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Lenses. Chapter 30. Converging and Diverging Lenses. Lens – a piece of glass which bends parallel rays so that they cross and form an image Converging Lens – a lens which is thicker in the middle, makes parallel light rays converge
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Lenses Chapter 30
Converging and Diverging Lenses • Lens – a piece of glass which bends parallel rays so that they cross and form an image • Converging Lens – a lens which is thicker in the middle, makes parallel light rays converge • Diverging Lens – a lens which is thinner in the middle, makes parallel light rays diverge • Principle Axis – line joining the centers of curvature of a lens’ surface • Focal Point – the point at which a beam of light converges • Incident parallel beams that are not parallel to the principle axis focus at points above or below the focal point • Focal Plane – all possible points from incident beams • A lens has two focal points and two focal planes
Image Formation by a Lens • Magnification occurs when an image is observed through a larger angle with the use of a lens than with out the lens, and allows more detail to be seen • A converging lens will only magnify when the object is between the focal point and the lens • Virtual Image – an image formed through reflection or refraction that can be seen by an observer but cannot be projected on a screen because light from the object does not actually come to a focus • Real Image – an image that is formed by converging light rays and that can be displayed on a screen • When a diverging lens is used alone, the image is always virtual, right-side up, and smaller than the object
Constructing Images Through Ray Diagrams • Ray Diagrams – show the principle rays that can be used to determine that size and location of an image • One end of the object is always placed right on the principle axis • 3 useful rays in ray diagrams • Ray parallel to the principle axis that passes through the focal point after refraction by the lens • A ray through the center of the lens that does not change direction • A ray through the focal point in front of the lens that emerges parallel to the principle axis after refraction by the lens
Image Formation Summarized • If an object is one focal length away from a converging lens, the image is virtual, magnified, and right-side up • If an object is beyond one focal length, a converging lens produces a real, inverted image • If the object is close to the focal point, the image appears far away; if it is far from the focal point, the image appears nearer • When an object is viewed through a diverging lens, the image is virtual, reduced, and right-side up
Some Common Optical Instruments • The Camera – consists of a lens and sensitive film mounted in a lighttight box, the amount of light which gets to the film is regulated by a shutter and a diaphragm (which varies the size of the opening) • The Telescope – a simple telescope uses a lens to form a real image of a distant object • The Compound Microscope – uses two converging lenses of short focal length, forming a real and a virtual image (so we see the object right-side up) • The Projector – An arrangement of converging lenses is used
The Eye • The amount of light that enters is regulated by the iris, the colored part of the eye that surrounds the opening called the pupil • Light enters through the transparent covering called the cornea, passes through the pupil and lens, and is focused on a layer of tissue at the back of the eye—the retina—extremely sensitive to light • In both the camera and the eye, the image is upside down, our brain flips the image right-side up for us
Some Defects in Vision • Farsighted – person’s eyes form images behind the retina, the eyeball is too short • Nearsighted – person’s eyes form images in front of the retina, the eyeball is too long • Astigmatism – the cornea is curved more in one direction than the other, the eye does not form sharp images
Some Defects in Lenses • Aberrations – the distortions in an image • By combining lenses in certain ways, aberrations can be minimized • Spherical aberration results when light passes through the edges of a lens and focuses at a slightly different place from light passing through the center of the lens • Chromatic aberration is the result of the different speeds of light of various colors and hence the different refractions they undergo
Assignment • Read Chapter 30 (pg. 463-476) • Do #15-34 (pg. 478-479)