The Periscope Artist's Mirror · AI Generator #GEN-E94638EE
Physics · optics
Problem
An artist is designing a periscope for a submarine using two plane mirrors. She wants the periscope to have a total height of H=1.2m between the two mirrors, and she needs the light ray to travel horizontally for a distance of d=0.8m between the mirrors. For the periscope to work properly, both mirrors must be oriented at 45° to the horizontal. However, due to space constraints in the submarine, the horizontal section of the light path cannot be perfectly centered vertically—it must be located at a height h=0.3m above the bottom mirror. What is the total distance traveled by a light ray as it passes through this periscope from the top entrance to the bottom exit?