The molecules of a given mass of gas have a \[rms\] velocity of 200 m/s at \[{{27}^{o}}C\] and \[1.0\times {{10}^{5}}\,N/{{m}^{2}}\] pressure. When the temperature is \[127{}^\circ C\] and pressure is \[0.5\times {{10}^{5}}\,N/{{m}^{2}},\] the \[rms\] velocity in m/s will be

• A. \[\frac{100\sqrt{2}}{3}\]
• B. \[100\sqrt{2}\]
• C. \[\frac{400}{\sqrt{3}}\]
• D. None of these