Physics-
General
Easy

Question

A ray of light of intensity I is incident on a parallel glass-slab at a point A as shown in fig. It undergoes partial reflection and refraction. At each reflection 25% of incident energy is reflected. The rays AB and A'B' undergo interference. The ratio I m i n subscript m a x end subscript is

  1. 4 : 1    
  2. 8 : 1    
  3. 7 : 1    
  4. 49 : 1    

The correct answer is: 49 : 1


    From figure I subscript 1 end subscript equals fraction numerator I over denominator 4 end fraction and I subscript 2 end subscript equals fraction numerator 9 I over denominator 64 end fraction Þ fraction numerator I subscript 2 end subscript over denominator I subscript 1 end subscript end fraction equals fraction numerator 9 over denominator 16 end fraction

    By using fraction numerator I subscript m a x end subscript over denominator I subscript m i n end subscript equals open parentheses fraction numerator square root of fraction numerator I subscript 2 end subscript over denominator I subscript 1 end subscript end fraction end root plus 1 over denominator square root of fraction numerator I subscript 2 end subscript over denominator I subscript 1 end subscript end fraction end root minus 1 end fraction close parentheses equals open parentheses fraction numerator square root of fraction numerator 9 over denominator 16 end fraction end root plus 1 over denominator square root of fraction numerator 9 over denominator 16 end fraction end root minus 1 end fraction close parentheses equals fraction numerator 49 over denominator 1 end fraction end fraction

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