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Q.

Four rods of same material but with different radii and lengths are used to connect two reservoirs of heat with the same temperature difference. Which one will conduct more heat

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a

r=1  cm,l=2 m

b

r=1  cm,l=12 m

c

r=1 cm,l=1 m

d

r=12  cm,l=12 m

answer is C.

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Detailed Solution

detailed_solution_thumbnail

H=Kπr2LT2-T1

H∝r2 and H∝1L

So the rod with maximum  r2L  ratio will conduct maximum heat.

here that is r=1 cm,l=12m

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