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}$)
$25$
$35$
$45$
$55$
Two different wires having lengths $L _{1}$ and $L _{2}$ and respective temperature coefficient of linear expansion $\alpha_{1}$ and $\alpha_{2},$ are joined end-to-end. Then the effective temperature coefficient of linear expansion is
Two holes of unequal diameters $d_1$ and $d_2$ $({d_1} > {d_2})$ are cut in a metal sheet. If the sheet is heated
A cylindrical metal rod of length $L_0$ is shaped into a ring with a small gap as shown. On heating the system
The freezing point of the liquid decreases when pressure is increased, if the liquid
Surface of the lake is at $2°C$. Find the temperature of the bottom of the lake........ $^oC$