Solve the all parts of given question:
Question: An interference filter is constructed from two semi reflecting mirrors (r2 = 0.5) separated by a film of plastic which has an index of refraction of 1.35. The pass band of the filter is to be centered at 550 nm for normal incidence.
Part A: Determine the thickness of the plastic film for the first two orders of interference.
Part B: Determine the Chromatic resolving power for these first two orders (normal incidence)
Please show all work and clearly explain. Thank you.