Lecture 17 - Mirrors &amp; Images (Ch. 26.3-26.4)

# Lecture 17 - Mirrors &amp; Images (Ch. 26.3-26.4) -...

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Lecture 17 Ch 26, Image Formation, Lenses

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Example of Flat Mirror o Problem What is minimum size L of a flat mirror which allows you to see a reflection of your entire body of height h?
Example of Flat Mirror o Problem What is minimum size L of a flat mirror which allows you to see a reflection of your entire body? Use two similar triangles L/p = h’/(p+q) But h’ = h and q = p for a flat mirror, so L/p = h/(2p) L = h/2

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Relevant Equations R > 0 concave mirror R<0 convex mirror q = image distance p = object distance Magnification is image height h’ divided by object height h.
Imaging with Concave Mirrors The mirror equation: f is the “focal length” o Distance “ p ” is the distance from the object (O) to the center of the mirror (V) o Distance q is the distance from the image (I) to the center of the mirror (V). o Distance R is the radius of curvature of the mirror.

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Rules for Ray Diagrams o Two rays must be traced to locate an image Tracing a third ray is a check – it must agree with the other two! o Ray 1: Parallel to axis Reflects through focal point o Ray 2: Through focal point Reflects parallel to axis o Ray 3: Through center of curvature Reflects along itself
Moving an object towards a concave mirror: C= Center of curvature, F=focal point Object located beyond center of curvature C Image is REAL, inverted, and reduced in size | M| < 1 and M<0, and q>0, q<p Object located at the center of curvature C Image is REAL, inverted, and same size as object: M = -1 , q = p. Object located between C and F Image is REAL, inverted, and larger in size than object: |M|>1 , M < -1, q >p .

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Moving an object towards a concave mirror: C= Center of curvature, F=focal point Object located beyond center of curvature C Image is REAL, inverted, and reduced in size | M| < 1 and M<0, and q>0, q<p Object located at the center of curvature C Image is REAL, inverted, and same size as object: M = -1 , q = p. Object located between C and F Image is REAL, inverted, and larger in size than object: |M|>1 , M < -1, q >p .
C= Center of curvature, F=focal point Object located at focal point F After reflecting, rays travel parallel to each other and never converge. Image is “formed” at an infinite image distance, q= infinity. Object located in front of F

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## This note was uploaded on 09/08/2008 for the course PHYS 3B taught by Professor Wu during the Spring '08 term at UC Irvine.

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Lecture 17 - Mirrors &amp; Images (Ch. 26.3-26.4) -...

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