A point object in air is situated 28 cm from the pole of a convex spherical refracting surface. The medium beyond the surface has refractive index 1.35 and the radius of curvature is +18 cm. Find the image distance from the pole and use its sign to identify the side on which the image is formed.
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Question

A point object in air is situated 28 cm from the pole of a convex spherical refracting surface. The medium beyond the surface has refractive index 1.35 and the radius of curvature is +18 cm. Find the image distance from the pole and use its sign to identify the side on which the image is formed.

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G1 Physics · Accepted Answer

Using μ₂/v − μ₁/u = (μ₂−μ₁)/R with μ₁=1, u=-28 cm, μ₂=1.35 and R=+18 cm: 1.35/v − 1/(-28) = (1.35−1)/18. Hence v=-82.98 cm.