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A two slit Young's interference is done ...

A two slit Young's interference is done with monochromatic light of wavelength 6000Å. The slites ar e2mm apart and fringes are observed on a screen placed 10cm away fromm the slits and it is found that the interference pattern shifts by 5mm, when a transparent plate of thickness 0.5mm is introduced in the path of one of slits. What is the refractive index of the transparent plate?

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