Question

A small piece of paper is stuck on the surface of the glass sphere of radius 10 cm and refractive index 1.5. The paper is viewed from diametrically opposite side. 

a. Represent the image formation using a ray diagram. 

b. Determine the image position.

Answer 1

a. 

b. Using,

\(\frac{n_2}{v} - \frac{n_1}{u} = \frac{n2 - n1}{R}\) 

Here,

u = -20 cm, R = -10 cm, n₁ = 1.5, n₂ = 1

Upon substituting and calculating 

1/v = -1/40

v = -40 cm 

Image is formed 20 cm behind the glass ball.