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The refractive index of the material of the prism is √3; then the angle of minimum deviation of the prism is

1. 30°
2. 45°
3. 60°
4. 75°

Correct answer: 30°

Solution

For a prism with refractive index (n) = √3 and an equilateral prism (A = 60°), the angle of minimum deviation (D) is given by the formula n = sin((A + D)/2) / sin(A/2). Substituting n = √3 and A = 60°, we solve to find D = 30°.

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