62.What is the relation between angle of incidence and lateral displacement in a glass slab?

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Q. State how does lateral displacement through a glass slab depend upon:
1. Thickness of the glass slab
2. Angle of incidence

A ray of light is incident on a glass-slab from air at an angle . Thickness and refractive index of glass-slab are‘t’ and ‘ $μ_{a}$ ’ respectively, Find the lateral displacement of the emergent ray respective to incident ray.

In the adjacent diagram, AO is a ray of light incident on a rectangular glass slab.

(a) Complete the path of the ray till it emerges out of the slab.

(b) In the diagram, mark the angle of incidence (i) and the angle of refraction (r) at the first interface. How is the refractive index of glass related to the angles i and r ?

(d) Which two rays are parallel to each other ?

(e) Indicate in the diagram the lateral displacement between the emergent ray and the incident ray. State one factor that affects the lateral displacement.

Q. In the adjacent diagram, AO is a ray of light incident on a rectangular glass slab.

(a) Complete the path of the ray till it emerges out of the slab.
(b) In the diagram, mark the angle of incidence (i) and the angle of refraction (r) at the first interface. How is the refractive index of glass related to the angles i and r ?
(c) Mark angle of emergence by the letter e. How are the angles i and e related ?
(d) Which two rays are parallel to each other ?
(e) Indicate in the diagram the lateral displacement between the emergent ray and the incident ray. State one factor that affects the lateral displacement.

Q. Lateral displacement of the emergent ray of light through a glass slab increases with

[Assume, incident and emergent angles are very small ]

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