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 same, then the ratio of amounts of heat conducted through them per unit time will be

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1 :1

2 : 1

1 : 4

1 : 8

answer is D.

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Detailed Solution

Q=KAθ1−θ2tℓ⇒Qt=Kπr2(Δθ)l∴Qt1Qt2=K1K2×r1r22

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