An object 25.4-centimeters high is located 91.5 centimeters from a concave mirror, focal length 15 centimeters.

a) determine location of image.

b) determine the height of the image.

answer

A) 17.9 cm

We have:

is the focal length of the mirror (for concave mirror, the focal length is positive)

is the distance between the object and the mirror

is the distance between the image and the mirror

We can then use the mirror equation to find q:

B) -5.0 cm

The height of the image can be determined by using the magnification equation:

where

is the heigth of the image

is the height of the object

Substituting and re-arranging the formula, we find

And the negative sign means the image is inverted.

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