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A long rod has one end at 0^@C and other...

A long rod has one end at `0^@C` and other end at a high temperature. The coefficient of thermal conductivity varies with distance from the low temperature end as `K = K_0(1+ax)`, where `K_0 = 10^2` SI unit and `a = 1m^-1` . At what distance from the first end the temperature will be `100^@C`? The area of cross-section is `1cm^2` and rate of heat conduction is 1 W.

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1.71 m
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