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The end A of a rod A B of length 1 m is maintained at 100 ° C and the end B at 10 ° C . What is the temperature (in ° C ) at a distance of 60 cm from the end B ?

Correct answer

64

Step-by-step solution

The situation is given in the figure. Let θ be the temperature at point C. We know that the rate flow of heat Q t = K A ( θ 1 - θ 2 ) d Here, K = coefficient of thermal conductivity A = area of cross-section ⇒ K A ( 100 - θ ) 40 = K A ( θ - 10 ) 60 100 - θ 2 = θ - 10 3 300 - 3 θ = 2 θ - 20 5 θ = 320 θ = 320 5 θ = 64 ℃

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