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Two plane mirrors are placed parallel to each other at a distance 4 d as shown in the figure. The point source of light S is having wavelength equal to λ . The light is reaching the screen (right of the source) only after reflection. For point P to be 2nd maxima, the value of λ 2 = K d 2 D . Where K is an integer. Find value of K ? (assume D ≫ d and d ≫ λ )

Options

  1. A6
  2. B2
  3. C3
  4. D4

Correct answer

A. 6

Step-by-step solution

At P: Path difference ∆ x = 8 d × 3 d D For 2 n d maxima ∆ x = 2 λ = 24 d 2 D ; λ = 12 d 2 D λ 2 = 6 d 2 D = k d 2 D ⇒ k = 6

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