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Question

When the rectangular metal tank is filled to the top with an unknown liquid, as observer with eyes level with the top of the tank can just see the corner E; a ray that refracts towards the observer at the top surface of the liquid is shown. The refractive index of the liquid will be

  1. 1.2    
  2. 1.4    
  3. 1.6    
  4. 1.9    

The correct answer is: 1.2


    Light ray is going from liquid (Denser) to air (Rarer) and angle of refraction is 9 0 to the power of o end exponent, so angle of incidence must be equal to critical angle
    from figure

    sin invisible function application C equals fraction numerator 4 over denominator 5 end fraction
    Also mu equals fraction numerator 1 over denominator sin invisible function application C end fraction equals fraction numerator 5 over denominator 4 end fraction equals 1.2

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