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UNIT 8 Light and Optics

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Monday February 20th Light and Optics

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**TODAY’S AGENDA UPCOMING… Curved Mirrors Convex**

Monday, February 20 TODAY’S AGENDA Curved Mirrors Convex Hw: Practice C (even) p466 UPCOMING… Tue: Problem Quiz #1 Color and Polarization Wed: Refraction Thurs: Thin Lenses Biconvex Lens Fri: Thin Lenses Biconcave Lens Mon: Total Internal Reflection

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Chapter 13 Light and Reflection

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**Formation of Images by Spherical Mirrors**

Spherical mirrors are shaped like sections of a sphere, and may be reflective on either the inside (concave) or outside (convex).

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**Formation of Images by Spherical Mirrors**

Using geometry, we find that the focal length is half the radius of curvature:

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**Formation of Images by Spherical Mirrors**

We use ray diagrams to determine where an image will be. For mirrors, we use three key rays, all of which begin on the object: A ray parallel to the principal axis; after reflection it appears to come from the focal point. 2. A ray lines up with the focal point; after reflection it is parallel to the principal axis and appears to come from a position parallel behind the mirror. 3. A ray to the center of the mirror; after reflection it is the same angle to the principal axis. The principal axis bisects the reflected angle. The ray appears to come from behind the mirror.

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**Images Formed by Spherical Mirrors**

Convex Mirror

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**Images Formed by Spherical Mirrors**

Convex Mirror -di do -f

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**Images Formed by Spherical Mirrors**

Image Characteristics Type: Real or Virtual Size: Larger, Smaller, or Same (as the Object) Orientation: Upright or Inverted do: always positive di: real is positive; virtual is negative f: in front of mirror is positive; Behind mirror is negative

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**Images Formed by Spherical Mirrors**

*Remember: for Convex mirrors, focal length is negative and distance of the image is negative.

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**Chapter 23 Mirrors and Lenses**

If you stand in front of a convex mirror, at the same distance from it as its radius of curvature, (A) you won't see your image because there is none. (B) you will see your image at your same height. (C) you will see your image and you will appear smaller. (D) you will see your image and you will appear larger.

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**Images Formed by Spherical Mirrors (Problem)**

The image of a distant tree is virtual and very small when viewed in a curved mirror. The image appears to be 18 cm behind the mirror. What kind of mirror is it, and what is its radius of curvature?

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**Chapter 23 Mirrors and Lenses**

A single convex spherical mirror produces an image which is (A) always virtual. (B) always real. (C) real only if the object distance is less than f. (D) real only if the object distance is greater than f.

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**Images Formed by Spherical Mirrors**

Magnification -f do -di Convex Mirror M > 1 Larger M < 1 Smaller M Upright M Inverted M = 1 Same M = *Remember: for Convex mirrors, focal length is negative and distance of the image is negative.

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**Images Formed by Spherical Mirrors**

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