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32 Optical Images image formation reflection & refraction
mirror & lens equations Ch.32 homework: 25, 30-33,35,55-57, 78, 81(ans should be negative). (43 removed)
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image formation real image: rays converge to a point magnifier used to start paper on fire movie projector virtual image: rays diverge from source “seeing” any real object or light source
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Plane Mirror Image distances measured from mirror & axis
image height y’ = object height y object distance s = image distance s’
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Concave Mirror Image distances measured from axis & from plane tangent to mirror at V focal distance is half of curvature radius
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principal rays 1) parallel ray 2) focal ray 3) radial ray
image is real, inverted, and smaller in this situation 1 2 3
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convex mirror parallel and radial rays shown
image is upright, virtual, and smaller
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Mirror Equations you must learn the sign conventions to use these formulas
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imbedded object image distance < object distance
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thin lenses have equidistant focal points on either side
converging & diverging types
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lens equations
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human eye average index of refraction ~ 1.4
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Far Sighted Eye correction requires converging lens
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near sighted eye correction requires diverging lens
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summary sections 1 & 2 human eye & refractive corrections
(omitting sections 3, 4)
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Calculating Focal Length for a Thin Lens
Example: A double convex, thin glass lens with n = 1.5 has radii of curvature of 10 and 15cm. Find its focal length.
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I O
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Question: Reverse the designations in the example above
Question: Reverse the designations in the example above. Object is now the fish, so n1 = 1.33 (fish location). Let the fish be 10cm from bowl surface. Where is the image of the fish formed that the cat will see? Answer: s = 10cm , s’ = ?, r = -15cm, n1 = 1.33, n2 = 1.00. /s’ = 1/s’ = s’ = -9.00cm
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2. A document is sealed in a glass cube (n=1
2. A document is sealed in a glass cube (n=1.5) at a depth of 10cm from one surface. Calculate s’ and m. Object is in n1=1.5. Viewer is in air n2=1.00. Radius of surface is r = infinity. 1/s’ = s’ = -6.67cm. .
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32-3 Aberrations
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32-4 Optical Instruments
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s, cat’s nose n1 holds object, here equal to 1.00 /s’= 0.022 1.33/s’ = s’ = -17.1cm
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