Ray Diagrams Basics Mirror Equations

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Presentation transcript:

Ray Diagrams Basics Mirror Equations Curved Mirrors Ray Diagrams Basics Mirror Equations

Concave Mirrors Focal point is … ½ way between Center (Radius) of Curvature & Mirror in front of the mirror

Ray Diagrams for Concave Mirrors Parallel Ray Start from top of object Goes parallel to axis & hits mirror Reflects off mirror through focal point. Image is: Smaller Inverted Real Focal Ray Start from top of object Goes through focal point & hits mirror Reflects off mirror parallel to axis Center Ray Start from top of object Goes through center of curvature Reflects off mirror back through center Image Top of the Image is formed at intersection of the three rays Bottom is on the axis

Convex Mirrors Focal point is… ½ way between Center (Radius) of Curvature & Mirror behind the mirror

Ray Diagrams for Convex Mirrors Parallel Ray Start from top of object Goes parallel to axis & hits mirror Reflects off mirror lined up with focal pt. Focal Ray Start from top of object Aimed at focal point & hits mirror Reflects off mirror parallel to axis Center Ray Start from top of object Goes through center of curvature Reflects off mirror back through center Image Three Rays do not meet in the “Real World” Trace reflections back into “Mirror (Virtual) World” Image formed at intersection of rays in “Mirror World” Image is: Smaller Upright Virtual

Mirror Equations Mirror Equations: (1/do)+ (1/di) = (1/f) C = 2f f is positive for Concave mirrors f is negative for Convex mirrors di is positive for Real images (in front of Mirror) di is negative for Virtual Images (Behind Mirror) C = 2f Magnification (Hi, Ho, Di, Do its off to physics we go…) (hi/ho) = - (di/do) = M

Di/Do f Hi M + in front of mirror + in front of mirror - behind mirror + upright - inverted M f + in front of mirror - behind mirror

Objects and Images @ infinity On object on the horizon… i.e. the sun Is very far away Assume do = ∞ 1/do = 1/∞ = 0 Images at infinity 1/di = 1/∞ = 0

Concave Mirrors Practice (1/do)+ (1/di) = (1/f) (1/21)+ (1/di) = (1/7) 1/di = 0.095 di = 10.5 hi/ho = - di/do = M hi/6 = 10.5/21 = M M = - 0.5 hi = - 3 cm Image is: Smaller Inverted Real 6 cm 21 cm 14 cm

Homework Pg. 659 #7 & 8 Ray Diagram Worksheet