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Refractive Index

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Question

Light from a point source in air falls on a convex spherical glass surface of refractive index $1.5$ and radius of curvature $80$ cm. The distance of light source from the glass surface is $100$ cm. At what position is the image formed?

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Solution

By this formula
n2/v - n1/u = (n2-n1)/R
1.5/v = (1.5-1)/20 + 1/-100
1.5/v = 5/200 - 1/100
1.5/v = 5-2/200
1.5/v = 3/200
v = 1.5x200/3 = 100

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