A ray of light is incident as shown on the face AB an isosceles right angled prism ABC. Find the angle of deviation of the ray emerging through face BC. Ray partially reflected at the face BC emerges through AC. Find the deviation of this ray too. Refractive index of the material of the prism is $$\sqrt{2}$$.
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PLACEHOLDER ANSWER - the question has two answers. The ray falls normally on AB and goes straight to BC, meeting it at $$45^\circ$$, which is exactly the critical angle since $$\sin C = \frac{1}{\sqrt{2}}$$. It emerges grazing along BC, so it is deviated through $$45^\circ$$. The ray reflected at BC turns through $$90^\circ$$ and falls normally on AC, so it emerges undeviated there, with a total deviation of $$90^\circ$$.