Which of the following statement(s) is (are) correct regarding the root mean square speed ( $\mathrm{U}_{\mathrm{ms}}$ ) and average translational kinetic energy ( $\varepsilon_{\mathrm{av}}$ ) of a molecule in a gas at equilibrium ?
Select ALL correct options:
A
$\mathrm{U}_{\mathrm{rms}}$ is doubled when its temperature is increased four times
B
$\varepsilon_{\mathrm{av}}$ at a given temperature does not depend on its molecular mass
C
$\mathrm{U}_{\mathrm{rms}}$ is inversely proportional to the square root of its molecular mass
D
$\varepsilon_{a v}$ is doubled when its temperature is increased four times
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