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A rod of length l and cross-sectional ar...

A rod of length l and cross-sectional area A has a variable conductivity given by `K=alphaT`,where `alpha` is a positive constant and T is temperatures in Kelvin. Two ends of the rod are maintained at temperatures `T_(1)andT_(2)(T_(1)gtT_(2))`. Heat current flowing through the rod will be :

A

`(Aalpha(T_(1)^(2)-T_(2)^(2)))/(3l)`

B

`(Aalpha(T_(1)^(2)+T_(2)^(2)))/(l)`

C

`(Aalpha(T_(1)^(2)+T_(2)^(2)))/(3l)`

D

`(Aalpha(T_(1)^(2)-T_(2)^(2)))/(2l)`

Text Solution

Verified by Experts

The correct Answer is:
D
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