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Four rods with different radii r and length l are connected to two reservoirs at different temperature. Which one of them will conduct most heat

Four rods with different radii r and length l are connected to two reservoirs at different temperature. Which one of them will conduct most heat

Grade:12th pass

1 Answers

Arun
25763 Points
2 years ago

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.

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