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Heat is flowing through two cylindrical ...

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

A

`1:8`

B

`1:8`

C

`1:1`

D

`4:1`

Text Solution

Verified by Experts

The correct Answer is:
B
`(Q)/(t)prop(A)/(l)" "rArrHprop(A)/(l)`
`(H_(1))/(H_(2))=(A_(1))/(A_(2))xx(l_(2))/(l_(1))=1/4xx1/2=1/8`
Hence the correct choice is (b).
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