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Solve the following problem given below:

Problem: An interference filter is constructed from two semireflecting 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 I: Determine the thickness of the plastic film for the first two orders of interference.

Part II: Determine the Chromatic resolving power for these first two orders (normal incidence).

I don't just need an answer, work and explanations/walkthrough would be much appreciated! Thanks.

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