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General
Easy

Question

A ray of light strikes a plane mirror M at an angle of 45° as shown in the figure. After reflection, the ray passes through a prism of refractive index 1.5 whose apex angle is 4°. The total angle through which the ray is deviated is

  1. 90°    
  2. 91°    
  3. 92°    
  4. 93°    

The correct answer is: 92°


    delta subscript n e t end subscript equals delta subscript m i r r o r end subscript plus delta subscript p r i s m end subscript
    equals left parenthesis 180 minus 2 i right parenthesis plus left parenthesis mu minus 1 right parenthesis A
    equals left parenthesis 180 minus 2 cross times 45 right parenthesis plus left parenthesis 1.5 minus 1 right parenthesis cross times 4 equals 9 2 to the power of o end exponent

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