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Question

Light from a point source in air falls on a convex spherical glass surface ( refractive index = 1.5, radius of curvature = 20 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

Given,

Refractive index, μ=1.5

Radius of curvature, R=20cm

Object distance, u=100cm

Image distance, v=?

We know

μ2vμ1u=μ2μ1R

μ2=1.5

μ1=1

1.5v+1100=1.5120

1.5v=0.5201100

1.5v=3200

v=2003×1.5

v=100cm

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