A circular disc is shown. On heating, $d_1$ increases by $0.3\%$ , then $d_2$ will

If the length of a cylinder on heating increases by $2\%$, the area of its base will increase by ....... $\%$

A rail track made of steel having length $10\,m$ is clamped on a railway line at its two ends as shown in figure. On a summer day due to rise in temperature by $20\,^oC$ , it is deformed as shown in figure. Find $x$ (displacement of the centre) if  $\alpha _{steel} = 1.2 \times 10^{-5} \,^oC^{-1}$

A simple pendulum made of a bob of mass $m$ and a metallic wire of negligible mass has time period $2s$ at  $T = 0\,^oC$ . If the temeprature of the wire is increased and the corresponding change in its time peirod is plotted against its temperature, the resulting graph is a line of slope $S$. If the coefficient of linear expansion of metal is $\alpha $ then the value of  $S$ is

The freezing point of the liquid decreases when pressure is increased, if the liquid

The length of a metallic rod is $5m$ at $0°C$ and becomes $  5.01\, m$, on heating upto $100°C$. The linear expansion of the metal will be