(Solution) - Figure a shows a lens with radius of curvature R lying on -(2025 Original AI-Free Solution)

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Figure a shows a lens with radius of curvature R lying on a flat glass plate and illuminated from above by light with wavelength ? Figure b, (a photograph taken from above the lens) shows that circular interference fringes (called Newton's rings) appear, associated with the variable thickness d of the air film between the lens and the plate. Find the radii r of the interference maxima assuming r/R << 1.