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A printed page is pressed by a glass of water. The refractive index of the glass and water is 1.5 and 1.33 , respectively. If the thickness of the bottom of glass is 1 ~cm and depth of water is 5 ~cm , how much the page will appear to be shifted if viewed from the top ?

Options

  1. A1.033 ~cm
  2. B3.581 ~cm
  3. C1.3533 ~cm
  4. D1.90 ~cm

Correct answer

C. 1.3533 ~cm

Step-by-step solution

Real depth =5 ~cm +1 ~cm =6 ~cm Apparent depth = d ₁ ₁ + d ₂ ₂ + = 5 1.33 + 1 1.5 3.8+0.7 4.5 ~cm Shift =6 ~cm -4.5 ~cm 1.5 ~cm

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