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The intensity of each of the two slits in Young's double slit experiment is I₀ . Calculate the minimum separation between the points on the screen, where intensities are 2 I₀ and I₀ . If fringe width is b

Options

  1. Ab 5
  2. Bb 8
  3. Cb 12
  4. Db 4

Correct answer

C. b 12

Step-by-step solution

We know that, intensity, I=4 I₀ ^2 2 aligned & Case I 2 I₀=4 I₀ ^2 2 & = 2 x & 2 = 2 Y₁ d D [ x= Y₁ d D and = 2 ] & Y₁= D 4 d ......(i) & aligned Case II I₀=4 I₀ ^2 2 = 2 x 2 3 = 2 Y₂ d D [ = 2 3 . and . x y₂ d D ] Y₂= D 3 d .....(ii) Y=Y₂-Y₁= D 3 d - D 4 d = D 12 d D d =b [given] Y= b 12

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