The fin loses heat by convection to the atmosphere which is at a temperature ta (ta < tb).

Question

A long slender metallic rod of length L is used as a fin. As shown in the figure below, the left end of the fin is kept at a constant temperature t_b. The fin loses heat by convection to the atmosphere which is at a temperature t_a (t_a < t_b). Four options of temperature profiles are shown. Identify the correct option