Physics-
General
Easy

Question

The ratio of radiant energies radiated per unit surface area by two bodies is 16 : 1, the temperature of hotter body is 1000K, then the temperature of colder body will be

  1. 250 K    
  2. 500 K    
  3. 1000 K    
  4. 62.5 K    

The correct answer is: 500 K


    Q proportional to T to the power of 4 end exponentÞ fraction numerator Q subscript 1 end subscript over denominator Q subscript 2 end subscript end fraction equals fraction numerator T subscript 1 end subscript superscript 4 end superscript over denominator T subscript 2 end subscript superscript 4 end superscript end fractionÞ T subscript 2 end subscript superscript 4 end superscript equals open parentheses fraction numerator E subscript 2 end subscript over denominator E subscript 1 end subscript end fraction close parentheses T subscript 1 end subscript superscript 4 end superscript
    Þ T subscript 2 end subscript superscript 4 end superscript equals fraction numerator 1 over denominator 16 end fraction cross times left parenthesis 1000 right parenthesis to the power of 4 end exponent equals open parentheses fraction numerator 1000 over denominator 2 end fraction close parentheses to the power of 4 end exponentÞ T subscript 2 end subscript equals 500 K

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