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MHT CET20225 Aug 2022Evening ShiftPhysicsWave OpticsActual

In Young's double slit experiment the two slits are 'd' distance apart. Interference pattern is observed on a screen at a distance ' D ' from the slits The first dark fringe is observed on the screen directly opposite to one of the slits. The wavelength of light is

Options

  1. AD ^2 2 ~d
  2. BD ^2 ~d
  3. Cd ^2 2 D
  4. Dd ^2 D

Correct answer

D. d ^2 D

Step-by-step solution

The dark fringe is produced at a point just opposite to the slit, i.e., y= d 2 For dark fringe: y =(2 n -1) D 2 ~d where, n =1,2,3, . . is the order of the fringe. aligned & d 2 =(2 n-1) D 2 d & = d^2 (2 n-1) D aligned For n =1, = d ^2 D

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