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Conduction Law

Two ends of a...

Question

Two ends of a rod of non-uniform area of cross-section are maintained at temperature $T_{1}$ and $T_{2} (T_{1} > T_{2})$ as shown in the figure. If $I$ is the heat current through the cross - section of the conductor at distance $x$ from its left face then the variation of $I$ with time $t$ is best represented by

A

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B

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C

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D

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Solution

The correct option is A
At the steady state, the rate of heat transfer through any cross - section is constant with respect to time.
Therefore, the graph will be a straight line parallel to the time axis.

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