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
2 : 1
1 : 4
1 : 8

Question

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
2 : 1
1 : 4
1 : 8

Toppr Admin · Accepted Answer

Diameters 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

Diameters 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

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 $1 : 8$