The relation between the pressure $(P)$,volume $(V)$,and average kinetic energy $(E)$ of a gas is

Two gases $A$ and $B$ are contained in the same vessel which is at temperature $T$. The number of molecules of gas $A$ is $N$ and the mass of each molecule is $m$. The number of molecules of gas $B$ is $2N$ and the mass of each molecule is $2m$. If the mean square velocity of the $x$-component of velocity of gas $B$ is $v^2$ and the mean square velocity of the $x$-component of velocity of molecules of gas $A$ is $u_x^2$,then $\frac{u_x^2}{v^2}$ is:

According to the Kinetic Theory of Gases,at a given temperature:

Two gases $A$ and $B$ are at absolute temperatures $350 \ K$ and $420 \ K$ respectively. The ratio of average kinetic energy of the molecules of gas $B$ to that of gas $A$ is

We sit in a room with windows open. Then,

On colliding in a closed container,the gas molecules: