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Question

Six identical metallic rods are joined together in a pattern as shown in the figure. Points A and D are maintained at temperature 60 ℃ and 240 ℃. The temperature of the junction B will be

  1. 120 ℃    
  2. 150 ℃    
  3. 60 ℃    
  4. 80 ℃    

The correct answer is: 120 ℃


    R equals fraction numerator l over denominator K A end fraction
    fraction numerator T subscript A end subscript minus T subscript B end subscript over denominator R end fraction equals fraction numerator T subscript B end subscript minus T subscript C end subscript over denominator R end fraction equals fraction numerator T subscript C end subscript minus T subscript D end subscript over denominator R end fraction
    60 minus T subscript B end subscript equals T subscript B end subscript minus T subscript C end subscript(i)

    60 minus T subscript B end subscript equals T subscript C end subscript minus 240(ii)
    Solving (i) and (ii)
    T subscript B end subscript equals 120 ℃

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