Geometrical OpticsHard

Question

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

Options

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

Solution

       
At P (directly infront of S1) y =
∴ Path difference,
ᐃ X = S2P - S1P
     
Those wavelength will be missing for which
     ᐃX = .....
∴    λ1 = 2ᐃx =
      λ2 =
      λ3 =
Correct options are (a) and (c).

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