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

In an experiment to find the liquid expansion coefficient $(\gamma)$,a column of experimental liquid at $T\,^oC$ is balanced against another column of experimental liquid at $0\,^oC$ by taking them in a $U$-tube. The expansion coefficient $(\gamma)$ is?

Give the value of the coefficient of volume expansion at room temperature for an ideal gas.

The coefficient of volume expansion of glycerin is $49 \times 10^{-5} \; K^{-1}$. What is the fractional change in its density for a $30 \; ^{\circ}C$ rise in temperature?

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

$A$ 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 $\text{ cc}$)