A rod of steel is 5m long and 3cm diameter at a temperature of 20°C. Find the free expansion of the rod when the temperature is raised to 65°C. Find the respective pulls exerted if (i) the ends do not yield and (ii) the ends yield by 0.12 cm. $\mathrm{Y}=2\times {10}^5\mathrm{MN}/{\mathrm{m}}^2\text{ and }\mathrm{\alpha }=12\times {10}^{-6} \mathrm{per} °\mathrm{C}$