One of my goals in teaching physics is to help my students see the great scientists not only as visionary investigators of our physical universe but also as human beings with qualities that we can appreciate and connect somehow to our own personal experiences.

During this school year, I learned that one of my students is related to my hero in physics, Albert Einstein. Brett Reisman's great-grandmother Lina was Einstein's cousin. With a graciousness I've come to know is a family trait, Brett's mother Karen Cortell Reisman agreed to visit my students to share some of Einstein's photos and letters that were addressed to her family. It was a delightful hour in which we got a glimpse of the personal family side of a great genius of the twentieth century.

Mrs. Reisman read various letters that gave us many insights into Einstein, the man. The letters are full of his good humor and sincerity. Though he did not feel comfortable talking much about himself, perhaps not wanting to dwell into his failing health or political issues, his warmth and closeness to family is apparent. He is optimistic and encouraging. He talks about his enjoyment of life in the United States and shows his wit when referring to his cousin Lina relocating as "moving her point of gravity closer to his vicinity."

This was the first time in my teaching career that I have had a personal connection to such a renowned figure. My students and I were treated to a unique afternoon, and I know that the study of physics, especially the topics related to modern physics, will always have a special significance as a result.

The World Year of Physics 2005 is an international celebration of physics in which more than 30 nations are participating in yearlong celebrations with public lectures, museum exhibits, and educational projects. The celebration has been endorsed by the United Nations and is timed to coincide with the one-hundredth anniversary of Albert Einstein's *annus mirabilis*. For more information, visit the World Year of Physics official Web site: www.physics2005.org.

## Einstein's Miraculous Year

In 1905 Einstein published four brilliant papers in the *Annalen der Physik*. These papers were to transform twentieth-century scientific thought:

### March 1905

#### "On a Heuristic Point of View Concerning the Production and Transformation of Light"

*Annalen der Physik*, volume 17, pages 132-148

In this paper Einstein challenged the wave theory of light, suggesting that light could also be considered as an assortment of particles. This was fundamental in the development of quantum physics. For his study of the photoelectric effect, he won the Nobel Prize in 1921.

### May 1905

#### "On the Motion of Small Particles Suspended in Liquids at Rest Required by the Molecular-Kinetic Theory of Heat"

*Annalen der Physik*, volume 17, pages 549-560

This paper on Brownian motion helped explain the random motion of particles suspended in a liquid. Einstein blended ideas from kinetic theory and classical hydrodynamics to derive an equation for the mean free path of the particles as a function of time.

### June 1905

#### "On the Electrodynamics of Moving Bodies"

*Annalen der Physik*, volume 17, pages 891-921

This is probably the most famous of Einstein's 1905 papers. It is this paper that founded the special theory of relativity in which Einstein showed that absolute time had to be replaced by a new absolute: the speed of light.

### September 1905

#### "Does the Inertia of a Body Depend on Its Energy Content?"

*Annalen der Physik*, volume 18, pages 639-641

This is a follow-up to the special relativity paper in which Einstein presented a preliminary version of the famous equation *E = mc2*.

## Einstein and AP Physics

Einstein's work helped open the field of quantum physics. The study of the photoelectric effect has particular relevance in the AP Physics course outline:

### Content area:

#### V. Atomic and Nuclear Physics

##### A. Atomic physics and quantum effects

- Photons and photoelectric effect

Objectives:- Calculate the number of photons per second emitted by a monochromatic source of specific wavelength and power.
- Describe a typical photoelectric effect experiment, and explain what experimental observations provide evidence for the photon nature of light.
- Describe qualitatively how the number of photoelectrons and their maximum kinetic energy depend on the wavelength and intensity of the light striking the surface, and account for this dependence in terms of a photon model of light.
- When giving the maximum kinetic energy of photoelectrons ejected by photons of one energy or wavelength, determine the maximum kinetic energy of photoelectrons for a different photon energy or wavelength.
- Sketch or identify a graph of stopping potential versus frequency for a photoelectric effect experiment, determine from such a graph the threshold frequency and work function, and calculate an approximate value of
*h/e*.

## Photoelectric Effect Virtual Lab

This virtual lab exercise consists of analyzing a simulation of a photoelectric effect experiment. The objective of the lab is to collect data for three metals in order to create a graph that will allow the students to find the value of Planck's constant.

The Web page contains a downloadable student worksheet and a link to the simulation: http://physicsquest.homestead.com/quest8ac3.html.

Other photoelectric effect simulations can be found at the following Web sites:

MSU Applet: The Photoelectric Effect

This applet shows the photoelectric effect with three different materials: sodium, cesium, and silver. The user can vary the light intensity, light wavelength, and the voltage and then observe whether or not an electric current was produced.

Photoelectric Effect by Phillip Warner

(The applet can be found on other Web sites as well.) This applet shows 14 different metals. The user can set the intensity to either low or high and vary the wavelength. This applet offers a visualization of the electrons being ejected from the metal and gives a reading of the energy of the electron in electron volts.

