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In young's double slit experiment performed using a monochromatic light of wavelength λ , when a glass plate μ = 1 . 5 of thickness x λ is introduced in the path of the one of the interfering beams, the intensity at the position where the central maximum occurred previously remains unchanged. The value of x will be

Options

  1. A3
  2. B2
  3. C1 . 5
  4. D0 . 5

Correct answer

B. 2

Step-by-step solution

Since the intensity at the central maxima remains unchanged, the change in the path difference should be an integral multiple of the wavelength. Therefore, Δ x = μ - 1 t = n λ ⇒ 1 . 5 - 1 x λ = n λ ⇒ x = n 0 . 5 = 2 n For n = 1 x = 2

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