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)
multiple of

⇒
⇒ d2 + b2 = d2 +
⇒
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