A double slit experiment is done with monochromatic light of wavelength \( 6000 \AA \). Slits ar...

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A double slit experiment is done with monochromatic light of wavelength \( 6000 \AA \). Slits are \( 2 \mathrm{~mm} \) apart and fringes are observed on a screen placed \( 10 \mathrm{~cm} \) away from the slits. If a transparent plate of thickness \( 0.5 \mathrm{~mm} \) is placed in front of one of the slit, interference pattern shifts by \( 5 \mathrm{~mm} \). Then refractive index of transparent plate should be
(a) 1.1
(b) 1.2
(c) 1.3
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