1. Recall the situation from tutorial, Cross-sectional side view in which light of frequency (The thickness of the film f=7.5 x 10" Hz is incident from is greatly exaggerated.) the left side of a thin soap film (n = 4/3). Air Soup film Air The cross-sectional side view diagram at right extends the ray diagram that you drew in tutorial. It shows the incident ray and several sets of rays resulting from transmission and reflection at the first (left) and second (right) boundaries. The ray that results Second boundary from the second reflection from the second (right) boundary is not First boundary shown. For the remainder of this problem, assume that the light is incident from the left side of the film at essentially normal incidence. a. For the two rays that pass through the second boundary and into the air, what are the three smallest film thicknesses for which these rays would: constructively interfere? Explain. ii. destructively interfere? Explain. b. Recall from section III of the tutorial the pattern that is observed from the left side of the film. "Thinnest part of soap film How, if at all, would the pattern seen from the right side of the film be different from the pattern seen from the left side of the film? Use your results from part a above to help justify your answer. Air Air Cross-sectional side view (not to scale)2. A plate of glass (n = 1.5) is placed over a flat plate of plastic (n = 1.2). A thin film Glass (n = 15) Water film of water (n = 1.33) is trapped between the Plastic (n = 1.2) (A = 1.33) plates as illustrated in the diagram at right. Light of frequency f= 4.8 x 10" Hz is incident from above at essentially normal incidence. The locations of the dark and bright fringes, as viewed from above, are indicated in the top view diagram at right. In this problem, ignore reflections from the top surface of the glass plate and the bottom surface of the plastic. a. Are the plates in contact at point A (where the plate appears dark) or at point B (where the plate appears bright)? Explain your reasoning. .B b. Determine the thickness of the gap between the plates at the end where the plates are nor in contact. (Express your answer in mm.) Show all work. c. Suppose that the film of water between the plates were replaced with a film of air. i. Would a bright or dark fringe be seen at the point where the two plates are in contact? Explain your reasoning. ii. Would adjacent bright fringes be closer together, farther apart, or in the same locations as before? Explain your reasoning