Semi-cylinder Mirror Reflections · CAP 2025 #6

Physics · optics

Problem

The internal surface of a semi-cylinder shown in the diagram is a mirror. A narrow beam of light propagating in a plane perpendicular to the axis of the semi-cylinder hits the upper edge at point I, at an angle of 65° to the line IC. Point C in the figure is located on the axis of the semi-cylinder. After how many reflections will this ray leave the semi-cylinder? [Figure: Semi-cylinder with mirror surface, showing point I at upper edge and point C on axis] A. 1 B. 2 C. 3 D. 4

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