In a Young's double-slit type interference experiment, with the distance between the slits 0.5 mm and the wavelength of light is 6000 (what color does it correspond to?), the distance between bright fringes observed on the screen is 1 mm. 1) What is the distance from the slits to the screen? 2) It is known that when a thin transparent plate of thickness t and refractive index is introduced in the path of one of the two interfering monochromatic beams, fringe shift occurs. If their wavelength is , show that ( - 1)t = n, (n integer). How much is the lateral shift of fringes on the screen if a glass plate of 0.1 mm and refractive index 1.5 is placed?

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