If the refractive index of the material of a prism is cot(A/2), where A is the angle of prism then the angle of minimum deviation will be

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Solution

Q.
If the refractive index of the material of a prism is cot(A/2), where A is the angle of prism then the angle of minimum deviation will be [2024]

1 $π - 2 A$

2 $\frac{π}{2} - 2 A$

3 $π - A$

4 $\frac{π}{2} - A$

Ans.
(1)

$\cos \frac{A}{2} = \sin (\frac{A + δ_{m i n}}{2})$

$\frac{A + δ_{m i n}}{2} = \frac{π}{2} - \frac{A}{2}$

$δ_{m i n} = π - 2 A$

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