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NEET2022PhysicsThermal Properties of MatterActual

Two rods one made of copper and other made of steel of the same length and same cross sectional area are joined together. The thermal conductivity of copper and steel are 385 ~J ~s ⁻¹ ~K ⁻¹ ~m ⁻¹ and 50 ~J ~s ⁻¹ ~m ⁻¹ respectively. The free ends of copper and steel are held at 100^ C and 0^ C respectively. The temperature at the junction is, nearly:

Options

  1. A12^ C
  2. B50^ C
  3. C73^ C
  4. D88.5^ C

Correct answer

D. 88.5^ C

Step-by-step solution

As per question, we have; aligned & = ? & As & K = Q d ~A t , & where, K = thermal conductivity & Q= amount of heat transferred & d= distance between two planes & A = area of surface, and & T = difference in Temp. & Q t = 385 A (100^ C - ) l & = 50 A ( -0^ C ) l & 385 (100^ C - )=50 ( -0^ C ) & =88.5^ C aligned

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