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Concave Mirrors<br />

A concave mirror, also called a converging mirror, has a surface that<br />

curves inward like a bowl (Figure 11.10). The image formed by a<br />

concave mirror depends on how far the object is from the focal point of<br />

the mirror. If the object is far away from the focal point, the reflected<br />

rays form an inverted image as shown in Table 11.1. The closer the<br />

object gets to the focal point, the larger the image becomes. If the object<br />

is between the focal point and the mirror, like the bird in Figure 11.11,<br />

the image becomes upright and enlarged. When the object is exactly at<br />

the focal point, all rays that leave the object reverse direction at the<br />

mirror and are reflected away from the mirror parallel to each other. In<br />

this case, no image is formed.<br />

F<br />

Figure 11.10 Parallel light rays approaching a concave mirror.<br />

Table 11.1 Ray Diagrams for Concave Mirrors<br />

Distance of Object<br />

from Mirror, d o<br />

Object is more than<br />

two focal lengths.<br />

Object is between one<br />

and two focal lengths.<br />

Type of Image<br />

Formed<br />

Smaller than object,<br />

inverted, real<br />

Larger than object,<br />

inverted, real<br />

How the Image<br />

Is Viewed<br />

The mirror can project<br />

an image on a screen<br />

placed in front of the<br />

mirror.<br />

The mirror can project<br />

an image on a screen<br />

placed in front of the<br />

mirror.<br />

Ray Diagram<br />

Object is at focal point. No image is formed. No image is formed. object<br />

Object is between<br />

mirror and focal point.<br />

Larger than object,<br />

upright, virtual<br />

Viewer looks into the<br />

mirror to see the<br />

image.<br />

object<br />

image<br />

Figure 11.11 A virtual image produced by a converging mirror.<br />

The bird is between the focal point and the mirror so the virtual<br />

image is larger than the real bird.<br />

Ray diagrams model the behaviour of light in mirrors and lenses.<br />

F<br />

F<br />

object<br />

F<br />

object<br />

F<br />

421

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