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  4. 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 the prism is √3, then the angle of incidence is :

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Q. 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 the prism is $\sqrt{3},$ then the angle of incidence is :

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Solution:

$i = e$
$r_{1}=r_{2} = \frac{A}{2} = 30^{\circ} $
$ 1 \times\sin i = \sqrt{3} \times\frac{1}{2} = \frac{\sqrt{3}}{2} $
$ i = 60 $