As shown in the figure, in Young's double slit experiment, a thin plate of thickness
and refractive index
is inserted infront of slit
. The experiment is conducted in air
and uses a monochromatic light of wavelength
. Due to the insertion of the plate, central maxima is shifted by a distance of
is the fringe-width befor the insertion of the plate. The value of the
is

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Given 


When the glass slab inserted infront of one slit then the shift of central fringe is obtained by

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