The root mean square speed of the molecules of a diatomic gas is V. When the temperature is doubled ,the molecules dissociate into two atoms. The new root mean square speed of the atom is :

Options

A. v
B. 2v
C. `sqrt2v`
D. 4v

Answer

B

Explanation

`v_(rms)=sqrt((3RT)/M)`
According to problem T will become 2T and M will become `M//2` . So the value of `v_(rms)` will increase by `sqrt4 = 2` times . i.e., new root mean square velocity will be 2v.