![4
16 points total] In some bathrooms you may find parallel mirrors
facing each other on opposite walls, as shown in the figure at
right. The distance between the two mirrors is H and the person is
standing a distance d in front of the front mirror.
a) [0.5](https://media.kunduz.com/media/question/seo/raw/20211130154702974059-3831417_TZY0QXupB.jpeg?w=256)
Physics
Geometrical Optics Solutions
4
16 points total] In some bathrooms you may find parallel mirrors
facing each other on opposite walls, as shown in the figure at
right. The distance between the two mirrors is H and the person is
standing a distance d in front of the front mirror.
a) [0.5 points) On the diagram, draw the image of the person
formed by the front mirror and label it "A".
b) (0.5 points) Draw the image of this image formed by the
back mirror and label it "B" - assume that the mirrors are
perfectly parallel to each other.
c) [0.5 points] Draw the image of image B formed by the front
mirror and label it "C".
d) [1 point of the images you drew, which could be seen by
the person looking into the front mirror? Explain your
reasoning.
front mirror
Person
back mirror
e) [2 points] Determine an expression (in terms of d and H) for the distance between the person
and image C. If the person takes a step back so that they are twice the distance from the front
mirror, does the distance to image C double, increase but not double, halve, decrease but not
halve, or stay the same? Show your work and explain your reasoning.
f) (1.5 points Say that the mirrors are not exactly parallel but are at a slight angle to each other -
as is shown in the diagram. How does this affect what is seen by the person looking into the
front mirror? Explain your reasoning. As part of your explanation, remake the diagram (either
in another color, or with clear labeling) showing the series of images in these slightly tilted
mirrors.
