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The ratio of intensities at two points P and Q on the screen in a Young's double slit experiment where phase difference between two wave of same amplitude are 3 and 2 , respectively are

Options

  1. A1: 3
  2. B3: 1
  3. C3: 2
  4. D2: 3

Correct answer

C. 3: 2

Step-by-step solution

Intensity at a point in Young's double slit experiment is given by I = I ₁+ I ₂+2 I ₁ I ₂ Here I ₁= I ₂= I ₀ (say) At P I _ p = I ₀+ I ₀+2 I ₀ 3 =2 I ₀+2 I ₀ 1 2 =3 I ₀ At Q I _ Q = I ₀+ I ₀+2 I ₀ 90^ =2 I ₀ I _ P I _ Q = 3 2

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