A dentist uses a small mirror of radius 38 mm to locate a cavity in a patient's tooth. If the mirror is concave and is held 11 mm from the tooth, what is the magnification of the image?
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Expert's answer
2013-01-21T10:38:30-0500
R = 38 mm, object = 11 mm The focus is halfway of the radius, so f = R/2 = 19 mm.
The mirror equation is 1/image + 1/object = 1/f, so the image is at image = 1/(1/f - 1/object) = 1/(1/19 - 1/11) mm = -26.13 mm.
The magnification is image/object = 26.13 / 11 = 2.37
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