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Q.

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

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a

equal to 50oC

b

less than 50oC

c

more than 50oC

d

may be less than 50oC

answer is B.

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Detailed Solution

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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