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In Young's double-slit experiment, in an interference pattern, the second minimum is observed exactly in front of one slit. The distance between the slits is d and the distance between source and screen is D . The wavelength of the light source used is

Options

  1. Ad 2 D
  2. Bd 2 2 D
  3. Cd 2 3 D
  4. Dd 2 4 D

Correct answer

C. d 2 3 D

Step-by-step solution

Distance of second minima from central point is y = d 2 . We know that minima is given by, dsinθ =   n - 1 2 λ dy D =   2 - 1 2 λ d   2 = D d 2 × 2 - 1 2 λ ∴ d 2 = D d × 3 2 λ ∴ λ = d 2 3 D

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