Physics-
General
Easy

Question

A metal rod of length 2 m has cross sectional areas 2 A and A as shown in figure. The ends are maintained at temperatures 100 ℃ and 70 ℃. The temperature at middle point C is

  1. 80 ℃    
  2. 85 ℃    
  3. 90 ℃    
  4. 95 ℃    

The correct answer is: 90 ℃


    Let theta be temperature of middle point C and in series rate of heat flow is same
    rightwards double arrow K open parentheses 2 A close parentheses open parentheses 100 minus theta close parentheses equals K A left parenthesis theta minus 70 right parenthesis
    rightwards double arrow 200 minus 2 theta equals theta minus 70 rightwards double arrow 3 theta equals 270 rightwards double arrow theta equals 90 ℃

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