(a) Locate and describe the image for an object distance of 32.5 cm. SOLUTION Conceptualize Because the focal length of the mirror is positive, it is a concave mirror (see this table). We expect the possibilities of both real and virtual images. Categorize Because the object distance in this part of the problem is larger than ✓✓the focal length, we expect the image to be real. This situation is analogous to that in figure (a). Analyze Find the image distance (in cm) using- Find the magnification of the image from M--- Finalize The absolute value of Mis less than unity, so the image is smaller than the object, and the negative sign for M tells us that the image is (inverted✔ . Because is positive, the image is located on the front side of the mirror and is real. Look into the bowl of a shiny spoon or stand far away from a shaving mirror to see this image. (b) Locate and describe the image for an object distance of 13.0 cm. SOLUTION Categorize Because the object is at the focal point, we expect the image to be infinitely far away. Analyze Find the image distance (in cm) by using the following equation: (If you need to use coor-co, enter INFINITY or -INFINITY, respectively) 1.4.1 cm D - INFINITY cm Finalize This result means that rays originating from an object positioned at the focal point of a mirror are reflected so that the image is formed at an infinite distance from the mirror; that is, the rays travel paralel beam of light. (c) Locate and describe the image for an object distance of 6.50 cm. SOLUTION Categorize Because the object distance is smaller than the focal length, we expect the image to be virtual. This situation is analogous to that in figure (8). Analyze Find the image distance (in cm) using 1 EXERCISE - cm Find the magnification of the image from M- M=- ✓✓to one another after reflection. Such is the situation in a flashlight or an automobile headlight, where the bulb filament is placed at the focal point of a reflector, producing a parallel Finalize the image is larger than the object, and the positive sign for M indicates that the image is upright (see figure (b)). The negative value of the image distance tells us that the image is virtual, as expected. Put your face close to a shaving mirror to see this type of image