(a) Consider the light intensity distribution in an experiment using a S-slit grating The spacing between two adjacent slits is 3.0 um and light of wavelength 600-11111 is used in the experiment. Find the number, location and peak iniensig of the principal maximo that may be observed on a screen 2.0 m away if the intensity contributed by each slit is In. How many interference minimo are there between the central and the first princionl maximo on one side and where are they located? Find the number, location and peak intensities of all the secondary moxima between those two principal maximn. Draw a neat labelled diagram showing the intensity distribution in the region from the central and the first principal moximo. (3+6+2+3+=l+3+3+t'i+ll",I points) (b) So far the width of individual slits was neglected. Assume each slit to be 1.0 um wide. The overall intensity distribution will be modulated by the single-slit diffraction pattern. Describe quantitatively how the intensities of the principal maxima in Part (a) will change. (10 pts.)