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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 ?
$$(\mu_{rms})$$ is doubled when its temperature is increased four times
$$(\epsilon_{av})$$ is doubled when its temperature is increased four times
$$(\epsilon_{av})$$ at a given temperature does not depend on its molecular mass
$$(\mu_{rms})$$ is inversely proportional to the square rootof its molecular mass
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