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Question

A thin prism P subscript 1 end subscript with angle 6 to the power of ring operator end exponent and made from glass of refractive index 1.54 is combined with another thin prism P subscript 2 end subscript of refractive index 1.72 to produce dispersion without deviation. The angle of prism P subscript 2 end subscript will be

  1. 5 to the power of ring operator comma 24 to the power of '    
  2. 4 to the power of ring operator comma 30 to the power of '    
  3. 6 to the power of ring operator end exponent    
  4. 8 to the power of ring operator end exponent    

The correct answer is: 4 to the power of ring operator comma 30 to the power of ´


    fraction numerator A to the power of ´ end exponent over denominator A end fraction equals fraction numerator left parenthesis mu subscript y end subscript minus 1 right parenthesis over denominator left parenthesis mu subscript y ´ end subscript minus 1 right parenthesis end fraction rightwards double arrow fraction numerator A to the power of ´ end exponent over denominator 6 end fraction equals negative fraction numerator left parenthesis 1.54 minus 1 right parenthesis over denominator left parenthesis 1.72 minus 1 right parenthesis end fraction
    Þ A' equals negative 4.5 to the power of o end exponent equals 4 to the power of o end exponent 3 0 to the power of ´ end exponent

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