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In the given arrangement, the slits S 1 and S 2 are fixed at small separation d while the slits S 3 and S 4 have variable separation z . The screen is fixed and the slits are symmetric with respect to the centre of the screen. A parallel beam of light is incident as shown in figure. The minimum value of separation z so that the intensity at O is zero is

Options

  1. Aλ D d
  2. B2 λ D d
  3. Cλ D 2 d
  4. Dλ D 3d

Correct answer

A. λ D d

Step-by-step solution

For zero intensity at O , z 2 = λ D 2 d ⇒ z = λ D d

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