Problem #2 (20 Points) - Show your work!!! In a double-slit experiment, the angle for the first interference side maximum is measured to be 0.0011 rad when light with wavelength 550 nm is used. The observation screen is placed 2.0 m from the slits. (a) (4 pts) Calculate the separation between the two slits (b) (6 pts) Calculate the location of the third interference side minimum on the screen, relative to the central axis: (c) (6 pts) Calculate the width that each slit must have so that the rst diffraction minimum exactly corresponds to the third interference side minimum discussed above. (d) (4 pts) Describe in a few sentences andfor equations how the pattern on the screen would change if the whole apparatus were submerged in water (n = 1.33). Would both the diffraction and the double-slit patterns change