Problem 3 (30pts) Explain your work | incoming light A thin film of oil sits on top of a layer of water, as shown. The oil film has thickness d, the air n =1 minimum nonzero thickness necessary to maximize reflection of light of wavelength (in air) 560 nm when incident normally on the oil oil n = 1.4 (n=1.40). Reflections 1, 2, and 3 are directed along the same line as the incoming light but are drawn at an angle (as done in class). Assume, as water n = 1.33 in class, that at each boundary you have 4% reflection and 96% transmission. a. You can ignore reflection 3 in this analysis. Why? b. Does the light experience a phase shift when it reflects at the air-oil interface (location A in the | incoming light figure)? Write 0 or n at A to give your answer and air n =1 explain briefly. RC oil n = 1.4 water n = 1.33 Does the light experience a phase shift when it reflects at the oil-water interface (location B in the figure)? Write 0 or n at A to give your answer and explain briefly. Does the light experience a phase shift when it reflects at the oil-air interface (location C) and the oil-water interface (location D)? Write 0 or n at C and D. No explanation required.c. Using Ap = - Ax + Apo, what must be the phase difference between reflections 1 and 2? d. Find the thickness d of the oil film. Explain your work. e. If the thickness of the oil film were reduced to almost zero (let's say d becomes 1 nm), what would you see in reflection? Explain