The molecules of a given mass of a gas have r.m.s velocity of $200 \; ms^{-1}$ at $27^oC$ and $1.0 \times 10^5 \; Nm^{-2}$ pressure. When the temperature and pressure of the gas are respectively, $127^oC$ and $ 0.05 \times 10^5 \; Nm^{-2}$, the r.m.s. velocity of its molecules in $ms^{-1}$ is :

Question

( A ) $\frac{400}{\sqrt{3}}$
( B ) $\frac{100}{3}$
( C ) $100\sqrt{2}$
( D ) $\frac{100\sqrt{2}}{3}$