## After the AP Physics Exam

One of the most popular topics to teach after the AP Exam is special relativity.

I like to introduce the topic by having a discussion on the concept of time. I divide my students into teams of two and have them read a vignette from Alan Lightman's book, *Einstein's Dreams* (ISBN 0-679-41646-3). Students receive a few discussion questions, and their task is to present their conclusions in front of the class. A detailed lesson plan can be found on my Web page: http://physicsquest.homestead.com/quest8ac2.html.

After that activity, I present a unit on special relativity divided into five sections as follows:

- What is relativity?
- Introduce the concept of relativity before Einstein, including a discussion of Galilean transformations
- Define event and frame of reference

- Einstein's relativity
- Present an overview of the difficulties with frames of reference in Maxwell's equation for the speed of light
- Explain the significance of the Michelson-Morley experiment
- Discuss Einstein's postulates of relativity:
- All laws of physics are the same in all inertial frames of reference.
- The speed of light in a vacuum is the same in all inertial frames of reference.

- Relativity of time and relativity of length
- Understand how the principle of relativity leads to the relativity of simultaneity and thus to time dilation and length contraction
- Use the Lorentz transformations of position and velocity
- Discuss the twin paradox

- Relativistic energy
- Recognize the significance of Einstein's famous equation
*E = mc*^{2} - Explore relativistic energy and momentum

- Recognize the significance of Einstein's famous equation
- Relativity of velocity
- Apply the relativistic velocity transformations

## Recommended Textbook

*Einstein's Special Relativity: Discover It for Yourself by Ernie McFarland*

ISBN 1-895579-23-6

Trifolium Books Inc.

This inexpensive book ($8.95) contains a straightforward approach to special relativity. My students found Dr. McFarland's book readable and engaging. He presents exercises with clear, detailed solutions, and each chapter contains a set of exercises and challenging problems. A separate Solutions Manual is available to instructors.

## Online Resources

### Special Relativity

Einstein Light

I strongly recommend this website from the University of New South Wales in Australia. The different modules are presented in attractive Flash simulations and are accompanied with great explanations with or without math. If you prefer, you can view this page in HTML format.

Galileo and Einstein Lectures

This site features excellent lectures by Michael Fowler from the University of Virginia.

How Stuff Works: How Special Relativity Works

Easy-to-understand explanations on special relativity can be found on this Web site.

HyperPhysics Concepts

This is section from Georgia State University's HyperPhysics online textbook covers relativity.

Introduction to Special Relativity

The Dummies' Guide to Special Relativity by "Arfur Dogfrey" is a humorous Web site that contains 12 chapters explaining in simple terms what special relativity is about.

Lecture 21: Special Relativity

An illustrated summary of the main concepts in special relativity is presented by Terry Herter from Cornell University.

Notes on Special Relativity

These excellent lecture notes are by Tatsu Takeuchi from Virginia Tech.

NOVA: Einstein's Big Idea

This Web site is related to the original NOVA program on Einstein. It also includes a Teacher's Guide.

Classroom Activity: A Classical and Relativistic Trip to a Black Hole

This activity by PBS effectively connects concepts from Newtonian mechanics to special relativity with astrophysics.

## Simulations

Michelson-Morley Experiment

In this excellent simulation of the famous experiment, the user can change the rotation of the mirrors and the velocities of light and ether.

Untitled Light Clock Experiment

Einstein's famous clock bouncing light between two mirrors is shown in this excellent simulation of two observers moving at different speeds. (This site requires Flash.)

Space-Time Lab

This Java simulation from Cal Tech includes six experiments. Each experiment includes a visualization and a space-time graph.

Concept of Space and Time in Special Relativity

This simulation by Fu-Kwun Hwang shows a light clock simulation. It includes a good explanation.

## Exhibits

A Walk Through Time

This website by the NIST (National Institute of Standards and Technology) Physics Laboratory presents an evolution of time and how it has been measured throughout the ages.

Einstein—Image and Impact

Presented by the American Institute of Physics' Center for History, this is the most comprehensive online exhibit on Einstein.

American Museum of Natural History: Einstein

This Web site offers an overview of the exhibit of Einstein's life and work at the American Museum of National History.

## Recommended Reading

*Einstein: A Life* by Denis Brian

ISBN 0-471-19362-3

John Wiley and Sons

I greatly enjoyed reading this biography of Einstein. Brian presents an outstanding portrait of Einstein's life with explanations of his scientific accomplishments.

*E = mc ^{2}: A Biography of the World's Most Famous Equation by David Bodanis*

ISBN 0-8027-1352-1

Walker and Company

This interesting book introduces the reader to the concepts behind Einstein's famous equation.

*Dolores Gende is a teacher at the Parish Episcopal School in Dallas, Texas. Although her degree is in chemical engineering, she has taught physics for 22 years. She is a Table Leader for the AP Physics Exam, an AP workshop consultant, and a Web designer. She has been AP Central's content adviser for physics since 2004.*