Physics-
General
Easy

Question

The diagram shows five isosceles right angled prisms. A light ray incident at 90° at the first face emerges at same angle with the normal from the last face. Which of the following relations will hold regarding the refractive indices?

  1. mu subscript 1 end subscript superscript 2 end superscript plus mu subscript 3 end subscript superscript 2 end superscript plus mu subscript 5 end subscript superscript 2 end superscript equals mu subscript 2 end subscript superscript 2 end superscript plus mu subscript 4 end subscript superscript 2 end superscript    
  2. mu subscript 1 end subscript superscript 2 end superscript plus mu subscript 3 end subscript superscript 2 end superscript plus mu subscript 5 end subscript superscript 2 end superscript equals 1 plus mu subscript 2 end subscript superscript 2 end superscript plus mu subscript 4 end subscript superscript 2 end superscript    
  3. mu subscript 1 end subscript superscript 2 end superscript plus mu subscript 3 end subscript superscript 2 end superscript plus mu subscript 5 end subscript superscript 2 end superscript equals 2 plus mu subscript 2 end subscript superscript 2 end superscript plus mu subscript 4 end subscript superscript 2 end superscript    
  4. none    

The correct answer is: mu subscript 1 end subscript superscript 2 end superscript plus mu subscript 3 end subscript superscript 2 end superscript plus mu subscript 5 end subscript superscript 2 end superscript equals 2 plus mu subscript 2 end subscript superscript 2 end superscript plus mu subscript 4 end subscript superscript 2 end superscript

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