An office copier uses a lens to place an image of a document onto a rotating drum. The copy is made from this image. (a) What kind of lens is used? Should it be 1 - converging, or 2 - diverging?

Suppose the lens has a focal length of magnitude 13.0 cm. If the document and its copy are to have the same size, but are inverted with respect to one another, (b) how far from the document is the lens located and (c) how far from the lens is the image located?

1 answer

(a) A converging lens is used for this purpose.

(b) To form an image of the same size as the object, the object should be at 2f (twice the focal length) from the lens. In this case, the focal length is 13.0 cm, so the object (document) should be 2 * 13.0 cm = 26.0 cm away from the lens.

(c) The image will also be at 2f (twice the focal length) from the lens, but on the other side. So the image will be 26.0 cm away from the lens as well.