Wave Optics · Class 12 · CBSE · Science Physics

In a Young's double-slit experiment using monochromatic light, the fringe width is b. If the distance between the slits is halved and the distance be…

Practice question from Wave Optics (Class 12 · CBSE · Science Physics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-5FF499

In a Young's double-slit experiment using monochromatic light, the fringe width is bb. If the distance between the slits is halved and the distance between the screen and the slits is doubled, the new fringe width will be:

  1. A.b/4b / 4
  2. B.b/2b / 2
  3. C.2b2b
  4. D.4b4bCorrect answer

Solution

Fringe width is β=λDd\beta = \frac{\lambda D}{d}. Given d′=d/2d' = d/2 and D′=2DD' = 2D. Thus, β′=λ(2D)d/2=4(λDd)=4b\beta' = \frac{\lambda (2D)}{d/2} = 4 \left(\frac{\lambda D}{d}\right) = 4b.

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