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A rod of length l with thermally insulat...

A rod of length l with thermally insulated lateral surface consists of material whose heat conductivity coefficient varies with temperature as `k= a//T`, where a is a constant. The ends of the rod are kept at temperatures `T_1 and T_2`. Find the function T(x), where x is the distance from the end whose temperature is `T_1`.

Text Solution

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`T=T_(1)((T_(2))/(T_(1)))^(x//L)`
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