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- 1. CONVEX MIRROR
- 2. Rules of Reflection for Convex Mirror Any incident ray traveling parallel to the principal axis on the way to a convex mirror will reflect in such a manner that its extension will pass through the focal point. Any incident ray traveling towards a convex mirror such that its extension passes through the focal point will reflect and travel parallel to the principal axis.
- 3. 1. Pick a point on the top of the object and draw two incident rays traveling towards the mirror.
- 4. 2. Once these incident rays strike the mirror, reflect them according to the two rules of reflectionfor convex mirrors.
- 5. 3. Locate and mark the image of the top of the object.
- 6. 4. Repeat the process for the bottom of the object.
- 7. Sample The diagrams above show that in each case, the image is located behind the convex mirror a virtual image an upright image reduced in size (i.e., smaller than the object)
- 8. The Mirror Equation The mirror equation expresses the quantitative relationship between the object distance (do), the image distance (di), and the focal length (f).
- 9. The Magnification Equation The magnification equation relates the ratio of the image distance and object distance to the ratio of the image height (hi) and object height (ho).
- 10. Sample Problem A 4.0-cm tall light bulb is placed a distance of 35.5 cm from a convex mirror having a focal length of -12.2 cm. Determine the image distance and the image size. GIVEN ho = 4.0 cm do = 35.5 cm f = -12.2 cm UNKNOWN di = ??? hi = ???
- 11. Solution and Answer 1/f = 1/do + 1/di 1/(-12.2 cm) = 1/(35.5 cm) + 1/di -0.0820 cm-1 = 0.0282 cm-1 + 1/di -0.110 cm-1 = 1/di di = -9.08 cm
- 12. Assignment 1. A convex mirror has a focal length of -10.8 cm. An object is placed 32.7 cm from the mirror's surface. Determine the image distance. 2. Determine the focal length of a convex mirror that produces an image that is 16.0 cm behind the mirror when the object is 28.5 cm from the mirror. 3.A 2.80-cm diameter coin is placed a distance of 25.0 cm from a convex mirror that has a focal length of - 12.0 cm. Determine the image distance and the diameter of the image. 4. A focal point is located 20.0 cm from a convex mirror. An object is placed 12 cm from the mirror. Determine the image distance.

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