MCQ
A beam with wavelength $\lambda$ falls on a stack of partially reflecting planes with separation $d$. The angle $\theta$ that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where $n=1,2, \ldots .$. )
Image
  • A
    $\sin ^{-1}\left(\frac{n \lambda}{d}\right)$
  • $\tan ^{-1}\left(\frac{n \lambda}{d}\right)$
  • C
    $\sin ^{-1}\left(\frac{n \lambda}{2 d}\right)$
  • D
    $\cos ^{-1}\left(\frac{n \lambda}{2 d}\right)$

Answer

Correct option: B.
$\tan ^{-1}\left(\frac{n \lambda}{d}\right)$

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