A quarter circular room is covered with mirrors. A ray of light is emitted from one corner and reflected somewhere on the opposite wall, then on the arc, before reaching the adjacent wall at a point a distance a from the light source and b from the circle centre. What is the maximum of a/b?
Scroll down for a solution to this problem.
Solution
The maximum of a/b is 2.
Poem
Camera obscura
Let’s enter in this black room
To study eclipses of the moon
Protect your eyes from the sun
And look at the sky to have fun
Is there a secret in this camera obscura?
May be for the eyes in a mysterious area
Between light and shadows
An inverted image from a rainbow
