A monochromatic light is incident at a certain angle on an equilateral triangular prism and suffers minimum deviation if the refractive index of the material of prism is $\sqrt[]{3}$ , then the angle of incidence is

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90°

45°

30°

60°

answer is C.

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Detailed Solution

$∵ r = \frac{a}{2} = 30^{\circ}; \Rightarrow μ_{1} \sin i_{1} = μ_{2} \sin r \Rightarrow 1 \times \sin i = \sqrt{3} \times \frac{1}{2} \Rightarrow i = 60^{\circ}$

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