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Early Work – Mar. 26 • List five ways in which you use a mirror or a lens on a daily basis. • Ch. 18 Vocab 18 Mirrors and Lenses Lab • Converging and Diverging Lenses Early Work – Mar. 26 • Being juniors and seniors in high school, what type of lab etiquette should you exhibit? • Turn in vocab to InBox Finish Lab • Lab Etiquette • 20 minutes to finish 18.1 Mirrors Mirrors • Pre-historic man saw his image reflected to him in water • Ancient Egyptians used polished metals to see their images • In 1857, Jean Foucault developed a method of coating glass with silver – letting people see a clean, clear image of himself. Plane Mirrors • A flat, smooth surface that reflects light through regular reflection – Angle of incidence equals angle of reflection object image Plane Mirrors dO = di hO = hi Erect Image Virtual Image Object Image Plane Mirror Concave Mirrors Concave Mirrors Concave Mirrors Concave Mirrors Convex Mirrors Convex Mirrors Early Work – Mar. 30 • List the three rays to follow to find an image. Early Work – Apr. 3 • How can you tell if an image is real or virtual? • $2… Concave Mirror Review • Principal Axis – line perpendicular to center of mirror • Focal Point – point where rays converge or diverge to • Center of curvature (or radius) = 2F • Focal length – distance from focal point to mirror, f 2f = r Real v. Virtual • Real image – rays that converge on a single point and that image can be displayed on a screen – Looking for if rays actually converge at the point • Virtual image – image formed without rays converging on point Real Images • Concave mirrors can form real images – when object is past C – Three rays to follow • One parallel • One through focal point • One to center of mirror Image Equations Magnification – ratio of size of image to size or object Describing a Real Image • Mathematically – – If hi is negative, the image is inverted – If di is positive, the image is real Example • A concave mirror has a radius of curvature of 20.0 cm. An object, 2.0 cm high, is placed 30.0 cm from the mirror. – Where is the image located? – How high is the image? Virtual Images • Concave mirrors can form virtual images – when object between F and mirror – Three rays to follow • One parallel • One through focal point • One to center of mirror Example • An object, 2.0 cm high, is placed 5.0 cm in front f a concave mirror with a focal length of 10.0 cm. How large is the image, and where is it located? Early Work – Apr. 9 • Draw the image formed by an object and a convex mirror. Describe the image (3). Spherical Aberration • When we draw rays, have them reflect off perpendicular plane rather than curved mirror – Equations even follow this • But real rays reflect off curved surface so only rays close to principal axis reflect through the focus 18.2 Lenses Lens History • Eyeglasses – 13th century • 1610 – Galileo made telescope – Observed moons of Jupiter • Since – Microscopes – Cameras – Solar Powered Marshmallow Roasters • Probably most useful optical device Types of Lenses • Lens – transparent material with index of refraction larger than that of air – Faces can be concave, convex, or plane – Convex Lens – thicker in middle. • Converging lens because light rays converge to one point on other side. – Concave Lens – thinner in middle. • Diverging lens because light rays spread out on other side. Types of Lenses Convex Lenses • Light refracts at both surfaces of lens • For simplicity, we will refract it at center (perpendicular to principal axis) – This is called the thin lens model, which does apply to the lenses we talk about Convex Lenses Early Work – Apr. 11 • Which lens is a converging lens? • Which lens is a diverging lens? • Last day for $2 donation to lens fund. • Bkwk due Tues. Apr. 17 Conventions Applied to Lenses (P430) • f is positive for convex lenses • f is negative for concave lenses • do is positive on the object side of the lens • di is positive on the other side (image side) of the lens, where images are real • di is negative on the object side of the lens where images are virtual Diagrams Example • An object is placed 32.0 cm from a convex lens that has a focal length of 8.0 cm. – Where is the image? – If the object is 3.0 cm high, how high is the image? – Is the image inverted or upright? Virtual Images • When an object is in front of the focal point, a virtual, erect, enlarged image appears • A magnifying glass! Example • A convex lens with a focal length of 6.0 cm is held 4.0 cm from an insect that is 0.50 cm long. – Where is the image located? – How large does the insect appear to be? Concave Lenses Lens Defects Spherical Aberration Early Work – Apr. 13 • How far behind the surface of a convex mirror, focal length of -6.0 cm, does a car 10.0 m from the mirror appear? Chromatic Lens Lens Uses Nearsightedness Farsightedness What we see Microscope Lenses Telescope Lenses Ch 18 • P 439: 1 – 3, 5, 7 – 11, 13 – 15, 18 – 21, 25 - 38