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A parallel beam of light of intensity I is incident on a glass plate. 25 % of light is reflected by upper surface and 50 % of light is reflected from lower surface. Rest of the light is refracted. Above two reflected rays interfere, the ratio of maximum to minimum intensity in interference region is

Options

  1. A( 1 2 + 3 8 1 2 - 3 8 )^2
  2. B( 1 4 + 3 8 1 4 - 3 8 )^2
  3. C5 8
  4. D8 5

Correct answer

A. ( 1 2 + 3 8 1 2 - 3 8 )^2

Step-by-step solution

Let the intensity of the incident light be I . Intensity of light reflected from the upper surface is: I₁ = 25 % I = I 4 Intensity of light refracted into the glass plate is: I_t = I - I 4 = 3I 4 At the lower surface, 50 % of this light is reflected. Thus, the intensity of light reflected from the lower surface is: I₂ = 50 % 3I 4 = 3I 8 This light emerges from the upper surface to interfere with the first reflected ray. Neglecting any further reflection at the upper boundary, the intensities of the two interfering

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