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A metal rod of length 2 m has cross-sectional areas 2 A and A as shown in the figure. The ends are maintained at temperatures 100 ° C and 70 ° C . The temperature at middle point C (in ° C ) is

Correct answer

90

Step-by-step solution

Let θ be temperature of the middle point C and in the series, rate of heat flow is the same. ⇒ K 2 A 1 0 0 ∘ - θ = K A θ - 7 0 ∘ ⇒ 2 0 0 - 2 θ = θ - 7 0 ⇒ 3 θ = 2 7 0 ⇒ θ = 90 ° C

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