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The molecules of a given mass of a gas have rms velocity of \( 200 \mathrm{~ms}^{-1} \) at \( 27^{\circ} \mathrm{C} \) and \( 1.0 \times 10^{5} \mathrm{Nm}^{-2} \) pressure. When the temperature and pressure of the gas are respectively, \( 127^{\circ} \mathrm{C} \) and \( 0.05 \times 10^{5} \mathrm{Nm}^{-2} \), the rms velocity of its molecules (in \( \mathrm{ms}^{-1} \) ) is
(a) \( \frac{400}{\sqrt{3}} \)
(b) \( \frac{100 \sqrt{2}}{3} \)
(c) \( \frac{100}{3} \)
(d) \( 100 \sqrt{2} \)
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