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 $1 \text{ litre}$ 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 $\text{ cc}$)

$A$ 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 $cc$)

$A$ glass flask of volume $1 \, L$ at $0^{\circ}C$ is filled level full of mercury at this temperature. The flask and mercury are now heated to $100^{\circ}C$. How much mercury (in $cc$) will spill out,if the coefficient of volume expansion of mercury is $1.82 \times 10^{-4} \, ^{\circ}C^{-1}$ and the coefficient of linear expansion of glass is $0.1 \times 10^{-4} \, ^{\circ}C^{-1}$?

$A$ beaker is completely filled with water at $4^{\circ}C$. It will overflow if

The coefficients 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 the vessel $A$ is $\alpha$, the coefficient of linear expansion of the vessel $B$ is