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An oil film (n = 1.45) floating on water...

An oil film `(n = 1.45)` floating on water is illuminated by white light at normal incidence. The film is 280 nm thick. Find (a) the color or the light in the visible specturm most strongly reflected and (b) the color of the light in the specturm most strongly transmitted. Explain your reasoning.

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To solve the problem, we need to analyze the interference of light in the oil film. The oil film has a refractive index \( n = 1.45 \) and a thickness \( t = 280 \, \text{nm} \). We will find the color of the light that is most strongly reflected and the color that is most strongly transmitted. ### Step-by-Step Solution: #### Part (a): Color of Light Most Strongly Reflected 1. **Understanding Interference**: When light hits the oil film, some of it is reflected from the top surface (air-oil interface) and some from the bottom surface (oil-water interface). The reflected light can interfere constructively or destructively depending on the path difference and the phase change upon reflection. ...
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