Three rods each of same length and cross section are joined in series. The thermal conductivity of the materials are k, 2k and 3k respectively. If one end is kept at 300 0C and the other at 100 0C. What would be the temperature of the junction which comes before the end at 100 0C in the steady state. Thermal conductivity of copper is 400 WmK-1.
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answer is 4.
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Detailed Solution
Thermal resistance R=lkA1keq=1k+12k+13k=6+3+26k=116kTj1-TiTf-Ti=keq3k Tj1-100300-100=6k1113k=211 Tj1=40011+100=136.4 C 0