A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to 60°. The refractive index of the prism material is . The angle of incidence (in degrees) is __________. [2025]

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Solution

Q.
A ray of light suffers minimum deviation when incident on a prism having angle of the prism equal to 60°. The refractive index of the prism material is $\sqrt{2}$ . The angle of incidence (in degrees) is __________. [2025]

Ans.
(45)

For minimum deviation $r_{1} = r_{2} = \frac{A}{2} = 30 °$

At P, $1 \times \sin i = μ \times \sin 30$

$\sin i = \sqrt{2} \times \frac{1}{2} = \frac{1}{\sqrt{2}} \Rightarrow i = 45 °$

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