A rod of uniform cross-section but non-uniform thermal conductivity which vary as $k = k_{0} \frac{x ^{2}}{L ^{2}} (1 \leq x \leq L)$ (as shown in figure) is kept between fixed temperature difference for a long time. Select the correct option(s) :

Question

TestHub · Accepted Answer

​ i = − L 2 k 0 ​ x 2 ​ A dx dT ​ ⇒ ∫ T H ​ T ​ dT = − k 0 ​ A i L 2 ​ ∫ 1 x ​ x 2 dx ​ ​ T − T H ​ = k 0 ​ A i L 2 ​ [ x 1 ​ ] 1 x ​ ​

Physics - Heat & Thermo Question with Solution | TestHub

Options:(select one or more)

Doubts & Discussion