A coin is at the bottom of a trough containing three immiscible liquids of refractive indices 1.3, 1.4 and 1.5 poured one above the other of heights 30 cm, 16 cm, and 20 cm respectively. What is the apparent depth at which the coin appears to be when seen from air medium outside? In which medium the coin will appear?

What is the radius of the illumination when seen above from inside a swimming pool from a depth of 10 m on a sunny day? What is the total angle of view? [Given, refractive index of water is 4/3]

A optical fibre is made up of a core material with refractive index 1.68 and a cladding material of refractive index 1.44. What is the acceptance angle of the fibre if it is kept in air medium without any cladding?

The thickness of a glass slab is 0.25 m. It has a refractive index of 1.5. A ray of light is incident on the surface of the slab at an angle of 60^o. Find the lateral displacement of the light when it emerges from the other side of the glass slab.

Find the position of the image of a point object O in the two cases given. Take the radius of curvature of the surface R as 15 cm, n₁ = 1 and n₂ = 2.
Case i) O is located 10 cm to the left of the surface.
Case ii) O is located 30 cm to the left of the surface.

Find the size of the image formed in the given figure