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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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RELATED QUESTIONS
A student traces the path of a ray of light through a rectangular glass slab for the different values of angle of incidence. He observes all possible precautions at each step of the experiment. At the end of the experiment, on analyzing the measurements, which of the following conclusions is he likely to draw?
(A) ∠i = ∠e < ∠r
(B) ∠i < ∠e < ∠r
(C) ∠i > ∠e > ∠r
(D) ∠i = ∠e > ∠r
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