The molecules of a given mass of a gas have $r.m.s.$ velocity of $200 \,m s^{-1}$ at $27^o C$ and $1.0 \times 10^5 \,Nm^{-2}$ pressure. When the temperature and pressure of the gas are respectively, $127^o C$ and $0.05 \times 10^5 \,Nm^{-2},$ the $r.m.s.$ velocity of its molecules in $m s^{-1}$ is 
  • A$\frac{{400}}{{\sqrt 3 }}$
  • B$\;\frac{{100\sqrt 2 }}{3}$
  • C$\;\frac{{100}}{3}$
  • D$\;100\sqrt 2 $
NEET 2016, Medium
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