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Two rods ofsamelengthandareaofcross-sectionA1and A2havetheirendsatthesametemperature.If K1and Kare their thermal conductivities,cand care their specific heatsandd1andd2aretheirdensities,thentherateofflow of heat is the same in both the rods if

  1. fraction numerator A subscript 1 end subscript over denominator A subscript 2 end subscript end fraction equals fraction numerator negative k subscript 1 end subscript over denominator k subscript 2 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 1 end subscript c subscript 1 end subscript d subscript 1 end subscript over denominator k subscript 2 end subscript c subscript 2 end subscript d subscript 2 end subscript end fraction    
  3. fraction numerator A subscript 1 end subscript over denominator A subscript 2 end subscript end fraction equals fraction numerator k subscript 2 end subscript c subscript 1 end subscript d subscript 1 end subscript over denominator c subscript 2 end subscript d subscript 2 end subscript k subscript 1 end subscript end fraction    
  4. 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    

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


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