The root mean square speed of molecules of a given mass of a gas at $27^{\circ} C$ and $1$ atmosphere pressure is $200\, ms ^{-1}$. The root mean square speed of molecules of the gas at $127^{\circ} C$ and $2$ atmosphere pressure is $\frac{ x }{\sqrt{3}}\, ms ^{-1} .$ The value of $x$ will be ......$ms ^{-1} .$
JEE MAIN 2021, Diffcult
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