JEE Physics · Hard

Electromagnetic Waves and Wave Optics: Interference with Initial Phase Difference MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Interference with Initial Phase DifferenceHardQuestion 20246

Question

Two coherent sources with a constant phase difference of π (antiphase) are placed at the slit positions in YDSE. The central fringe is:
  1. A
    Bright (constructive at centre)
  2. B
    Dark (destructive at centre)
    Correct
  3. C
    Unchanged
  4. D
    Absent

Correct answer

Dark (destructive at centre)

Explanation

At the centre, geometric path difference = 0. But since sources are antiphase (phase difference π), the actual phase difference at centre = 0 + π = π → destructive interference → dark central fringe. The entire pattern shifts by half a fringe width.