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Question: Answered & Verified by Expert
A parallel monochromatic beam of light is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the first minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of slit is
PhysicsWave OpticsVITEEEVITEEE 2023
Options:
  • A 0
  • B \(\pi\)
  • C \(\frac{\pi}{2}\)
  • D \(2 \pi\)
Solution:
1724 Upvotes Verified Answer
The correct answer is: \(2 \pi\)
In a single slit diffraction pattern, the path difference \((\Delta \mathrm{x})\) for \(n^{\text {th }}\) minima is given by \(\Delta \mathrm{x}=n \lambda\), where \(n= \pm 1, \pm 2, \pm 3, \ldots\)
or phase difference, \(\Delta \phi=n(2 \pi)\)
For \(1^{\text {st }}\) minimum, \(n=1\).
\(\therefore \Delta \phi=2 \pi\)

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