Question #2857

A dentist uses a small mirror of radius 40 mm to locate a cavity in a patient's tooth. If the mirror is concave and is held 16 mm from the tooth, what is the magnification of the resulting image?

Expert's answer

The focal length of the mirror is f = R/2 = 20 mm.

The distance of the image could be calculated be the formula:

1/f = 1/d0 + 1/d1

Thus

-1/20 = -1/16 + 1/d_{1}

d_{1} = 80 mm.

The magnification is m = -d1/d0 = 80/(-16) = 5

The distance of the image could be calculated be the formula:

1/f = 1/d0 + 1/d1

Thus

-1/20 = -1/16 + 1/d

d

The magnification is m = -d1/d0 = 80/(-16) = 5

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