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White light is used to illuminate the two slits in Young's double-slit experiment. The separation between two slits is x and the screen is at distance z > > x from the slits. At a point on the screen directly in front of one of the slit which wavelength is absent?

Options

  1. A2 x 2 z
  2. B3 x 2 z
  3. Cx 2 5 z
  4. Dx 2 2 z

Correct answer

C. x 2 5 z

Step-by-step solution

y n t h   d a r k = 2 n - 1 λ D 2 d = 2 n - 1 × z 2 x x 2 = 2 n - 1 2 λ z x λ = x 2 2 n - 1 z λ = x 2 z for n = 1 λ = x 2 3 z for n = 2 λ = x 2 5 z for n = 3

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