The equation for the RMS velocity is given as
\[
v_{\text{rms}} = \sqrt{\frac{3RT}{M_0}}
\]
where \( R \) is the gas constant, \( T \) is the temperature, and \( M_0 \) is the molecular mass. If the temperature is increased, find the new RMS velocity \( v_{\text{rms}} \) when the temperature is doubled.}