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MHT CET202619 April 2026Morning ShiftPhysicsWave OpticsActual

In Young's 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. An 2
  2. B(2n + 1)
  3. C(2n - 1)
  4. D(2n - 1) 2

Correct answer

C. (2n - 1)

Step-by-step solution

For destructive interference (dark fringes) in Young's double slit experiment, the path difference x is an odd multiple of 2 . For the n^ th dark fringe, where n = 1, 2, 3, , the path difference is given by: x = (2n - 1) 2 The phase difference is related to the path difference by: = 2 x Substituting the value of x : = 2 (2n - 1) 2 = (2n - 1) Answer: (2n - 1)

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