Question

A small dot is inside a glass ball 2.6 cm from the surface. The diameter of the ball is 9 cm. As you look at the ball with the dot turned toward you, how far beneath the surface, in cm, does the dot appear to be? Start with a symbolic equation and draw a diagram to define symbols in the equations.

Answer 1

This can be explained on the basis of refraction from the curved surface.

Where is refractive index of first medium which is glass, is refractive index of second medium which is air and R is radius of curvature of surface.

So,

As .

means 1.92cm below the surface.