A lagged bar of total length 40 cm has a middle section X Y of length 10 cm whose conductivity is one-quarter of that of the rest of the bar. The ends are at 10 0 ∘ C and 0 ∘ C. Find the temperature d

Question

A lagged bar of total length 40 cm has a middle section X Y of length 10 cm whose conductivity is one-quarter of that of the rest of the bar. The ends are at 10 0 ∘ C and 0 ∘ C. Find the temperature difference across X Y in ∘ C (two decimals).

TestHub · Accepted Answer

The heat current is the same everywhere, so the drop is proportional to K L ​ . With K for the rest: X Y gives 0.25 10 ​ = 40 , the rest gives 1 30 ​ = 30 . The drop across X Y = 100 × 70 40 ​ = 57.14 ∘ C.

Physics - Heat & Thermo Question with Solution | TestHub

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