Aclosed vessel contains a mixture of two diatomic gases Aand $B$. Molar mass of Ais $16$ times that of $B$ and mass of gas $A$ contained in the vessel is $2$ times that of $B$. The following statements are given
$(i)$Average kinetic energy per molecule of $A$ is equal to that of $B$.
$(ii)$ Root mean square value of translational velocity of $B$ is four times that of $A$.
$(iii)$ Pressure exerted by $B$ is eight times of that exerted by $A$.
$(iv)$ Number of molecules of $B$ in the cylinder is eight time that of $A$.
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