Which of the following statement(s) is (are) correct regarding the root mean square speed $$(\mu_{rms})$$ and average translational kinetic energy $$(\epsilon_{av})$$ of a molecule in a gas at equilibrium ?

A

$$(\mu_{rms})$$ is doubled when its temperature is increased four times

B

$$(\epsilon_{av})$$ is doubled when its temperature is increased four times

C

$$(\epsilon_{av})$$ at a given temperature does not depend on its molecular mass

D

$$(\mu_{rms})$$ is inversely proportional to the square rootof its molecular mass