Root mean square velocity of gas molecules is `300 m//sec`. The `r.m.s` velocity of molecules of gas with twice the molecular weight and half the absolute temperature is :

Options

A. `300m//sec`
B. `600m//sec`
C. `75m//sec`
D. `150 m //sec`

Answer

4

Explanation

`V prop sqrt((T)/(M))" "impliesV_(1) prop sqrt((T_(1))/(M_(1)))" "impliesv_(2) prop sqrt((T.^(1)//_(2))/(2M_(1)))" "implies V_(2) prop sqrt(T_(1)/M_(1))xx1/2" "impliesV_(2)=(V_(1))/(2)xx(300)/(2)=150m//s`