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Unit 2: Optics. Section 5.3 Images in Curved Mirrors. Concave Mirrors. Concave mirrors have a reflecting surface that curves inward like the inside of a spoon. Some common uses: Shaving and makeup mirrors Reflectors in headlights Dentist mirrors. Concave Mirrors .

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unit 2 optics

Unit 2: Optics

Section 5.3

Images in Curved Mirrors

concave mirrors
Concave Mirrors
  • Concave mirrors have a reflecting surface that curves inward like the inside of a spoon.
  • Some common uses:
    • Shaving and makeup mirrors
    • Reflectors in headlights
    • Dentist mirrors
concave mirrors1
Concave Mirrors
  • Like plane mirrors, curved mirrors reflect light according to the law of reflection.
  • However, because concave mirrors are curved, they reflect in a certain way – they will converge.
concave mirrors2
Concave Mirrors
  • Concave mirrors can produce many different kinds of images. According to SPOT:
    • Size – same, smaller, or larger.
    • Position – same, closer, or farther away.
    • Orientation – upright or inverted.
    • Type – real or virtual
  • The image characteristics depend on where you place the object in front of the mirror.
    • We will look at 3 different cases.
ray diagrams key parts

Focal point

Principal Axis


Ray Diagrams – Key Parts
  • Before we determine the image characteristics for concave mirrors you need to know some key parts of the ray diagram.
    • Principal Axis – A line that is normal (perpendicular) to the center of a mirror.
    • Vertex – The point at which the principal axis meets a mirror.
    • Focal Point – The point at which converging light rays meet.
ray diagrams rules see p 198 199
Ray Diagrams - *Rules* (See p.198-199)
  • When drawing ray diagrams, there are 3 main rules you must follow:
    • Draw an incident ray traveling parallelto the principal axis. It will reflect through the focal point .
    • Draw an incident ray passing through the focalpointon the way to the mirror. It will travel parallel to the principalaxisupon reflection.
    • Draw an incident ray travelling to the vertex. It will reflect back at the same angle (relative to the principal axis) with which it entered the mirror (Law of Reflection).
ray diagrams concave case 1
Ray Diagrams – Concave (Case 1)
  • Object Between the Focal Point and the Mirror
ray diagrams concave case 2
Ray Diagrams – Concave (Case 2)
  • Object Between the Focal Point and Two Times the Focal Point
ray diagrams concave case 3
Ray Diagrams – Concave (Case 3)
  • Object Beyond Two Times the Focal Point
concave mirror animation
Concave Mirror Animation
  • Check this out:
    • http://physics.gac.edu/~chuck/PRENHALL/Chapter%2026/AABXTES0.html
convex mirrors
Convex Mirrors
  • A mirror that is curved outward, like the outside of a bowl, is called a convex mirror.
  • Common Uses:
    • Security mirrors in stores
    • Sunglasses
    • Side mirrors on vehicles
convex mirrors1
Convex Mirrors
  • The curved surface of a convex mirror causes light rays to travel away from each other, or diverge.
  • These rays will never meet in front of the mirror as they do in concave mirrors.
  • However, if you extend the rays behind the mirror, they will intersect at the focal point, F.
ray diagrams convex mirrors
Ray Diagrams – Convex Mirrors
  • When drawing ray diagrams for concave mirrors, the image depended on where you put the object with reference to the focal point.
  • In convex mirrors, since the focal point is behind the mirror there is only one case – the object in front of the mirror!
ray diagrams convex
Ray Diagrams – Convex
  • Object in Front of the Mirror
convex mirror animation
Convex Mirror Animation
  • Check this out:
    • http://physics.gac.edu/~chuck/PRENHALL/Chapter%2026/AABXTER0.html?I1.x=32&I1.y=25
assignment part c sec 5 3
Assignment (Part C – Sec 5.3)
  • P.209: #2, 10, 12, “Pause and Reflect”
  • Common Place Book:
    • Definitions: “Key Terms” on p.196.
    • Tic-Tac-Toe:
      • For anyone wanting to complete the case study option, read, summarize, and answer the questions on p.208. The article is called “Curved Surfaces Collect Solar Energy”.