Which of the following rods, (given radius r and length l) each made of the same material and whose ends are maintained at the same temperature will conduct most heat?
- r = r0, l = l0
- r = 2r0, l = l0
- r = r0, l = 2l0
- r = 2r0, l = 2l0
Answer
(2) r = 2r0, l = l0
Solution
As per NCERT, rate of heat flow H = KA(T1 - T2)l with A = r2
Same material and same temperature difference, so H r2l
(1) r02l0 (2) 4r02l0 (3) r022l0 (4) 4r022l0 = 2r02l0
The rod with r = 2r0, l = l0 conducts the most heat.
Answer: (2)