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Published byNicholas Blake Modified over 3 years ago

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Lenses

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What phenomenon is evident in lenses? https://wiki.brown.edu/confluence/display/PhysicsLabs/PHYS+0080+BC

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Basic Types of Lenses Convex Concave

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Convex Lens

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Concave Lens m

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Type of Image Real orVirtual Enlarged or Reduced ErectorInverted

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Convex (Converging) Lens Center C f

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Ray Diagram for Convex Lens Principal Axis

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Rules for Ray Diagrams for Convex Lens A parallel ray refracts through the focal point. A ray through the center of the lens continues straight. A ray coming through the focal point, refracts parallel to the principal axis.

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Summary for Convex Lens When the object is: Beyond 2F At 2F Between 2F and F At F Between F and lens Then the image is: Between 2F and F At 2F Beyond 2F No image Virtual image

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Sign Convention d o + object distance d i + real image d i - virtual image h i + erect image h i - inverted image f + converging lens (convex) f - diverging lens (concave)

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Magnification M= h i = -d i h o d o Note: When magnification is <0, the image is inverted.

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Lens Equation 1 = f d o d i

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Concave (Diverging) Lens Object Image

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Summary for Concave (Diverging) Lens Always: virtual, reduced, upright image

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Notice! The art of drawing ray diagrams has not changed drastically. The equations for image formation in LENSES are the same as the equations for image formation in MIRRORS.

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