Heat and Thermal ExpansionHard

Question

The area of cross-section of rod is given by A = A0 where A0 & constant and x is the distance from one end. If thermal conductivity of the material is K, what is the thermal resistance of the rod if its length is l0?

Options

A.KA0αl (1 + αl0)
B. l (1 + αl0)
C.N l (1 + αl0)
D.N l (1 + αl0)

Solution

dRH =
RH =dRH =
= ln(1 + αl0)
OR
Check dimensionally

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