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MHT CET · Physics · Wave Optics

In Young's double slit experiment, for the \(n\)th dark fringe ( \(n=1,2,3 \ldots\) ) the phase difference of the interfering waves in radian will be

  1. A \(n \frac{\pi}{2}\)
  2. B \((2 n+1) \pi\)
  3. C \((2 n-1) \pi\)
  4. D \((2 n-1) \frac{\pi}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \((2 n-1) \pi\)

Step-by-step Solution

Detailed explanation

Phase difference \( \Delta \phi = \frac{2\pi}{\lambda} \Delta x \) For \(n\)th dark fringe, path difference \( \Delta x = (2n-1)\frac{\lambda}{2} \)
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