A rod of length \( \mathrm{L} \) and uniform cross-sectional area h...

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A rod of length \( \mathrm{L} \) and uniform cross-sectional area has varying thermal conductivity which changes linearly from \( 2 \mathrm{~K} \) at end \( \mathrm{A} \) to \( \mathrm{K} \) at the other end \( \mathrm{B} \). The ends \( \mathrm{A} \) and \( \mathrm{B} \) of the rod are maintained at constant temperature \( 100^{\circ} \mathrm{C} \) and \( 0^{\circ} \mathrm{C} \), respectively. At steady state, the graph of temperature : \( \mathrm{T}=\mathrm{T}(\mathrm{x}) \) where \( \mathrm{x}= \) distance from end \( \mathrm{A} \) will be
(A)
(B)
\( (\mathrm{C}) \)
(D)
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