A beam with wavelength $\lambda$ falls on a stack of partially reflecting planes with separation $d$. The angle $ heta$ that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where $n = 1,\ 2,\ldots\ldots$)

Question

A beam with wavelength $\lambda$ falls on a stack of partially reflecting planes with separation $d$. The angle $	heta$ that the beam should make with the planes so that the beams reflected from successive planes may interfere constructively is (where $n = 1,\ 2,\ldots\ldots$)

Dr. Abubacker · Accepted Answer

(c) Path difference $= 2d\sin	heta$
$	herefore$ For constructive interference
$2d\sin	heta = n\lambda$
$\Rightarrow 	heta = \sin^{- 1}\left( \frac{n\lambda}{2d} ight)$

Q. 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 $n = 1,\ 2,\ldots\ldots$)

Explanation

Reviewed by Dr. Abubacker

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