Wave OpticsHard

Question

White light is used to illuminate two slits in a Young′s doubles slit experiment. The separation between the slit is b and the screen is at a distance d (> > b) from the slits. At a point on the screen directly  in front of one of the slits, certain wavelengths are missing. Some of these missing wavelengths are :

Options

A.λ = b2/d
B.λ = 2b2/d
C.λ = b2/3d
D.λ = 2b2/3d

Solution

Separation between slits  = b, screen distance d (>>b) Path difference at ′O′ must be odd
multiple of   for missing wavelengths S2O - S1O =

- d =
⇒ d2 + b2 = d2 + + 2 × d
(n = 1, 3, 5)

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