Product ID: 99724

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Undergraduate

# Somewhere Within the Rainbow (UMAP)

### Author: Steven Janke

This module uses Fermat's least-time principle for the path of light to derive the laws of reflection and refraction, and then analyzes the passage of light through a raindrop to explain quantitatively the phenonmenon of the rainbow. An appendix is included, which treats diffraction theory. ** Table of Contents:THE PROBLEM: EXPLAINING THE RAINBOWSOME EARLY HISTORYREFLECTIONREFRACTIONTHE RAINBOW ANGLECOLORSTHE SECONDARY BOWFURTHER DIRECTIONSAPPENDIX** The Wave Nature of Light

The Diffraction Theory of the Rainbow

**SOLUTIONS TO THE EXERCISES**

REFERENCES

ACKNOWLEDGMENTS

ABOUT THE AUTHOR

REFERENCES

ACKNOWLEDGMENTS

ABOUT THE AUTHOR

©1999 by COMAP, Inc.

UMAP Module

25 pages

#### Mathematics Topics:

Calculus

#### Application Areas:

Physical Sciences, Optics, Meteorology

#### Prerequisites:

Derivatives of sine and cosine; finding maxima and minima by setting the derivative to zero; testing critical points by using the second derivative test

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