On heating a liquid of coefficient of cubical expansion $\gamma$ in a container having coefficient of linear expansion $\gamma/3$,the level of liquid in the container will

$A$ glass flask of volume $1 \ L$ is filled completely with mercury at $0^{\circ} C$. The flask is now heated to $100^{\circ} C$. The coefficient of volume expansion of mercury is $1.82 \times 10^{-4} /{ }^{\circ} C$ and the coefficient of linear expansion of glass is $0.1 \times 10^{-4} /{ }^{\circ} C$. During this process,the amount of mercury which overflows is (in $cc$)

The coefficient of apparent expansion of a liquid in a copper vessel is $C$ and in a silver vessel is $S$. The coefficient of volume expansion of copper is $\gamma_c$. What is the coefficient of linear expansion of silver?

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):

The relation between the coefficient of real expansion $(\gamma_r)$ and coefficient of apparent expansion $(\gamma_a)$ of a liquid and the coefficient of linear expansion $(\alpha_g)$ of the material of the container is:

$A$ gas at $20 \, ^\circ C$ and normal pressure has a volume of $100 \, cm^3$. If its temperature is increased to $100 \, ^\circ C$ at the same pressure,its volume becomes $125 \, cm^3$. Calculate the coefficient of volume expansion of the gas at normal pressure in $^\circ C^{-1}$.