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 :

1 :1

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2 : 1

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1 : 4

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1 : 8

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Solution

The correct option is D 1 : 8
Diameters are in ratio $1 : 2$ , so areas are in ratio $1 : 4$
Lengths are in ratio $2 : 1$
Hence, $A / L$ ratio is $1 : 8$
Since other factors are constant, ratio of heat flow is $1 : 8$

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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

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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 :

The correct option is D 1 : 8Diameters are in ratio 1:2, so areas are in ratio 1:4Lengths are in ratio 2:1Hence, A/L ratio is 1:8Since other factors are constant, ratio of heat flow is 1:8

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 :

The correct option is D 1 : 8
Diameters are in ratio $1 : 2$ , so areas are in ratio $1 : 4$
Lengths are in ratio $2 : 1$
Hence, $A / L$ ratio is $1 : 8$
Since other factors are constant, ratio of heat flow is $1 : 8$