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Transcript of Curved Mirrors
Drew Bishop Curved Mirrors Standards Objectives Explain how concave and convex mirrors form images.
Describe properties and uses of spherical mirrors.
Determine the locations and sizes of spherical mirror images. Essential Question How are the concepts of concave and convex mirrors incorporated into the topic of curved mirrors? P-7: The student will demonstrate an understanding of the nature of light and optics. Concave Mirrors Concave Mirror-has a reflective surface, the edges of which curve toward the observer.
Properties of a concave mirror depend on how much it is curved. Spherical Concave Mirror Principal Axis (CA)- The straight line perpendicular to the surface of the mirror that divides the mirror in half. Focal Focal point (F)- The point where incident light rays that are parallel to the principal axis converge after reflecting from the mirror.
Focal length- The position of the focal point with respect to the mirror along the principal axis and can be expressed as f= r/2. Graphical Method of Finding the Image Real image- Image that is formed by the converging of light rays.
The image is inverted and larger than the object. Spherical Aberration Image formed by parallel rays reflecting off a spherical mirror with a large mirror diameter and small radius of curvature is a disk, not a point.
Makes an image look fuzzy instead of sharp. Mirror Equation The reciprocal of the focal length of a spherical mirror is equal to the sum of the reciprocals of the image position and the object position. Magnification How much smaller or larger the image is relative to the object.
Magnification is negative. Which means the image is inverted compared to the object. f= focal length
di= image position
do= object position Magnification Equation The image height divided by the object height is equal to the negative of the image position divided by the object position. hi- image height
ho- object height
di- image position
do- object position Convex Mirrors Convex Mirror- reflective surface with edges that curve away from the observer.
produces images that are upright and smaller than the object.
Rays reflected from a convex mirror always diverge. Field of view Since convex mirrors produce images that are smaller than the object, the field of view is increased.
The center of the field of view may be seen from any angle. (C) is the geometric center.
(r) is the radius of curvature as well as a sphere of radius.
(A) is the vertex. Citations Reflecting light from a concave mirror to a pencil "The Anatomy of a Curved Mirror." The Anatomy of a Curved Mirror. 27 Apr. 2013 <http://www.physicsclassroom.com/Class/refln/U13L3a.cfm>.
"The Mirror Equation." The Mirror Equation. 27 Apr. 2013 <http://www.physicsclassroom.com/Class/refln/U13L3f.cfm>.
Zitzewitz, Paul W. "17.2." Glencoe physics: Principles and problems. Columbus, OH: Glencoe/McGraw-Hill, 2009. 464-73. Practice Problem 1 What is the image position if the object is 17 cm in front of a concave mirror and has a focal point of 13 cm? Practice Problem 2 A 6.o m tall object is 1.4 m from a convex mirror with a 0.5m focal length. Determine the image height. Practice Problem 3 Practice Problem 4 A convex mirror in a clothing store has a -0.8 m focal length. A 1.0 m tall box of vintage t-shirts is 6.0 m away from the mirror. what are the image position and image height. A 3 cm tall object is 60 cm from a mirror. The mirror has a radius of 40 cm. Find the image position and image height.