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Question

Two different metal rods of the same length have their ends kept at the same temperatures θ1 and θ2 with θ2 > θ1. If A1 and A2 are their cross-sectional areas and k1 and k2 their thermal conductivities, the rate of heat flow in the two rods will be same if



Your Answer
A

k1k2=A1A2

Correct Answer
B

k1k2=A2A1

Your Answer
C

k1k2=A1θ2A2θ1

Your Answer
D

k1k2=A1θ1A2θ2


Solution

The correct option is B

k1k2=A2A1


Rate of heat flow is Qt=kA(θ2θ1)l
Since (θ2θ1) and l are the same for the two rods, the rate of flow Qt will be the same if the product kA is the same for the two rods, i.e., if
k1A1=k2A2k1k2=A2A1
Hence, the correct choice is (b).

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