Question

Four rods of same material but different radii r and length l are used to connect two reservoirs of heat at different temperatures the one which will conduct most heat is

Answer 1

The heat conduction per unit time is given by,

dq/dt = k(t₁ - t₂)A/l

=> dq/dt = k(t₁ - t₂)πr²/l

=> dq/dt ∝ r²/l

hence we can see that the heat conduction is directly proportional to the radius and inversely proportional to the length.

So heat conduction is maximum when r is maximum and l is minimum.

Hence the rod with maximum radius and minimum length will conduct maximum heat.

Answer 2

Explanation:

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