Q.

Heat is flowing through two cylindrical rods of the same material. The diameters of the rods are in the ratio 1 : 2 and their lengths are in the ratio 2 : 1. If the temperaturedifference between their ends is the same, then the ratio of the amounts of heat conducted through them per unit time will be:

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a

1 : 1

b

2 : 1

c

1 : 4

d

1 : 8

answer is D.

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Detailed Solution

Heat conducted Time=KA(θ1-θ2)l∞Al
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Heat is flowing through two cylindrical rods of the same material. The diameters of the rods are in the ratio 1 : 2 and their lengths are in the ratio 2 : 1. If the temperaturedifference between their ends is the same, then the ratio of the amounts of heat conducted through them per unit time will be: