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Geometric Optics Cheat Sheet, Cheat Sheet of Optics

Massachusetts Institute of Technology (MIT)Optics

A cheat sheet for curved mirrors in geometric optics. It explains the types of curved mirrors, how to locate an image, the curved mirror equations, and how to determine if an image is real or virtual, if a mirror is concave or convex, the size of an object, and if an image is upright or inverted. It also includes a practice problem. useful for students studying SNC 2D.

Typology: Cheat Sheet

2021/2022

Uploaded on 05/11/2023

leonpan
leonpan 🇺🇸

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Geometric Optics Cheat Sheet
Curved Mirrors
•Two types, concave(converging) and convex (diverging)
•When locating an image, you want to draw at least two rays. You can draw a ray:
•Leaving the top of the object and running parallel the the principal axis
•This ray will reflect back through F
•Leaving the top of the object and running through the focus
•This ray will reflect back parallel
•Travelling from the centre of curvature, touching the top of the object, and striking
the mirror.
•This ray will reflect straight back through C
Remember SALT (You should have these memorized!)
Practice:
SNC 2D
pf3
pf4
pf5

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Geometric Optics Cheat Sheet

Curved Mirrors

  • Two types, concave(converging) and convex (diverging)
  • When locating an image, you want to draw at least two rays. You can draw a ray:
    • Leaving the top of the object and running parallel the the principal axis
      • This ray will reflect back through F
    • Leaving the top of the object and running through the focus
      • This ray will reflect back parallel
    • Travelling from the centre of curvature, touching the top of the object, and striking the mirror. - This ray will reflect straight back through C Remember SALT (You should have these memorized!) Practice:

Curved Mirror Equations

1/f= 1/do + 1/di M= hi/ho OR M=-di/do How do I tell if an image is real or virtual?

  • A real image will have a positive di, A virtual image will have a negative di How do I tell if a mirror is concave or convex?
  • A mirror with a positive focal length is concave, and object with a negative focal length is convex. How do I determine size of object?
  • If the magnification is larger than one it is larger, if it is smaller than one it is smaller. How do I tell image is upright or inverted?
  • If the magnification is positive, it is upright. If magnification is negative, it is inverted. F C

Curved Lenses

  • Two types, converging and diverging
  • When locating an image, you want to draw at least two rays. You can draw a ray:
    • Leaving the top of the object and running parallel the the principal axis
      • This ray will refract through F
    • Leaving the top of the object and running through the focus
      • This ray will refract through and run parallel to the principal axis
    • Travelling from the top of the object passing through the centre of the lens
      • This ray will continue to pass through the lens straight Remeber SALT, you should have this memorized! Practice

2F F F 2F

2F F F 2F

2F F F 2F

2F F F 2F