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:
- ABright (constructive at centre)
- BDark (destructive at centre)Correct
- CUnchanged
- DAbsent
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.