For a monatomic gas, kinetic energy `= E`. The relation with `rms` velocity is

Options

A. `u=((2E)/(m))^(1//2)`
B. `u=((3E)/(2m))^(1//2)`
C. `u=((E)/(2m))^(1//2)`
D. `u=((E)/(3m))^(1//2)`

Explanation

`v_(rms)=sqrt((3RT)/(M))`
`KE(E) "per mole"=(3)/(2)RT`
`RT=(2)/(3)KE`
`v_(rms)=sqrt((3)/(M)xx(2)/(3)KE)`
`=sqrt((2KE)/(M))=((2KE)/(M))^(1//2)`