A 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 $$\triangle T$$, then

A

Stress developed in the rod is $$E \alpha \triangle T$$ and strain developed in the rod is $$\alpha \triangle T$$

B

Stress developed in the rod is zero and strain developed in the rod is $$-\alpha \triangle T$$

C

Stress developed in the rod is zero and strain developed in the rod is $$\alpha \triangle T$$

D

Stress developed in the rod is $$E \alpha \triangle T$$ and strain developed in the rod is zero