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Suppose a block of constant cross section area \(A\) and length \(L\) has its ends maintained at temperature \(0^{\circ}C\) and \(100^{\circ}C\). And the thermal conductivity of block varies as \( K = K_0(1 + \alpha x)\) where \(x\) is distance from the end which is at \(100^{\circ}C\) and \(\alpha\) is a positive constant

Then the temperature in the middle of rod at steady state will be (options in \( ^{\circ}C\)

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