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MHT CET202527 Apr 2025Evening ShiftPhysicsWave OpticsActual

In Young's double slit experiment, the separation between the slits is halved and the distance between the slits and the screen is doubled. The fringe width

Options

  1. Aremains unchanged.
  2. Bbecomes half.
  3. Cbecomes double.
  4. Dincreases four times.

Correct answer

A. remains unchanged.

Step-by-step solution

The fringe width in Young's double-slit experiment is determined by the relation = D d , where is the wavelength, D is the slit-to-screen distance, and d is the slit separation. When the slit separation is halved ( d' = d/2 ) and the screen distance doubled ( D' = 2D ), the new fringe width becomes: ' = D' d' = (2D) d/2 = 2 D d/2 = 4 D d = 4 The fringe width thus increases by a factor of four. Answer: D

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