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Q.

A uniform rod (area of cross section = A) made of a non–uniform conducting material has its thermal conductivity varying linearly along its length from K 0  to 2K0 . When the rod was in steady state it was observed that a heat current P was entering the left end as shown.(neglect heat loss through curved surface of the rod)
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Statement – 1 : Temperature gradient at A is lesser than that at B.

Statement – 2 : Heat current at A is equal to heat current at B.

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a

Statement – 1 is False, Statement – 2 is True. 

b

Statement – 1 is True, Statement – 2 is True; Statement – 2 is NOT a correct explanation for Statement – 1.

c

Statement – 1 is True, Statement – 2 is False

d

Statement– 1 is True, Statement – 2 is True; Statement – 2 is a correct explanation for Statement – 1.

answer is D.

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Detailed Solution

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P=KA dT dx  
Same P should flow through A and B
dT dx A > dT dx B  as  K A < K B .   
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