A metal rod AB of uniform cross sectional area is conducting heat from end A to end B and temperature difference between ends A and B is $$100oC$$. Mid point of the rod is C. Coefficient of thermal conductivity of the rod linearly increases from KC at end A to $$2KC$$ at end B. Then temperature difference between A and C is

Question

A metal rod AB of uniform cross sectional area is conducting heat from end A to end B and temperature difference between ends A and B  is $$100oC$$. Mid point of the rod is C. Coefficient of thermal conductivity of the rod linearly increases from KC at end A to $$2KC$$ at end B. Then temperature difference between A and C is

Infinity Learn · Accepted Answer

Since coefficient of thermal conductivity of the rod gradually increases from end A to end B and thermal resistance $$R=lKA$$, it is evident that thermal resistance of the part AC is less than that of the part CB is RAC

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