Question

A beam of parallel rays is incident on a glass
sphere. Find the position of the image if the
refractive index of glass is 1.5 and the radius of
the sphere is 10 cm.​

Answer 1

We will have single surface refractions successively at the four surfaces S1,S2,S3, and S4. Do not forget to shift origin to the vertex of respective surface.

Refractive at first surface S1: Light travels from air to glass.

$\frac{1.5}{v1} - \frac{1}{ \infty } = \frac{1 - 1.5}{ + 10}$

v1=30 cm -

First image is object for the refraction at second surface.

For refraction at surface S2: Light travels from glass to air :- for more , Check the attachment :)