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Question
Find the angle of incidence at which a ray of monochromatic light should be incident on the first surface AB of a regular glass prism ABC so that the emergent ray grazes the adjacent surface AC. (Refractive Index of glass = 1 .56)
Solution
Let i be the angle of incidence on the face AB so that the refracted ray is incidence on the face AC to emerge along the face AC.
Now, sin C = `1/mu = 1/1.56 = 0.6410`
∴ C = 39.87°
If r is the angle of refraction at the surface AB, then
r + C = 60°
r = 60° - 39.87° = 20.13°
Now, `mu = "sin i"/"sin r"`
or sin i = 1.56 × 0.3442 = 0.5369
∴ i = 35.47°
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