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Question

A cubical block of glass of refractive index n1 is in contact with the surface of water of refractive index n subscript 2 end subscript. A beam of light is incident on vertical face of the block (see figure). After refraction, a total internal reflection at the base and refraction at the opposite vertical face, the ray emerges out at an angle theta. The value of q is given by :

  1. s i n invisible function application theta less than square root of n subscript 1 end subscript to the power of 2 end exponent minus n subscript 2 end subscript superscript 2 end superscript end root    
  2. t a n invisible function application theta less than square root of n subscript 1 end subscript superscript 2 end superscript minus n subscript 2 end subscript superscript 2 end superscript end root    
  3. s i n invisible function application theta less than fraction numerator 1 over denominator square root of n subscript 1 end subscript superscript 2 end superscript minus n subscript 2 end subscript superscript 2 end superscript end root end fraction    
  4. t a n invisible function application theta less than fraction numerator 1 over denominator square root of n subscript 1 end subscript superscript 2 end superscript minus n subscript 2 end subscript superscript 2 end superscript end root end fraction    

The correct answer is: s i n invisible function application theta less than square root of n subscript 1 end subscript to the power of 2 end exponent minus n subscript 2 end subscript superscript 2 end superscript end root

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