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JEE PHYSICS MCQ: THERMAL PROPERTIES OF MATTER

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Three bars of equal lengths and equal area of cross-section are connected in series. Their thermal conductivities are in the ratio of 2:4:32: 4: 3. If the open ends of the first and the last bars are at temperatures 200∘C200^{\circ} \mathrm{C} and 18∘C18^{\circ} \mathrm{C} respectively in the steady state, calculate the temperatures of both the junctions.
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Correct option: A
116∘C,74∘C116^{\circ} \mathrm{C}, 74^{\circ} \mathrm{C}
Option A (116∘C,74∘C116^{\circ} \mathrm{C}, 74^{\circ} \mathrm{C}) is correct because in a steady state, the rate of heat flow is the same through each bar, and the temperatures at the junctions can be found by setting up equations based on thermal conductivity.

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