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Which of the following cylindrical rods ...

Which of the following cylindrical rods will conduct most heat, when their ends are maintained at the same steady temperature

A

Length 1 m, radius 1 cm

B

Length 1 m, radius 1 cm

C

Length 2 m, radius 2 cm

D

Length 1 m, radius 2 cm

Text Solution

Verified by Experts

The correct Answer is:
D
Heat current (H) `=Q/t = (kA triangle T)/(l) implies (Q)/(t) prop A/l prop (r^2)/(l)`
`(r^2)/(l)` is maximum for option (d).
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