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In the double slit experiment, 5 t h dark fringe is formed opposite to one of the slits. The wavelength of light is

Options

  1. Ad 2 6 D
  2. Bd 2 5 D
  3. Cd 2 15 D
  4. Dd 2 9 D

Correct answer

D. d 2 9 D

Step-by-step solution

For dark fringe, Y d D = 2 m - 1 λ 2 Here, m = 5 , Y = d 2 ∴ d 2 d D = 2 × 5 - 1 λ 2 Or d 2 D = 9 λ ∴ λ = d 2 9 D

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