intro to geometric optics 3 - Lecture 14 Introduction to...

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Physics 102: Lecture 16, Slide 1 Today’s lecture will cover Textbook Chapter 23 Lecture 14: Introduction to Geometric Optics (continue) Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 2 Images in Spherical Mirrors Mirror Equation Today... Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 3 O Summary: Concave Mirror Principal Rays f c 1) Parallel to principal axis reflects through f. #1 3) Through center. #3 Image is (in this case): Real or Imaginary Inverted or Upright Reduced or Enlarged 2) Through f, reflects parallel to principal axis. #2 Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 4 O I Mirror Equation    1 d o + 1 d i = 1 f c d o d i d o = distance object is from mirror: Positive: object in front of mirror Negative: object behind mirror d i = distance image is from mirror: Positive: inverted image (in front of mirror) Negative: upright image (behind mirror) f = focal length mirror: Positive: concave mirror Negative: convex mirror (coming soon) f Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 5 O I Magnification Equation d o d o h o Angle of incidence d i h i Angle of reflection o i o i d d h h m - = o o d h = ) tan( θ i i d h = d i h o = height of object: Positive: h i = height of image: Positive: Negative: m = magnification: Positive / Negative: same as for h i < 1: > 1: Physics 113 Dr. Renat Letfullin
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Physics 102: Lecture 16, Slide 6 O I Magnification Equation d o d o h o Angle of incidence d i h i Angle of reflection o i o i d d h h m - =
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