A single liquid-gas interface has principal radii of curvature R₁ and R₂ at a point. Which expression gives the pressure difference across the interface according to the Young-Laplace relation?
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Question

A single liquid-gas interface has principal radii of curvature R₁ and R₂ at a point. Which expression gives the pressure difference across the interface according to the Young-Laplace relation?

G1 Physics · Accepted Answer

For a single curved liquid-gas interface, the Young-Laplace equation is ΔP = S(1/R₁ + 1/R₂). For a sphere, R₁ = R₂ = R, so the relation becomes ΔP = 2S/R. Thus the general expression is S(1/R₁ + 1/R₂). Correct option: B.