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Curved Mirrors

Curved Mirrors. Curved Mirrors. Terminology. center of curvature - C ; the center of the original sphere radius of curvature - r ; distance from center of curvature to the mirror vertex - V ; the center of the mirror. principal axis - a line through C and V

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Curved Mirrors

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  1. Curved Mirrors

  2. Curved Mirrors Terminology center of curvature - C; the center of the original sphere radius of curvature - r; distance from center of curvature to the mirror vertex - V; the center of the mirror

  3. principal axis - a line through C and V • principal focus - F; the point on the • principal axis where light rays parallel • and close to the principal axis converge; • or from where they appear to diverge • focal length - f; distance from V to F

  4. Ray Diagrams Concave (Converging) Mirrors • rays parallel to the principal • axis reflect through the focus • 2. rays passing through the focus reflect • parallel to the principal axis C F

  5. Convex (Diverging) Mirrors 1. rays parallel and close to the principal axis reflect away from the focus 2. rays heading toward the principal focus reflect parallel to the principal axis F C

  6. Click here to view these three rays that are important in the formation of images in concave (converging) and convex (diverging) mirrors. Also view reflection from curved mirrors here, here,andhere.

  7. Diverging rays must be extended as dotted lines behind the mirror in order to locate some images. Mirror Equation Magnification di/do = hi/ho 1/f = 1/do + 1/di f = focal length; positive for converging mirrors, negative for diverging mirrors do = object distance; usually positive di = image distance; can be positive or negative ho= object height hi= image height

  8. Images formed by concave (converging)mirrors may be: 1. real, virtual, or non-existent 2. upright or inverted 3. reduced, enlarged, or same size 4. in front or behind the mirror Learn more about concave mirror images here. The image properties depend on the object’s location with respect to the mirror, focus, and center of curvature.

  9. Learn more about characteristics of convex mirror images here. Images formed by convex (diverging) mirrors are always: 1.virtual 2.upright 3.reduced 4.located behind the mirror between the vertex and focus

  10. General Image Trends • Real Images • Inverted • Front of mirror • positive image distance • Virtual images • always upright • behind the mirror • negative image distance

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