Mirrors and Lenses Physics Spring 2002.

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Presentation transcript:

Mirrors and Lenses Physics Spring 2002

Types of Mirrors Plane mirror- flat mirror Ex. everyday, bathroom mirror Convex mirrors - bend outward Ex. the back of a spoon, sideview mirrors Concave mirrors - bend inward Ex. satellite dishes, the front of a spoon

Plane mirrors Image is behind the mirror - virtual image Image is reversed back to front

Convex mirrors Image is behind the mirror - virtual image Image is much smaller than object

Concave mirrors Principal Axis is from C to A For small angles, the focal point is half the distance between the mirror and the Center, C. f F C A r

Spherical vs. Parabolic mirrors Spherical mirrors do not focus everything at one point - spherical aberation. Parabolic mirros DO focus everything at one point - used for flashlights, car headlights, etc.

Ray Diagrams Incident light rays parallel to the principal axis are reflected through the focal point. Incident rays through the focal point are reflected parallel to the principal axis. P1 P2 I1 I2

Mirror equation The distance from the mirror to the object and the mirror to the image are related. 1 + 1 = 1 do di f do di

Mirror equation ctd. You can also find the magnification of an image. Both m and hi are negative - image is inverted. hi = -di = m ho do ho hi

Example An object 2.0 cm high is 30.0 cm from a concave mirror. The radius of curvature is 20.0 cm. What is the location and size of the image? 1 + 1 = 1 do di f 1 = 1 - 1 30 cm di 10 cm = -0.0667 /cm di = 15 cm

Example An object 2.0 cm high is 30.0 cm from a concave mirror. The radius of curvature is 20.0 cm. What is the location and size of the image? hi = -di = m ho do hi = -di x ho do hi = 15 cm x 2.0 cm 30 cm = -1 cm