Wave OpticsHard
Question
In Young′s double slit experiment, a mica sheet of thickness t and refractive index μ is introduced in the path of ray from the first source S1. By hoe mach distance the fringe pattern will displaced :-
Options
A.
(μ - 1) t
(μ - 1) tB.
(μ - 1) t
(μ - 1) tC.
D. (μ - 1)
(μ - 1) Solution
Mica sheet of thickness ′t′
Refraction index ′μ′
ᐃXP = S2P - [(S1P - t)air + tsheet]
= (S2P - S1P) - (μt - t)
= d sin θ - (μ - 1)t
Additional path difference
Position of nth maxima
nλ =
- (μ - 1) t ⇒ yn = 
(μ - 1) t
Shift of interference pattern =
(μ - 1) t
Refraction index ′μ′
ᐃXP = S2P - [(S1P - t)air + tsheet]
= (S2P - S1P) - (μt - t)
= d sin θ - (μ - 1)t
Additional path difference
Position of nth maxima
nλ =
- (μ - 1) t ⇒ yn = (μ - 1) tShift of interference pattern =
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