$A$ glass flask is filled up to a mark with $50\, cc$ of mercury at $18^{\circ}C.$ If the flask and contents are heated to $38^{\circ}C,$ how much mercury will be above the mark? (Given: $\alpha$ for glass is $9 \times 10^{-6} {^{\circ}C}^{-1}$ and the coefficient of real expansion of mercury is $180 \times 10^{-6} {^{\circ}C}^{-1}$)

If $\alpha_V$ and $T$ are the coefficient of volume expansion and temperature for an ideal gas respectively, then

The coefficient of volume expansion of glycerin is $49 \times 10^{-5} \, K^{-1}$. The fractional change in the density on a $30^{\circ} C$ rise in temperature is ..........

$A$ liquid having a coefficient of cubical expansion $\gamma$ is filled in a container having a coefficient of linear expansion $\alpha$. If the liquid overflows upon heating,which of the following relations is correct?

The volume of a gas at $20^{\circ}C$ is $100 \, cm^3$ at normal pressure. If it is heated to $100^{\circ}C$,its volume becomes $125 \, cm^3$ at the same pressure,then the volume coefficient of the gas at normal pressure is:

Two vertical glass tubes filled with a liquid are connected by a capillary tube as shown in the figure. The tube on the left is put in an ice bath at $0^{\circ}C$ while the tube on the right is kept at $30^{\circ}C$ in a water bath. The difference in the levels of the liquid in the two tubes is $4 \, cm$ while the height of the liquid column at $0^{\circ}C$ is $120 \, cm$. The coefficient of volume expansion of the liquid is (Ignore expansion of the glass tube):