Heat and Thermal ExpansionHard

Question

Three rods of the same dimensions have thermal conductivities 3k, 2k and k. They are arranged as shown, with their ends at 100oC, 50oC and 0oC. The temperature of their junction is :-

Options

A.75oC
B. oC
C.40oC
D. oC

Solution

Let θ = junction temperature
Net heat current at junction  is zero
3k (100 - θ) + k (0 - θ) + 2k (50 - θ) = 0 ⇒ oC

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