The Shimmering Oil Puddle · AI Generator #GEN-4B4989CF

Physics · optics

Problem

A thin oil puddle on a wet road creates beautiful rainbow patterns due to thin film interference. The oil has a refractive index of noil=1.45n_{oil} = 1.45 and sits on top of water with nwater=1.33n_{water} = 1.33. When white light from the sun illuminates the puddle at normal incidence, you observe that light of wavelength λ=550  nm\lambda = 550\;\text{nm} (green) undergoes destructive interference in the reflected light, creating a dark band. This occurs at the minimum possible thickness where this wavelength experiences destructive interference. What is the thickness of the oil film at this location?

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