(T_1)) u`
D. `2sqrt((T_2)/(T_1)) u`

Explanation

`((U_(mp))T_2)/((U_(rms))T_2) = (sqrt((2RT_1)/(M)))/(sqrt((3RT_2)/(M))) , (U_(rms))_(T_2) = U xx sqrt((3T_2)/(2T_1))`.