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Please show all work. All parts of this question have the same film of index of...

Please show all work. All parts of this question have the same film of index of refraction of 1.3, which is illuminated with colors of red and blue.

a. The wavelength of red is 650nm, wavelength of blue is 390nm. The film is positioned with upper surface containing the air and lower surface contacting oil with index of refraction of 1.22. What is the minimum thickness of this film which will provide strong reflection in magenta color? (Magenta is when you mix red and blue).

b. What is the next after minimum thickness of this film which will provide strong magenta reflection?

c. In given conditions, if this film would be extremely thin (5nm), how would it look in reflected light?

d. Now this film is taken from oil and placed on glass of refraction of 1.5. What is the minimum thickness providing strong magenta reflection now?

e. What is the next thickness providing strong magenta reflection for the film sitting on the glass?

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