The root mean square speed of one mole of a monoatomic gas having molecular mass M is `U_("rms")`. The relation between the average kinetic energy (E ) of the gas and `U_("rms")` is :

Options

A. `U_(rms) =sqrt((3E)/(2M))`
B. `U_(rms)=sqrt((2E)/(3M))`
C. `U_(rms) =sqrt((2E)/(M))`
D. `U_(rms)=sqrt((E )/(3M))`

Explanation

`U_(rms) =sqrt((3RT)/(M), KE =(3)/(2) RT`
`therefore U_(rms) =sqrt((2E)/(M))`
Hence, (C ) is the correct answer.