Physics-
General
Easy

Question

Two rods P and Q have equal lengths. Their thermal conductivities are K1 and K2 and cross sectional areas are A1 and A2. When the temperature at ends of each rod are T1 and T2 respectively, the rate of flow of heat through P and Q will be equal, if

  1. fraction numerator A subscript 1 end subscript over denominator A subscript 2 end subscript end fraction equals fraction numerator K subscript 2 end subscript over denominator K subscript 1 end subscript end fraction    
  2. fraction numerator A subscript 1 end subscript over denominator A subscript 2 end subscript end fraction equals fraction numerator K subscript 2 end subscript over denominator K subscript 1 end subscript end fraction cross times fraction numerator T subscript 2 end subscript over denominator T subscript 1 end subscript end fraction    
  3. fraction numerator A subscript 1 end subscript over denominator A subscript 2 end subscript end fraction equals blank square root of fraction numerator K subscript 1 end subscript over denominator K subscript 2 end subscript end fraction end root    
  4. fraction numerator A subscript 1 end subscript over denominator A subscript 2 end subscript end fraction equals open parentheses fraction numerator K subscript 2 end subscript over denominator K subscript 1 end subscript end fraction close parentheses to the power of 2 end exponent    

The correct answer is: fraction numerator A subscript 1 end subscript over denominator A subscript 2 end subscript end fraction equals fraction numerator K subscript 2 end subscript over denominator K subscript 1 end subscript end fraction


    open parentheses fraction numerator increment Q over denominator increment t end fraction close parentheses subscript P end subscript equals open parentheses fraction numerator increment Q over denominator increment t end fraction close parentheses subscript Q end subscript
    K subscript 1 end subscript A subscript 1 end subscript fraction numerator open parentheses T subscript 1 end subscript minus T subscript 2 end subscript close parentheses over denominator l end fraction equals K subscript 2 end subscript A subscript 2 end subscript fraction numerator open parentheses T subscript 1 end subscript minus T subscript 2 end subscript close parentheses over denominator l end fraction
    Or K subscript 1 end subscript A subscript 1 end subscript equals K subscript 2 end subscript A subscript 2 end subscript blank o r blank fraction numerator A subscript 1 end subscript over denominator A subscript 2 end subscript end fraction equals fraction numerator K subscript 2 end subscript over denominator K subscript 1 end subscript end fraction

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