A light ray enters through a right-angled prism at point P with angle of incidence 30° and travels through the prism parallel to its base BC. An emergent ray leaves face AC. The refractive index of prism is:
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Question

A light ray enters through a right-angled prism at point P with angle of incidence 30° and travels through the prism parallel to its base BC. An emergent ray leaves face AC. The refractive index of prism is:

Options

G1 Physics · Accepted Answer

Step 1: Use geometry of the right-angled prism (as shown). The normal to the entry face and the base-parallel internal ray determine refraction angle r. Step 2: Apply Snell’s law μ = sin i/sin r at the air–prism interface. Step 3: Insert the prism angle and i = 30° from the diagram; simplification yields μ = √5/2. Final answer: (A) √5/2; the original diagram is necessary for all angles.