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Prove that the limiting angle of inciden...

Prove that the limiting angle of incidence of a ray that can be transmitted by an equilateral prism of `mu = sqrt(7//3)` will be `30^@`.

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To prove that the limiting angle of incidence of a ray that can be transmitted by an equilateral prism with a refractive index \( \mu = \sqrt{\frac{7}{3}} \) is \( 30^\circ \), we can follow these steps: ### Step 1: Understand the Geometry of the Prism An equilateral prism has an apex angle \( A = 60^\circ \). The angles of incidence and refraction at the prism's surfaces will be denoted as \( I_1 \) and \( R_1 \) for the first surface, and \( R_2 \) and \( I_2 \) for the second surface. ### Step 2: Apply the Condition for Limiting Angle of Incidence For the limiting angle of incidence, we have the condition: \[ ...
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