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10.3 handout. (Page 199). 10.3 Images in Concave Mirrors. 10.3. Properties of Concave Mirrors. Concave Mirror: A mirror whose reflecting surface curves ______________. Unlike plane mirrors, images in concave mirrors appear _________________.
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10.3 handout (Page 199) 10.3 Images in Concave Mirrors
10.3 Properties of Concave Mirrors • Concave Mirror: A mirror whose reflecting surface curves ______________ • Unlike plane mirrors, images in concave mirrors appear _________________ • For concave mirrors, the same rules apply as for plane mirrors (think of concave mirrors as many small flat mirrors) • All the normals meet at one point. This point is the __________________________, C
10.3 Properties of Concave Mirrors • Principal Axis: On a concave mirror, the line that passes through the centre of curvature (C) and touches the centre of the mirror. • The point where it touches the mirror – “________” V All the normals meet at C or the center of curvature
10.3 Properties of Concave Mirrors • Focal Point: the point on the principal axis through which reflected rays pass when the incident rays are parallel to and near the principal axis
10.3 Properties of Concave Mirrors • Focal Length: The distance between __________________ • ___________________________________________________
10.3 Properties of Concave Mirrors • Have a look at Figure 10.20 on page 420 • In (A), all the normals meet at C • In (B), incident ray passes through C and over the normal; angle of incidence equals angle of reflection
10.3 Properties of Concave Mirrors • In (C), incident ray is near and parallel to principal axis; it intersects principal axis at focal point (F)
10.3 Properties of Concave Mirrors • The geometry of a curved mirror produces two special situations: (1) All rays near and parallel the principal axis will reflect through F (2) Any rays incident through F will reflect off and away from the mirror, parallel to the principal axis
10.3 Ray Diagrams for Concave Mirrors • Draw the object with its bottom on the principal axis (this way, you only have to find the image for the top of the image) • For concave mirrors, there are 3 situations (Pg 422-424) • (1) Object is between focal point and mirror • (2) Object is between focal point and center of curvature • (3) Object is beyond the center of curvature
10.3 Drawing Ray Diagrams for Concave Mirrors
10.3 Situation 1: Object between F and a Concave Mirror (Pg 422)
10.3 Situation 1: Object between F and a Concave Mirror (Pg 422)
10.3 Situation 1: Object between F and a Concave Mirror (Pg 422) C F
10.3 Situation 2: Object between F and C for a Concave Mirror (Pg 423)
10.3 Situation 2: Object between F and C for a Concave Mirror (Pg 423)
10.3 Situation 2: Object between F and C for a Concave Mirror (Pg 423) C F
10.3 Situation 3: Object is beyond center of curvature (Pg 424)
10.3 Situation 3: Object is beyond center of curvature (Pg 424)
10.3 Situation 3: Object is beyond center of curvature (Pg 424) C F Do Questions # 1-4 on page 425
10.3 Mirror and Magnification Equations • The mirror equation lets you calculate ________________ _______________________ • d represents ________________ to mirror and “o” and “i” indicate ______________ and ______________
10.3 Mirror and Magnification Equations F = Focal Point C = Centre of Curvature V = Vertex do = Object Distance di = Image Distance f = Focal Length ho = Object Height hi = Image Height
10.3 Mirror and Magnification Equations
10.3 Mirror and Magnification Equations • The magnification equation lets you find the _____________________ of the image (magnification is the change in size of an optically produced image) • d represents _________________ to mirror and “o” and “i” indicate ____________ and ____________ Do Practice problems on page 427
10.3 Distortion of Images in Curved Mirrors • Spherical Aberration: Irregularities in an image formed in a curved mirror that ________________________________ • __________________________________________________ • __________________________________________________ • _________________________________________________
Read page 429 “radar technology” then do questions #1,3,4,5,6 on p430