Question

A spherical convex surface of radius of curvature R separates glass (refractive index 1.5) from air. Light from a point source placed in air at distance R/2 from the surface falls on it. Find the position and nature of the image formed.

Answer 1

Given: R₁ = R₂

u = `-R/2`

μ₁ = 1

μ₂ = 1.5

To find v,

`mu_2/v - mu_1/u = ((mu_2 - mu_1)/R)`

Substituting values, we will have v = −R 

The nature of the image will be real and inverted.