An air bubble doubles its radius on raising from the bottom of water reservoir to be the surface of water in it. If the atmospheric pressure is equal to $10\, m$ of water, the height of water in the reservoir is ….. $m$

Figure shows two flasks connected to each other. The volume of the flask $1$ is twice that of flask $2$. The system is filled with an ideal gas at temperature $100\,K$ and $200\,K$ respectively. If the mass of the gas in $1$ be $m$ then what is the mass of the gas in flask $2$

What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature $T$?

An ideal gas is trapped inside a test tube of cross-sectional area $20 \times 10^{-6} \,\,m^2$ as shown in the figure. The gas occupies a height $L_1$ at the bottom of the tube and is separated from air at atmospheric pressure by a mercury column of mass $0.002\,\, kg$. If the tube is quickly turned isothermally, upside down so that $L_2$ mercury column encloses the gas from below. The gas now occupies height $L_1$ in the tube. The ratio $L_1$ is [Take atmospheric pressure $= 10^5 Nm^{-2}]$ 

$N_1$ molecules of a gas at temperature $T_1$ are mixed with $N_2$ molecules at temperature $T_2$. The resulting temperature of the mixture gas is