# Variable thermal conductivity!

A rod of length $$l$$ with thermally insulated lateral surface is made of a material whose thermal conductivity varies as $$K =\dfrac C T$$, where $$C$$ is a constant. The ends are kept at temperatures $$T_1$$ and $$T_2$$. The temperature at a distance $$x$$ from the first end varies as $$T= T_1 \large(\frac{T_2}{T_1})^{\frac{ax}{2l}}$$. Find the value of '$$a$$'.

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