A shopper standing 3.00 m from a convex security mirror sees his image with a magnification of 0.250. (a) Where is his image? (b) What is the focal length of the mirror? (c) What is its radius of curvature? Explicitly show how you follow the steps in the Problem-Solving Strategy for Mirrors.

Solution 58PE

The strategy followed to solve the problem of mirror is:

Step 1: Collect the given information about the object and mirror like position and others.

Step 2: Magnification is given so, find the distance of image in terms of distance of object,

The expression of the magnification is,

Here m is magnification, is the image distance and is the object distance.