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GATE Mechanical 2024 | Question: 7

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​​​​A plane, solid slab of thickness $L$, shown in the figure, has thermal conductivity $k$ that varies with the spatial coordinate $x$ as $k=A+B x$, where $A$ and $B$ are positive constants $(A>0, B>0)$. The slab walls are maintained at fixed temperatures of $T(x=0)=0$ and $T(x=L)=T_{0}>0$. The slab has no internal heat sources. Considering one-dimensional heat transfer, which one of the following plots qualitatively depicts the steady-state temperature distribution within the slab?


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