The thinnest film that will strongly reflect light having a wave of 600nm in the film is?
to get a strong reflection, you want a film that is half the length of the wavelength it's reflecting, so that the reflection constructively interferes with the incident light. So, 600nm/2 = 300nm, which is how thick you want your film to be.
the formula for constructive interference would be t = n?/2, where n is any positive integer and ? is the wavelength of the light inside the medium (NOT the original wavelength!). In this particular case, the thinnest such situation is found simply by selecting n = 1, which is what gave us t = ?/2.
The strong reflection occurs when the light reflected from the oil and water interfere.
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