At temperature $T, N$ molecules of gas A each having mass $m$ and at the same temperature $2N$ molecules of gas $B$ each having mass $2\,m$ are filled in a container. The mean sqaure velocity of molecules of gas $B$ is $v^2$ and mean square of $x$ component of velocity of molecules of gas$ A$ is $w^2$. The ratio of $w^2/v^2$ is :

At $0\,^oC$ , the value of the density of fixed mass of an ideal gas divided by its pressure is $x$ . At $100\,^oC$ , this value will be

For a perfect gas, two pressures $P_{1}$ and $P_{2}$ are shown in figure. The graph shows

The curve between absolute temperature and $v_{rms}^2$ is

If the internal energy of $n_1\, moles$ of $He$ at temperature $10\,T$ is equal to the internal energy of $n_2\, mole$ of hydrogen at temperature $6\,T$. The ratio of $\frac{{{n_1}}}{{{n_2}}}$