Four molecules of ags have speeds 1,2,3 and 4 `km//s`.The volue of the root mean square speed of the gas molecules is

Options

A. `sqrt((30)/(2))km//s`
B. `2.7386km//s`
C. `sqrt((15)/(4))km//s`
D. `(1)/(2)sqrt(10)km//s`

Answer

B

Explanation

`C_(rms)=sqrt((C_(1)^(2)+C_(2)^(2)+C_(3)^(2)+C_(4)^(2))/(4))`
`=sqrt((1+4+9+16)/(4))=sqrt((30)/(4))=sqrt(7.5)`
=2.7386 km/s.