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Question

Five identical rods are joined as shown in figure. Point A and C are maintained at temperature 120 ℃ and 20 ℃ respectively. The temperature of junction B will be

  1. 100 ℃    
  2. 80 ℃    
  3. 70 ℃    
  4. 0 ℃    

The correct answer is: 70 ℃


    If thermal resistance of each rod is considered R then, the given combination can be redrawn as follows

    open parentheses H e a t blank c u r r e n t close parentheses subscript A C end subscript equals open parentheses H e a t blank c u r r e n t close parentheses subscript A B end subscript
    fraction numerator left parenthesis 120 minus 20 right parenthesis over denominator 2 R end fraction equals fraction numerator left parenthesis 120 minus theta right parenthesis over denominator R end fraction rightwards double arrow theta equals 70 ℃

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