As shown in the figure, in Young's double slit experiment, a thin plate of thickness t = 10 µm and refractive index µ = 1.2 is inserted in front of slit S1. The experiment is conducted in air (µ = 1) and uses a monochromatic light of wavelength λ = 500 nm. Due to the insertion of the plate, central maxima is shifted by a distance of xβ0.β0 is the fringe-width before the insertion of the plate. The value of the x is_____.
