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Question

A ray of light passes through four transparent media with refractive indices mu subscript 1 end subscript. mu subscript 2 end subscript mu subscript 3 end subscript comma text  and end text mu subscript 4 end subscript as shown in the figure. The surfaces of all media are parallel. If the emergent ray CD is parallel to the incident ray AB, we must have

  1. mu subscript 1 end subscript equals mu subscript 2 end subscript    
  2. mu subscript 2 end subscript equals mu subscript 3 end subscript    
  3. mu subscript 3 end subscript equals mu subscript 4 end subscript    
  4. mu subscript 4 end subscript equals mu subscript 1 end subscript    

The correct answer is: mu subscript 4 end subscript equals mu subscript 1 end subscript


    For successive refraction through different media mu sin invisible function application theta equalsconstant. Here as theta is same in the two extreme media, mu subscript 1 end subscript equals mu subscript 4 end subscript.

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