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

The coefficient of apparent expansion of a liquid when determined using two different vessels $A$ and $B$ are ${\gamma _1}$ and ${\gamma _2}$ respectively. If the coefficient of linear expansion of vessel $A$ is $\alpha $,the coefficient of linear expansion of vessel $B$ is

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:

The densities of a liquid at $0^{\circ} C$ and $100^{\circ} C$ are respectively $1.0127 \ g/cm^3$ and $1 \ g/cm^3$. $A$ specific gravity bottle is filled with $300 \ g$ of the liquid at $0^{\circ} C$ up to the brim and it is heated to $100^{\circ} C$. Then,the mass of the liquid expelled in grams is: (Coefficient of linear expansion of glass $= 9 \times 10^{-6} /^{\circ} C$)

When a liquid is heated in a copper vessel, its coefficient of apparent expansion is $6 \times 10^{-6} /{ }^{\circ} C$. When the same liquid is heated in a steel vessel, its coefficient of apparent expansion is $24 \times 10^{-6} /{ }^{\circ} C$. If the coefficient of linear expansion for copper is $18 \times 10^{-6} /{ }^{\circ} C$, find the coefficient of linear expansion for steel.

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: