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Question
In the adjacent diagram, AO is a ray of light incident on a rectangular glass slab.
- Complete the path of the ray till it emerges out of the slab.
- 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?
- Mark angles of emergence by the letter e. How are the angles i and e related?
- Which two rays are parallel to each other? Name them.
- Indicate in the diagram the lateral displacement between the emergent ray and the incident ray. State one factor that affects the lateral displacement.
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Solution
- The ray's path through the glass slab is complete.
- `""^amu_g = "R.I glass" = sin i/sin r`
- Angle of emergence ∠e is marked ∠i = ∠e
- Emergent ray BD and incident ray AO are parallel.
- DE shows the lateral displacement.
The following factors affect lateral displacement:
- The angle of incidence.
- The glass slab's (or medium's) thickness.
- Refractive index of glass.
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