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MHT CET202526 Apr 2025Evening ShiftPhysicsWave OpticsActual

In Young's double slit experiment, in an interference pattern second minimum is observed exactly in from of one slit. The distance between the two coherent sources is ' d ' and the distance between source and screen is 'D'. The wavelength of light source used is

Options

  1. Ad ^2 4 D
  2. Bd ^2 3 D
  3. Cd ^2 2 D
  4. Dd ^2 D

Correct answer

B. d ^2 3 D

Step-by-step solution

In Young's double-slit experiment with slit separation d and screen distance D , the path difference at position y is given by x = yd D . For the second minimum, the condition x = (n - 1 2 ) with n=2 yields x = 3 2 . Since the minimum is observed exactly in front of one slit, set y = d 2 and equate the expressions: (d/2)d D = 3 2 , which simplifies to d^2 2D = 3 2 . Solving for gives = d^2 3D , corresponding to option B. Final answer: B

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