The ends of a metal bas of constant cross-sectional area are maintained at temperatures $T_1$ and $T_2$ which are both higher than the temperature of the surroundings. If the bar is unlagged, which one of the following sketches best represents the variation of temperature with distance along the bar?
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This is a question of unsteady state conduction, which is exponential. That leaves us with options $\mathrm{c} \& \mathrm{D}$
since it is given that both the end temperatures were higher than surroundings at the beginning. heat will start to flow from ends towards the centre. Hence option $\mathrm{C}$.
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