The Young's double-slit experiment is done in a medium of refractive index `4//3`. A light of 600 nm wavelength isfalling on the slits having 0.45 mm separation. The lower shift `S_(2)` is covered by a thin glass sheet of refractive index. 1.5. The interference pattern is observed on a screen placed 1.5 m from the slits as shown in Figure
a. Find the location of central maximum (bright fringe with zero path difference) on the y-axis.
b. Find the light intensity of point O relative to the maximum fringe intensity.
c. Now , if 600 nm light is replaced by white light of range 400 - 700 nm, find the wavelengths of the light that from maxima exaclty at point O.
(All wavelength in the problem are for the given medium of refractive index `4//3` Ignoe dispersion.)

Explanation

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