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

Answer

Correct option: C.
$\sin ^{-1}\left(\frac{\mathrm{n} \lambda}{2 \mathrm{~d}}\right)$
$\sin ^{-1}\left(\frac{\mathrm{n} \lambda}{2 \mathrm{~d}}\right)$

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