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The angle of incidence for a ray of light at a refracting surface of a prism is 45°. The angle of prism is 60°. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are:

1. 45°, 1/√2
2. 30°, √2
3. 45°, √2
4. 30°, 1/√2

Correct answer: 45°, √2

Solution

For minimum deviation, the angle of incidence equals the angle of emergence, and the ray passes symmetrically through the prism. Using the prism formula and geometry, the angle of minimum deviation is 45°, and the refractive index is √2.

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