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Two cylindrical rods of lengths l1 and l2, radii r1 and r2 have thermal conductivities k1 and k2 respectively. The ends of the rods are maintained at the same temperature difference. If l1=2l2 and r1=r22, the rates of heat flow in them will be the same if k1k2 is



A

1

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B

2

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C

4

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D

8

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Solution

The correct option is D

8


The rate of heat flow in rods A and B are given by
Q1t=k1πr21Δθl1
and Q2t=k2πr22Δθl2
Now, Q1=Q2k1r21l1=k2r22l2k1k2=l1l2×r22r21=2×(2)2=8
Hence, the correct choice is (d).


Physics

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