A point object O placed in air lies on the principal axis of a convex spherical surface of radius of curvature R. The surface separates air (μ₁ = 1) from a glass medium (μ₂ = 1.5). The object is place

Question

A point object O placed in air lies on the principal axis of a convex spherical surface of radius of curvature R. The surface separates air (μ₁ = 1) from a glass medium (μ₂ = 1.5). The object is placed at a distance of 3R from the pole of the surface. At what distance from the surface, (pole) inside

Accepted Answer

Answer: 9R — μ₂/v − μ₁/u = (μ₂ − μ₁)/R ⇒ 1.5/v − 1/(−3R) = (1.5 − 1)/R ⇒ solving gives v = 9R.

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