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A rod of uniform cross-section but non-u...


A rod of uniform cross-section but non-uniform thermal conductivity which vary as `k=k_(0)(x^(2))/(L^(2))(1lexleL)` (as shown in figure) is kept between fixed temperature difference for a long time. Select the correct options(s)

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
A, D
`I = (k_(0)x^(2))/(L^(2))A(dT)/(dx)rArr underset(T_(H))overset(T)(int)dT=(iL^(2))/(k_(0)A) underset(l)overset(x)(int) (dx)/(x^(2))`
`T-T_(H)=(iL^(2))/(k_(0)A)[(1)/(x)]_(1)^(x)`.
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