A point object in air is placed 60 cm in front of a convex spherical surface separating air from glass of refractive index 1.50. The radius of curvature of the surface is +25 cm. Using the Cartesian sign convention, determine the image distance from the pole.
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Question

A point object in air is placed 60 cm in front of a convex spherical surface separating air from glass of refractive index 1.50. The radius of curvature of the surface is +25 cm. Using the Cartesian sign convention, determine the image distance from the pole.

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G1 Physics · Accepted Answer

Use μ₂/v − μ₁/u = (μ₂−μ₁)/R. Thus 1.50/v − 1/(-60) = (1.50−1)/25. Solving gives v = 450.00 cm.