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A double slit experiment is done with mo...

A double slit experiment is done with monochromatic light of wavelength `6000 Å`. Slits are 2 mm apart and fringes are observed on a screen placed 10 cm away from the slits. If a transparent plate of thickness 0.5 mm is placed in front of one of the slit, interference pattern shifts by 5 mm. Then refractive index of transparent plate should be :

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