The coefficient of linear expansion of a vessel completely filled with $Hg$ is $1 \times 10^{-5} /^{\circ} C$. If there is no overflow of $Hg$ on heating the vessel,then the coefficient of cubical expansion of $Hg$ is:

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

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

$A$ 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 $0.1 \times 10^{-4} \, ^{\circ}C^{-1}$?

The value of the coefficient of volume expansion of glycerin is $5 \times 10^{-4} \, K^{-1}$. The fractional change in the density of glycerin for a rise of $40 \, ^oC$ in its temperature is: