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A rectangular glass slab ABCD, of refractive index n1, is immersed in water of refractive index n2 (n1>n2). A ray of light in incident at the surface AB of the slab as shown. The maximum value of the angle of incidence amax, such that the ray comes out only from the other surface CD is given by

  1. sin to the power of negative 1 end exponent invisible function application open square brackets fraction numerator n subscript 1 end subscript over denominator n subscript 2 end subscript end fraction cos invisible function application open parentheses sin to the power of negative 1 end exponent invisible function application fraction numerator n subscript 2 end subscript over denominator n subscript 1 end subscript end fraction close parentheses close square brackets    
  2. sin to the power of negative 1 end exponent invisible function application open square brackets n subscript 1 end subscript cos invisible function application open parentheses sin to the power of negative 1 end exponent invisible function application fraction numerator 1 over denominator n subscript 2 end subscript end fraction close parentheses close square brackets    
  3. sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator n subscript 1 end subscript over denominator n subscript 2 end subscript end fraction close parentheses    
  4. sin to the power of negative 1 end exponent invisible function application open parentheses fraction numerator n subscript 2 end subscript over denominator n subscript 1 end subscript end fraction close parentheses    

The correct answer is: sin to the power of negative 1 end exponent invisible function application open square brackets fraction numerator n subscript 1 end subscript over denominator n subscript 2 end subscript end fraction cos invisible function application open parentheses sin to the power of negative 1 end exponent invisible function application fraction numerator n subscript 2 end subscript over denominator n subscript 1 end subscript end fraction close parentheses close square brackets

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