The refractive index of prism is μ = 3 and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of prism is _______.

Question

The refractive index of prism is μ = 3 ​ and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of prism is _______.

TestHub · Accepted Answer

For δ m i n ​ ​ i = e r 1 ​ = r 2 ​ = 2 A ​ A δ m i n ​ ​ = 1 A 2 i − A ​ = 1 2 i = 2 A i = A ​ Snell's law ​ 1 × sin i = μ sin r sin i = μ sin ( 2 A ​ ) sin A = μ sin ( 2 A ​ ) 2 sin 2 A ​ cos 2 A ​ = 3 ​ sin ( 2 A ​ ) cos ( 2 A ​ ) = 2 3 ​ ​ ∴ 2 A ​ = 3 0 ∘ ∴ A = 6 0 ∘ ​

Physics - Geometrical Optics Question with Solution | TestHub

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