In recent times the principle of the Michelson intereferometeris being used in an attempt to detect gravitational waves (LIGOexperiment). A successful measurement requires an accuracy of10-16cm. Assuming t hat the light is reflected only once in eacharm and the wavelength of the laser is 632.8 nm, calculate therelative change of the intensity in the center of the image. (forsimplicity assume that the intensity is zero for minimum and 1 formaximum of the interference patterns and that the alignment is suchthat intensity in the center of the screen is at 0.5).