Mirror, mirror on the wall!
Image Formation - Plane or Flat Mirror
Magnification M = = -1 and p = q
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Concave, a Spherical Mirror
Some Rules to Live By!
DO NOT TRY THIS AT HOME
Do not steal makeup or dentist’s mirror
Do not crumple up a kid’s first grade homework
Do not hold up mirror to sun, paper near mirror
Do not burn paper
Image Formation in Concave Mirrors
• Mirror Equation:
For parallel incoming rays, q is at focal point f = R / 2
1 1 2p q R
Lenses
• Thick and thin• One, two sided (alike/different)• Converging and Diverging
SIMILAR!• Concave Mirror & Biconvex Lens • Convex Mirror & Biconcave lens
DIFFERENT!Two radii of curvature, +ve and –ve (back and front)Two focal points FRONT, BACKSign convention: +ve image distance at back of lens (“natural”) location
1 2
1 1 1( 1)( )nf R R
SIGN CONVENTIONS
Simulation on Mirrors and Lenses
• Click here to run Simulation on Image Formation in Mirrors and Lenses