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WBJEE · Physics · Wave Optics

X-rays of wavelength \(\lambda\) gets reflected from parallel planes of atoms in a crystal with spacing \(\mathrm{d}\) between two planes as shown in the figure. If the two reflected beams interfere constructively, then the condition for maxima will be, ( \(\mathrm{n}\) is the order of interference fringe)

  1. A \(\mathrm{d} \tan \theta=\mathrm{n} \lambda\)
  2. B \(\mathrm{d} \sin \theta=n \lambda\)
  3. C \(2 \mathrm{~d} \cos \theta=\mathrm{n} \lambda\)
  4. D \(2 \mathrm{~d} \sin \theta=\mathrm{n} \lambda\)
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Correct Answer

(D) \(2 \mathrm{~d} \sin \theta=\mathrm{n} \lambda\)

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Detailed explanation

Hint : \(2 \mathrm{~d} \sin \theta=\mathrm{n} \lambda\)
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