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The plots for intensity v e r s u s wavelength for three black bodies at temperature T subscript 1 end subscript comma blank T subscript 2 end subscript comma blank T subscript 3 end subscript respectively are shown in figure. Their temperatures are such that

  1. T subscript 1 end subscript greater than T subscript 2 end subscript greater than T subscript 3 end subscript    
  2. T subscript 1 end subscript greater than T subscript 3 end subscript greater than T subscript 2 end subscript    
  3. T subscript 2 end subscript greater than T subscript 3 end subscript greater than T subscript 1 end subscript    
  4. T subscript 3 end subscript greater than T subscript 2 end subscript greater than T subscript 1 end subscript    

The correct answer is: T subscript 1 end subscript greater than T subscript 3 end subscript greater than T subscript 2 end subscript


    According to Wien’s displacement law.
    lambda subscript m end subscript proportional to fraction numerator 1 over denominator T end fraction o r T blank proportional to fraction numerator 1 over denominator lambda subscript m end subscript end fraction
    From figure,
    open parentheses lambda subscript m end subscript close parentheses subscript 1 end subscript less than open parentheses lambda subscript m end subscript close parentheses subscript 3 end subscript less than open parentheses lambda subscript m end subscript close parentheses subscript 2 end subscript blank therefore T subscript 1 end subscript greater than T subscript 3 end subscript greater than T subscript 2 end subscript

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