A constant temperature difference is maintained across the ends $A$ and $B$ of a rod of varying cros

Question

A constant temperature difference is maintained across the ends $A$ and $B$ of a rod of varying cross-sectional area. The lateral surface of the rod is lagged and the conductivity of the rod is constant. If $g_A$ and $g_B$ be the temperature gradients $\left|\frac{d T}{d x}\right|$ at the ends $A$ and $B$, respectively, then in steady state,

Professor PC Thomas Classes · Answer

To conduct the same amount of heat through a smaller area larger temperature gradient is required. $ 	herefore \quad g_B>g_A $