Problem set - Plane mirrors


1. Consider two intersecting mirrors parallel to the x-plane and the y-plane. Show that any ray of light lying entirely in the z-plane and directed toward the mirror system will strike the first mirror, be reflected to the second mirror, and emerge from the second mirror such that the path of the final ray is exactly parallel to the path of the original incident ray.

2. Consider two mirrors 20 cm apart. An object is 5 cm from one mirror. Locate the three images nearest to each mirror.

3. A ray of light is incident on a plane mirror at some angle q. Show that if the mirror is rotated through some angle a, the reflected beam will be rotated through an angle 2a.

4. A student stands erect in front of a vertical full-length mirror. a) How much of the mirror does she need to see her entire image? b) How much mirror ris needed if the mirror is tilted some angle theta to the vertical?

5. Consider two plane mirrors intersecting at a 45 degree angle. Show that any ray that lies in a plane perpendicular to the two mirrors and is incident on the first mirror and then the second will subsequently intersect the original ray at 90 degrees.

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This page was last modified by mgosselin on 10/08/2005