# Reflection

Student Learning Objectives
Lessons / Lecture Notes
Important Equations
Example Problems
Applets and Animations
Videos

Student Learning Objectives

• To understand the ray model and how it applies to reflection.
• To understand and apply the law of reflection.
• To apply ray tracing for both concave and convex mirrors.
• To understand images and image formation.
• To use the mirror and magnification equations to analyze image formation by mirrors.

Lessons / Lecture Notes

The Physics Classroom (conceptual)

PY106 Notes from Boston University (algebra-based):

Introductory physics notes from University of Winnipeg (algebra-based):

HyperPhysics (calculus-based)

PHY2049 notes from Florida Atlantic University (calculus-based):

PHY2044 notes from Florida Atlantic University (calculus-based)

General Physics II notes from ETSU (calculus-based)

Important Equations

Example Problems

Problem 1
The image behind a convex mirror (radius of curvature = 68 cm) is located 22 cm from the mirror.  (a) Where is the object located and (b) what is the magnification of the mirror?  Determine whether the image is (c) upright or inverted and (d) larger or smaller than the object. (Solutions)

Problem 2
A boy standing 2.0 m in front of a mirror sees an inverted image of himself that is half his own size. (a) Is the image real or virtual? (b) Is this a concave or a convex mirror? (c) What is the image distance? (d) What is the focal length of the mirror? (Solutions)

Applets and Animations
 Huygen's Principle Reflection/Refration This applet is a sort of tutorial which explains the reflection and the refraction of waves by the principle of Huygens. Explanations of each of the steps are provided in the text box. Rotating Mirror and Reflected Wave Illustrating that when a mirror is rotated by an angle, the reflected ray is rotated by twice that angle. Reflection and Refraction Illustrating reflection and refraction, including total internal reflection. Total Internal Reflection This applet demonstrates total internal reflection. There is a source of light at the bottom of the lake. The rays from the source reach the surface of the water and continue through the air at a refracted angle, some rays are also reflected back into the water.

Videos

 Download video (5.5 Mb) Watch Streaming Very cool video showing optical camaflouge. This video is not fake or edited. You can read about how optical camaflouge is accomplished by clicking here.