Homework Help: Trying to find the image of an object reflected through a lens and

1. Aug 4, 2011

exparrot

then through a plane mirror (I could put that all down in the title!)

1. The problem statement, all variables and given/known data

A bright object 1 cm tall is located at x = -6 cm. There is a thin lens atx = 0 with focal length f = 4 cm, and a plane mirror located at x = 7 cm. Light from the object passes through the lens, reflects off the mirror, and then passes through the lens again to form an image.

(a) Where is the final image located? Is it real or virtual?

(b) What is the height of the final image?

2. Relevant equations

I drew a ray diagram for when the object is reflected through the lens. Disregarding the plane mirror, I found image is inverted at about 12 cm. I know that that the rays should reflect off the plane mirror (following the law of reflection), but when I draw my rays, the focal ray, which is perpendicular to the plane mirror, is reflected in the same direction it hit the mirror. However my parallel and central rays hit the bottom of the lens and then I'm not quite sure what the rays should look like after that.

3. The attempt at a solution

Drew my ray diagram for when the object is reflected through the lens. Not quite sure how to work around the plane mirror...

Last edited: Aug 4, 2011
2. Aug 4, 2011

rl.bhat

Mirror is placed at 7 am from the lens. So the distance of the virtual object behind the mirror is 5 cm. In the mirror object distance equal to the image distance. If the object is real, image is virtual. And If the object is virtual, the image is real. Hence the image is real at 2 cm from the lens. Now find the final image.

3. Aug 5, 2011

ashishsinghal

Since most of your work is a ray diagram it would be good if you post it here.........

4. Aug 5, 2011

exparrot

Okay, that makes sense. Thanks for your help!