A two-slit Young's interference experiment is done with monochromatic light of wavelength

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Problem

A two-slit Young's interference experiment is done with monochromatic light of wavelength 6000 A˚6000\ \text{\AA}. The slits are 2 mm2\ \text{mm} apart. The fringes are observed on a screen placed 10 cm10\ \text{cm} away from the slits. A transparent plate of thickness 0.5 mm0.5\ \text{mm} is placed in front of one slit, and the interference pattern shifts by 5 mm5\ \text{mm}. The refractive index of the transparent plate is (a) 1.21.2 (b) 0.60.6 (c) 2.42.4 (d) 1.51.5

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