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Question

The heat is flowing through two cylindrical rods of same material. The diameters of the rods are in the ratio 1 : 2 and their lengths are in the ratio 2 : 1. If the temperature difference between their ends is the same, the ratio of rate of flow of heat through them will be


A

1 : 1

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B

2 : 1

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C

1 : 4

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D

1 : 8

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Solution

The correct option is D

1 : 8


Qt=KAθlQTAld2l

( d = Diameter of rod )

(Q/t)1(Q/t)2=(d1d2)2×l2l1=(12)2×(12)=18


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