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Question

Question: The diagram below shows rods of the same size of two different materials P and Q placed end to end i...

The diagram below shows rods of the same size of two different materials P and Q placed end to end in thermal contact and heavily lagged at their sides. The outer ends of P and Q are kept at 00C and 1000C, respectively. The thermal conductivity of P is four times that of Q. What is the steady-state temperature of the interface ?

A

200C

B

750

C

250C

D

800C

Answer

200C

Explanation

Solution

4K(T0)L\frac{4K(T–0)}{L}= K(100T)L\frac{K(100–T)}{L}