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:

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

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:

$A$ 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 $180 \times 10^{-6} {^{\circ}C}^{-1}$)

The coefficient of volumetric expansion of mercury is $18 \times 10^{-5} \, ^\circ C^{-1}$. $A$ thermometer bulb has a volume $10^{-6} \, m^3$ and the cross-section of the stem is $0.004 \, cm^2$. Assuming that the bulb is filled with mercury at $0 \, ^\circ C$,find the length of the mercury column at $100 \, ^\circ C$.

The apparent coefficient of expansion of a liquid,when heated in a copper vessel is $C$ and when heated in a silver vessel is $S$. If $A$ is the linear coefficient of expansion of copper,then the linear coefficient of expansion of silver is: