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Question

In a steady state of heat conduction the temperature of the ends A and B of a rod 100cm long are 0o C and 100oC . The temperature of the rod at a point 60cm distant from the end A is :

A
0oC
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B
40oC
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C
60oC
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D
100oC
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Solution

The correct option is C 60oC
The linear variance of temperature across the length of the rod is assumed.
If Heat Transfer is considered as a parallel to the Electric Current model, it will be easier to visualize.
Visualize Temperature difference as Voltage Difference; Thermal resistance by definition is kAL
k and A are constant and canceled out since material is the same and has same cross-section.
The current is equal throughout the rod.
Hence, applying the aforementioned equation with θ1=100o; θ2=0
L=100ocm;l=60ocm
100o0o100o=θ0o60o
θ=60o

167114_26104_ans.png

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