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BITSAT2013PhysicsThermal Properties of MatterActual

Figure shows a copper rod joined to a steel rod. The rods have equal length and equal crosssectional area. The free end of the copper rod is kept at 0^ C and that of steel rod is kept at 100^ C . Find the temperature of the junction of the rod. Conductivity of copper =390 ~W / m ^ C Conductivity of steel =46 ~W / m ^ C

Options

  1. A18.01^ C
  2. B26^ C
  3. C10.6^ C
  4. D20^ C

Correct answer

C. 10.6^ C

Step-by-step solution

Heat current in first rod (copper) = 390 A (0- ) Here is temperature of the junction and A & are area and length of copper rod. Heat current in second rod (steel) = 46 A ( -100) In series combination, heat current remains same. So, array l 390 A (0- ) = 46 A ( -100) -390 ==46 -4600 436 =4600 =10.6^ C array

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