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A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by n left parenthesis y right parenthesis equals open square brackets k y to the power of 3 divided by 2 end exponent plus 1 close square brackets to the power of 1 divided by 2 end exponent where k equals 1.0 left parenthesis m right parenthesis to the power of negative 3 divided by 2 end exponent The refractive index of air is 1 The coordinates (x1, y(A) of the point P where the ray intersects the upper surface of the slabair boundary are

  1. (1, (D)    
  2. (4, (B)    
  3. (4, (A)    
  4. (4, (C)    

The correct answer is: (4, (A)

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A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by n left parenthesis y right parenthesis equals open square brackets k y to the power of 3 divided by 2 end exponent plus 1 close square brackets to the power of 1 divided by 2 end exponent where k equals 1.0 left parenthesis m right parenthesis to the power of negative 3 divided by 2 end exponent The refractive index of air is 1 Equation for the trajectory y(x) of the ray in the medium is

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