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Using monochromatic light of wavelength λ , an experimentalist sets up the Young's double slit experiment in three ways as shown. If she observes that y ⁡ = β ′ , the wavelength of light used is :

Options

  1. A520 nm
  2. B580 nm
  3. C540 nm
  4. D560 nm

Correct answer

C. 540 nm

Step-by-step solution

β = λ D d . ∴ β 1 = λ 2 D d. Now shift = μ - 1 t D d y = β 1 μ - 1 t D d = λ . 2 D d λ = μ - 1 t 2 = 1.6 - 1 × 1.8 2 = 0.6 × 1.8 2 μ m = 0.3 × 1.8 μ m = 0.54 μ m = 540 nm

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