An object is held at a distance of 23 cm from a convex mirror creating an image that is 1/4 the object size.What is the focal length of the mirror?

Question

Quizplus · Accepted Answer

The image is 1/4 the object size, so the magnification is 1/4. The magnification equation is:m = -i/owhere m is the magnification, i is the image distance, and o is the object distance.Substituting the given values into the equation, we get:1/4 = -i/23Solving for i, we get:i = -92 cmThe focal length of a convex mirror is always positive, so the focal length of the mirror is:f = -i/2 = 46 cmTherefore, the correct answer is A) -7.7 cm.

An Object Is Held at a Distance of 23 Cm