A periscope (Fig. P 35.3 ) is useful for viewing objects...

A periscope (Fig. $\mathrm{P} 35.3$ ) is useful for viewing objects that cannot be seen directly. It can be used in submarines and when watching golf matches or parades from behind a crowd of people. Suppose the object is a distance $p_{1}$ from the upper mirror and the centers of the two flat mirrors are separated by a distance $h .$ (a) What is the distance of the final image from the lower mirror? (b) Is the final image real or virtual? (c) Is it upright or inverted? (d) What is its magnification? (e) Does it appear to be left-right reversed?

A periscope (Fig. $\mathrm{P} 35.3$ ) is useful for viewing objects that cannot be seen directly. It can be used in submarines and when watching golf matches or parades from behind a crowd of people. Suppose the object is a distance $p_{1}$ from the upper mirror and the centers of the two flat mirrors are separated by a distance $h .$ (a) What is the distance of the final image from the lower mirror? (b) Is the final image real or virtual?
(c) Is it upright or inverted?
(d) What is its magnification?
(e) Does it appear to be left-right reversed?

Key Concepts

Plane Mirror Reflection

This concept involves understanding that when light reflects off a flat, or plane, mirror, the angle of incidence equals the angle of reflection. As a result, the image appears to be the same distance behind the mirror as the object is in front of it. This principle is fundamental in analyzing how images are formed in systems like periscopes.

Virtual Image Formation

When an image is formed by a plane mirror, the reflected light rays do not actually converge at the point where the image appears; instead, they only appear to diverge from that point. This is what classifies the image as virtual, meaning it cannot be projected onto a screen, but is nonetheless detectable by an observer.

Image Orientation and Lateral Inversion

In the context of a plane mirror, the image retains the same vertical orientation as the object, so it remains upright. However, a key characteristic of images in flat mirror systems is lateral inversion, which means that the left and right sides of the image are reversed relative to the object.

Magnification in Plane Mirrors

Magnification refers to the ratio of the size of the image to the size of the object. For a plane mirror, this ratio is unity (1:1), which implies that the size of the image is exactly the same as the size of the object. This concept is crucial when determining the proportional accuracy of image representations in optical devices.

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