A double slit experiment is performed with light of wavelength 500 run. A thin film of thickness 2 μm and refractive index 1.5 is introduced in the path of the upper beam. The location of the central maximum will
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a
remain unshifted
b
shift downward by nearly two fringes
c
shift upward by nearly two fringes
d
shift downward by 10 fringes
answer is C.
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Detailed Solution
If shift is equal to n fringes width, thenn=(μ−1)tλ=(1.5−1) × 2 × 10−6500 × 10−9=1500 × 103 = 2Since a thin film is introduced in upper beam. So shift will be upward.