Question

A person walks into a room that has two flat mirrors on opposite walls. The mirrors produce multiple images of the person. Consider only the images formed in the mirror on the left. When the person is 5.80 m from the mirror on the left wall and 6.10 m from the mirror on the right wall, find the distance from the person to the first three images seen in the mirror on the left wall.

Answer 1

Answer:

Image1-11.6m

Image2-23.8m

Image3-35.4m

Explanation:

The distance from the images can be found by adding up the length of the light path from the observers eye.

#For image I:

$Light path=5.8m+5.8m\\=11.6m$

Hence, distance from image one is 11.6m

#For image II:

$Lightpath=5.8m+6.1m+6.1m+5.8m\\\\=23.8m$

Hence, distance from image two is 23.8m

#For image III:

$Lightpath=5.8+2(5.8+6.1)+5.8m\\\\=35.4m$

Hence, distance from image three is 35.4m