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Question

Temperature of hot end and cold end of a rod, which is in steady state, are 100C and 40C respectively. The area of cross section of rod and its thermal conductivity are uniform. The temperature of rod at its mid point is :

(Assume no heat loss through lateral surface).

A
70C
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B
60C
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C
80C
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D
None of these
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Solution

The correct option is A 70C
We know,

dQdt=k×A×(T2T1)l

Suppose the temperature at midpoint is T0C,

Now,

dQdt=kA(T40)l/2=kA(100T)l/2

100T=T402T=140T=700C

Hence option A is correct answer.

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