A vertical column $50$ $cm$ long at $50°C$ balances another column of same liquid $60 \,cm$ long at $100°C$. The coefficient of absolute expansion of the liquid is

Two vertical glass tubes filled with a liquid are connected by a capillary tube as shown in the figure. The tube on the left is put in an ice bath at $0^o C$ while the tube on the right is kept at $30^o C$ in a water bath. The difference in the levels of the liquid in the two tubes is $4 \,\,cm$ while the height of the liquid column at $0^o C$ is $120\,\,cm$. The coefficient of volume expansion of liquid is (Ignore expansion of glass tube)

A glass flask of volume $200 \,cm ^3$ is just filled with mercury at $20^{\circ} C$. The amount of mercury that will overflow when the temperature of the system is raised to $100^{\circ} C$ is …….. $cm ^3$ $\left(\gamma_{\text {glase }}=1.2 \times 10^{-5} / C ^{\circ}, \gamma_{\text {mercury }}=1.8 \times 10^{-4} / C^{\circ}\right)$

A crystal has a coefficient of expansion $13\times10^{-7}$ in one direction and $231\times10^{-7}$ in every direction at right angles to it. Then the cubical coefficient of expansion is

If a bimetallic strip is heated, it will