A circular metallic disc of radius $R$ has a small circular cavity of radius $r$ as shown in figure. On heating the system
$R$ increases and $r$ decreases
$R$ decreases and $r$ increases
Both $R$ and $r$ increases
Both $R$ and $r$ decreases
If a cylinder of diameter $1.0\, cm$ at $30°C$ is to be solid into a hole of diameter $0.9997\, cm$ in a steel plate at the same temperature, then minimum required rise in the temperature of the plate is ........ $^oC$ (Coefficient of linear expansion of steel $ = 12 \times {10^{ - 6}}°C^{-1}$)
Coefficient of linear expansion of brass and steel rods are $\alpha_1$ and $\alpha_2$. Lengths of brass and steel rods are $l_1$ and $l_2$ respectively. If $\left(l_2-l_1\right)$ is maintained same at all temperatures, which one of the following relations holds good?
The diagram below shows the change in the length $X$ of a thin uniform wire caused by the application of stress $F$ at two different temperatures $T_1$ and $T_2$. The variation shown suggests that
Thermal expansion of a solid is due to the
A gas in an airtight container is heated from $25°C$ to $90°C$. The density of the gas will