QJEEM22Ph210f: JEE Main 2022 Physics - Class 12 JEEM22Ph210f Solution: The refracting angle of a prism is A and refractive index of…

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The refracting angle of a prism is A and refractive index of the material of the prism is cot (A/2). Then the angle of minimum deviation will be -

Accepted Answer

$μ = \frac{\sin (\frac{δ_{m} + A}{2})}{\sin (A / 2)} = \cot A / 2$

$\Rightarrow \cos A / 2 = \sin (\frac{δ_{m} + A}{2})$

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

$\Rightarrow π - 2 A = δ_{m}$

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