Five-Pointed Star Image Formation · IZhO 2020 #1.3
Physics · optics
Problem
At equal distances l=50 cm in between the screen S and the flat mirror M, a flat matte source L emitting white light only towards the mirror is placed. The planes of the screen, mirror and source are all parallel to one other. The source has the shape of a five-pointed star inscribed in a circle of radius r1, whereas the mirror has a regular triangle shape inscribed in a circle of radius r2. The source and mirror centers lie on the same axis perpendicular to the screen plane. Draw a schematic image of the source on the screen, keeping its orientation in accordance with the figure below. Estimate the sizes of all elements of the image.
Consider only two specific cases:
1.3.1 r1=1.0 cm and r2=10 cm;
1.3.2 r1=10 cm and r2=0.1 cm.