One end of a thermally insulated rod is kept at a temperature T 1 and the other at T 2 …

Physics · JEE Advanced · NTA Exams — Thermodynamics

One end of a thermally insulated rod is kept at a temperature T₁ and the other at T₂. The rod is composed of two sections of lengths l₁ and l₂ and thermal conductivities K₁ and K₂ respectively. The temperature at the interface of the two sections is

1. (K₂l₂T₁ + K₁l₁T₂)/(K₁l₁ + K₂l₂)
2. (K₂l₁T₁ + K₁l₂T₂)/(K₂l₁ + K₁l₂)
3. (K₁l₂T₁ + K₂l₁T₂)/(K₁l₂ + K₂l₁)
4. (K₁l₁T₁ + K₂l₂T₂)/(K₁l₁ + K₂l₂)

Answer

(C) (K 1 l 2 T 1 + K 2 l 1 T 2 )/(K 1 l 2 + K 2 l 1 )

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