White light is incident on the surface of an oil slick (thin film) on water at an angle of 33 degrees from the normal. Given that the index of refraction of water is 1.33 and that of the oil is 1.4 a, write the expression of the phase change of the refracted wave after emerging from the oil slick (phi2) b, write the expression of the phase difference between the two waves (delta phi) c, Write the condition of perfect destructive interference in this case. d, make the thickness of the oil film (t) the subject of your expression in c), simplify it and write t as function of m and lambda. e, compute the smallest thickness of the oil film that will suppress the reflection of the green light of 532 nm wavelength. f, which thickness will be required to produce the next complete destructive interference of this green light in the reflection spectrum?

White light is incident on the surface of an oil slick (thin film) on water at an angle of 33 degrees from the normal. Given that the index of refraction of water is 1.33 and that of the oil is 1.4 a, write the expression of the phase change of the refracted wave after emerging from the oil slick (phi2) b, write the expression of the phase difference between the two waves (delta phi) c, Write the condition of perfect destructive interference in this case. d, make the thickness of the oil film (t) the subject of your expression in c), simplify it and write t as function of m and lambda. e, compute the smallest thickness of the oil film that will suppress the reflection of the green light of 532 nm wavelength. f, which thickness will be required to produce the next complete destructive interference of this green light in the reflection spectrum?