Wave OpticsHard

Question

In a Young’s double slit experiment the slits S1 & S2 are illumined by a parallel beam of light of wavelength 4000, from the medium of refractive index n1 = 1.2 A thin film of thickness 1.2μm and refractive index n = 1.5 is placed infront of S1 perpendicular to path of light. The refractive index of medium between plane of slits & screen is n2 = 1.4 If the light coming from the film and S1 & S2 have equal intensities I then intensity at geometrical central of the screen O is -

Options

A.0
B.2I
C.4I
D.None of these

Solution

Path difference at O : (μrel - 1) t = t
∴ Phase difference at O : t where n1λ1 = n2 λ2
⇒ Phase difference = ⇒Resultant intensity = 2I

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