12.* Use ray diagrams and the mirror equation to locate the position, orientation, and type of image of an object placed in front of a concave mirror of focal length 20 cm. The object distance is (a) 200 cm, (b) 40 cm, and (c) 10 cm.

20.* Buying a dental mirror A dentist wants to purchase a small mirror that will produce an upright image of magnification when placed 1.6 cm from a tooth. What mirror should she order? Say everything you can about the mirror.

26.* Draw ray diagrams to show how a convex lens can produce (a) a real image that is smaller than the object, (b) a real image larger than the object, and (c) a virtual image.

32.* Use ray diagrams to locate the images of the following objects: (a) an object that is 10 cm from a convex lens of focal length and (b) an object that is 10 cm from a concave lens of focal length. (c) Calculate the image locations for parts (a) and (b) using the thin lens equation. Check for consistency.

For each problem please sketch out a detailed picture/diagram.