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MHT CET20227 Aug 2022Evening ShiftPhysicsWave OpticsActual

In Young' double slit experiment, for the n^ th dark fringe ( n=1,2,3 .....) the phase difference of the interfering waves in radian will be

Options

  1. A(2 n-1)
  2. B(2 n+1)
  3. Cn 2
  4. D(2 n-1) 2

Correct answer

B. (2 n+1)

Step-by-step solution

The resultant intensity of the interfering waves is given by, E ^2 E ₁^2+ E ₂^2+2 E ₁ E ₂ ( ) where, is the phase difference between the waves. For a dark fringe, E ₁= E ₂ and ( )=-1 . Therefore, the phase =(2 n+1) is an odd multiple of pi.

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