A solid metallic cube having total surface area $24\;m ^{2}$ is uniformly heated. If its temperature is increased by $10\,^{\circ} C$, calculate the increase in volume of the cube $\left(\right.$ Given $\left.: \alpha=5.0 \times 10^{-4}{ }^{\circ} C ^{-1}\right)$

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

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

A uniform metal rod is used as a bar pendulum. If the room temperature rises by $10°C$, and the coefficient of linear expansion of the metal of the rod is $2 \times 10^{-6}$ per $°C,$ the period of the pendulum will have percentage increase of

Two marks on a glass rod $10\, cm$ apart are found to increase their distance by $0.08\, mm$ when the rod is heated from $0\,^oC$ to $100\,^oC$. A flask made of the same glass as that of rod measures a volume $1000\, cc$ at $0\,^oC$. The volume it measures at $100\,^oC$ in $cc$ is

A bar of iron is $10\, cm$ at $20°C$. At $19°C$ it will be ($\alpha$ of iron $= 11 \times 10^{-6}/°C$)