28) Light of wavelength 1 in air (index of refraction n ) is sent into a Mirror 2 Michelson interferometer. A thin film with index of refraction n, (>n.) is placed in the light path between the beam splitter and mirror 1, Mirror 1 Laser perpendicular to the optical path, as shown. This causes a shift of AN bright fringes in the pattern. (Hint: this is similar to inserting the vacuum Beam splitter Thin film of chamber in the light path, but has the opposite effect since n, > n.) thickness t a) Find an equation for the film thickness / only in terms of the given Detector quantities. b) Find tif 1 =589 nm , n, =1.00, n =1.40, and AN =5.00