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YDSE: Fringe Width & Fringe Positions question from JEE Main 2013

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YDSE: Fringe Width & Fringe Positions

Two coherent point sources S1S_1 and S2S_2 are separated by a small distance ′d′'d' as shown. The fringes obtained on the screen will be

Figure

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Answer: (d)

  1. S1S_1 and S2S_2 lie on the line perpendicular to the screen, so the arrangement is symmetric about this axis.
  2. Path difference at a point on the screen depends only on its distance from the foot of this axis: Δx≈dcos⁡θ\Delta x \approx d\cos\theta.
  3. Points with equal path difference lie on a circle centred on the axis, so each fringe is a circle.
  4. So the answer is (d) concentric circles.
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