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In two setups of Young's double-slit experiment, if lights used have the ratio of wavelengths as 1 : 2 , then fringes of equal width are observed. If the ratio of slit separation is 2 : 1 then the ratio of the distances between slit and screen D 1 : D 2 will be

Options

  1. A1 : 1
  2. B1 : 4
  3. C2 : 1
  4. D4 : 1

Correct answer

D. 4 : 1

Step-by-step solution

As β = λ D d For equal fringe widths λ 1 D 1 d 1 = λ 2 D 2 d 2 Or D 1 D 2 = d 1 d 2 × λ 2 λ 1 = 2 1 × 2 1 = 4 ∴ D 1 D 2 = 4 1

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