A circular rod of length ‘L’ and area of cross-section ‘A’ has a modulus of elasticity ‘E’ and
coefficient of thermal expansion ‘$\alpha$’. One end of the rod is fixed and other end is free. If the
temperature of the rod is increased by $\left (\Delta T \right )$, then
(a) stress developed in the rod is E$\alpha \Delta T$ and strain developed in the rod is $\alpha \Delta T$
(b) both stress and strain developed in the rod are zero
(c) stress developed in the rod is zero and strain developed in the rod is $\alpha \Delta T$
(d) stress developed in the rod is E$\alpha \Delta T$ and strain developed in the rod is zero