1. Draw a ray diagram to show how an image is formed in a convex mirror.
2. A decorative garden sphere has a diameter of 82 cm. The refl ecting surface of the shiny sphere makes a convex mirror. What is the focal point of the convex surface?
3. You may notice the following written on some car wing mirrors: ‘Objects in this mirror may be closer than they appear’. What type of mirror is used for wing mirrors? Why do objects seem this way?
4. A convex mirror of focal length 1.54 m is placed on a bend in a road. Determine the magnifi cation of a motorist 35.8 m away from the mirror.
5. A girl is studying the convex side of her soup spoon. She notices that her 3.6 cm tall nose appears to be 1.2 cm tall when positioned a distance of 2.4 cm from the spoon.
(i) Determine the image distance for this particular object distance.
(ii) Determine the focal length of the convex side of the spoon.
6. A shop mounts a convex mirror in the corner of the store to serve as a security mirror and to reduce instances of shoplifting. When a thief is positioned a distance of 4.8 m from the mirror, their image is magnifi ed by a factor of one-half. Determine the focal length of the mirror.
7. A convex spherical mirror has a focal point located a distance of 24.6 cm from the surface of the mirror. (You will have to decide for yourself whether f is positive or negative.)
(i) Find the image distance (in cm) for an object distance of 76.8 cm.
