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AKJ1

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## Homework Statement

A plane mirror is placed at the origin. A converging lens with a focal length of 5.00m is located at x=12.50m. A object is placed at x=22.5m

Find the final location of the image in terms of its X coordinate & magnification.

## Homework Equations

1/q + 1/p = 1/f (lens)

1/q = -1/p (plane mirror; focal length is infinite)

q = image distance

p= object distance

## The Attempt at a Solution

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So I first find the distance from the lens to the object (10m), then following from the equation

1/q + 1/p = 1/f

1/q +1/10 = 1/5

q = 10m

Now we consider the mirror. The image from the lens will serve as the object for the mirror.

1/q = -1/p

1/q = -1/10

q = -10m ?

However the answer says 20m. I just started studying geometric optics (I have yet to have a formal lecture on it), so I am likely missing something fundamental here. Is there another image somehow formed?

Thanks