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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 waves of same amplitude are π 3 and π 2 , respectively are

Options

  1. A2   :   3
  2. B1   :   3
  3. C3   :   1
  4. D3   :   2

Correct answer

D. 3   :   2

Step-by-step solution

The formula to calculate the intensity of the interference pattern in Young's double slit experiment can be written as I = 4 I 0 cos 2 ϕ 2       . . . 1 Hence, the ratio of the required intensities can be calculated as follows- I 1 I 2 = 4 I 0 cos 2 π 6 4 I 0 cos 2 π 4 = 3 4 1 2 = 3 2

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