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. `30sqrt(2)m//s`
B. `75m//s`
C. `600m//s`
D. `150m//s`

Answer

D

Explanation

`(C_(2))/(C_(1))=sqrt((M_(1))/(M_(2))xx(T_(2))/(T_(1)))=sqrt((1)/(2)xx(1)/(2))=(1)/(2)`
`C_(2)=(C_(1))/(2)=(300)/(2)=150m//s`.