Newton's Rings — Radius FormulaHardQuestion 20254
Question
Radius of nth bright Newton's ring (radius of curvature R, wavelength λ, thin air film) in reflected light is:
- A√(nλR)
- B√((n+½)λR)Correct
- C√(nλ/R)
- DnλR
Correct answer
√((n+½)λR)
Explanation
For bright rings in reflected light: 2t = (n+½)λ (accounting for the π phase change). For a plano-convex lens: t = r²/(2R). So r² = (n+½)λR → r_n = √((n+½)λR).