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MHT CET20242 May 2024Morning ShiftPhysicsWave OpticsActual

The intensity of light coming from one of the slits in Young's double slit experiment is double the intensity from the other slit. The ratio of the maximum intensity to the minimum intensity in the interference fringe pattern observed is

Options

  1. A9: 1
  2. B34: 1
  3. C4: 1
  4. D16: 1

Correct answer

B. 34: 1

Step-by-step solution

Two coherent sources of intensities I₁ and I₂ produce, maximum intensity, I _ = ( I₁ + I₂ )^2 and minimum intensity, I_ min = ( I₁ - I₂ )^2 in an interference pattern. I_ max I_ min = ( I₁ + I₂ )^2 ( I₁ - I₂ )^2 = I₁+I₂+2 I₁ I₂ I₁+I₂-2 I₁ I₂ Given I ₁=2 I ₂ I_ I_ = 3 I ₂+2 2 I ₂ 3 I ₂-2 2 I ₂ = 3+2 2 3-2 2 =34

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