A rod of silver of $100\;cm$ is at $0^{\circ} C$ is heated to $100^{\circ} C$. Its length is increased by $0.19 \,cm .$ Coefficient of cubical expansion of the silver rod is

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 $\left.: \alpha=5.0 \times 10^{-4}{ }^{\circ} C ^{-1}\right)$

Density of substance at $0°C$ is $10\, gm/cc$ and at $100°C,$ its density is $9.7\, gm/cc$. The coefficient of linear expansion of the substance will be

At some temperature $T$, a bronze pin is a little large to fit into a hole drilled in a steel block. The change in temperature required for an exact fit is minimum when

If on heating liquid through $80°C$, the mass expelled is $(1/100)^{th}$ of mass still remaining, the coefficient of apparent expansion of liquid is

Coefficient of real expansion of mercury is $ 0.18 \times 10^{-3}{°C^{-1}}$. If the density of mercury at $0°C$ is $13.6\, gm/cc$. its density at $473K$ is