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A concave mirror produces a real image that is 3 times as tall as the object....

A concave mirror produces a real image that is 3 times as tall as the object. If the object is 16 cm in front of the mirror, then what is the focal length of the mirror?

(in units of cm)

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Answer #1

Focal length of the concave mirror = f

Distance of the object from the mirror = do = 16 cm

Distance of the image from the mirror = di

The image formed is real therefore the image is formed in front of the mirror and hence will be inverted.

Therefore the magnification of the image will be negative.

Magnification of the image = M = -3

di = 48 cm

By Mirror Equation,

f = 12 cm

Focal length of the mirror = 12 cm

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