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A copper rod (initially at room temperat...

A copper rod (initially at room temperature `20^(@)C)` of non-uniform cross section is placed between a steamchamber at 100°C and ice water chamber at 0°C. A and B are cross sections as shown in the figure. Then match the statements in Column I with result in Column II comparing only between cross section A and B. (The mathematical expressions in Column I have their usual meanings in heat transfer)


`((dT)/dt)` will be

Text Solution

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Initially rate of heat flow will be maximum at `A` and minimum at `B` as there is no temperature difference across section `B`.
In steady state `(dQ)/(dt)` will be same.
In steady state `(dQ)/(dt) = -KA(dT)/(dx)`= same & `(dT)/(dt) = 0 implies ((dT)/(dx)) prop (1)/(A) implies ((dT)/(dx))`
will be maximum at `B` & minimum at `A`
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