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A rod of length l and of a uniform cross...

A rod of length l and of a uniform cross-sectional area A is made of a material of non-uniform thermal conductivity. Its thermal conductivity is temperature depenndent and varies as `K=(B)/(T)`, where B is a constant. If ends of the rod are maintained at constant temperatures `T_(1)` and `T_(2)` with `T_(1)gt T_(2)`, rate of flow of heat in steady state will be :

A

`"BA"l"log"((T_(2))/(T_(2)))`

B

`(Bl)/(4)log(T_(1)T_(2))`

C

`(BA)/(l)log((T_(2))/(T_(1)))`

D

`(BA)/(l)((T_(2))/(T_(1)))`

Text Solution

Verified by Experts

The correct Answer is:
C
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