An object is held at a distance of 12 cm from a convex mirror creating an image that is 1/3 the object size.What is the focal length of the mirror?

Question

Quizplus · Accepted Answer

The image is 1/3 the object size, so the magnification is 1/3. The magnification equation for a convex mirror is:m = -d_i / d_owhere m is the magnification, d_i is the image distance, and d_o is the object distance.Substituting the given values into the equation, we get:1/3 = -d_i / 12 cmSolving for d_i, we get:d_i = -4 cmThe focal length of a convex mirror is always positive, so the focal length of the mirror is:f = -d_i / 2 = -(-4 cm) / 2 = 2 cm

An Object Is Held at a Distance of 12 Cm