Christina Vaughan

Hampshire College
Mentor

Biography

Last fall I graduated from Hampshire College with a Bachelor of Arts degree in physics. In my final year I wrote an undergraduate thesis (68 pages) on the molecular mechanisms of cutaneous temperature sensation as driven by principles of physics. During my time at Hampshire College, my studies revolved around one focal point: physics. I chose to center my studies on this scientific subject because physics describes (most deeply) and illuminates the driving forces in all other natural sciences, including the subject I most desire to understand: neuroscience.

While studying as a student at Hampshire College, I worked as a mentor for Reader to Reader for 127 hours over 5 semesters. I led discussions through online forums with 9 different K-12 students on books of their choice. One of my students – a fifth grader – chose a short non-fictional book introducing him to atomic physics, "Great Ideas of Science: Atomic Structure" by Rebecca L. Johnson. Notably, I was able to engage with him about atomic physics in a way that he could understand and that delved deeper into the ideas presented in the book. For example, I talked with him about waves (including an application to the mechanics of active noise-cancelling headphones) to eventually elucidate "wave-particle-duality" – only mentioned briefly in the book – such as by illustrating the single-slit and double-slit experiments.

I also temporarily served as a Teacher’s Assistant for an introductory physics course on quantum mechanics at Hampshire College. Before assisting the professor with evaluating students’ work, I gave two one-to-one help sessions with students (4 hours in total) on homework problems and mathematical skills in the course.

What makes me a good researcher, physicist, and mentor is my outstanding ability to handle details and my persistency to get things right. For example, when writing to my fifth-grade student (described above) about concepts from college-level physics, I scrutinized every word I wrote to transform those complex concepts into ones my student could understand, utilizing both an attention-to-detail and persistency to make my writing clear.

Education

BA Physics
Hampshire College

Educator Statistics

Numerade tutor for 5 years
62 Students Helped

Topics Covered

Exploring the Fascinating World of Quantum Physics
Exploring the Wonders of Atomic Physics: A Comprehensive Guide
Understanding Temperature and Heat: A Comprehensive Guide
Unlocking the Secrets of Thermal Properties: Understanding Matter
Understanding the First Law of Thermodynamics: Key Concepts
Understanding the Second Law of Thermodynamics: Key Principles
Kinetic Theory Of Gases
Motion in 2d or 3d
Understanding Electric Charge and Field: A Comprehensive Guide

Christina's Textbook Answer Videos

16:36
Physics: Principles with Applications

Light of wavelength 280 nm strikes a metal whose work function is 2.2 eV. What is the shortest de Broglie wavelength for the electrons that are produced as photoelectrons?

Chapter 27: EARLY QUANTUM THEORY AND MODELS OF THE ATOM
Christina Vaughan
39:38
An Introduction to Thermal Physics

An ideal diatomic gas, in a cylinder with a movable piston, undergoes the rectangular cyclic process shown in Figure $1.10(\mathrm{b}) .$ Assume that the temperature is always such that rotational degrees of freedom are active, but vibrational modes are "frozen out." Also assume that the only type of work done on the gas is quasistatic compression-expansion work.
(a) For each of the four steps $A$ through $D$, compute the work done on the gas, the heat added to the gas, and the change in the energy content of the gas. Express all answers in terms of $P_{1}, P_{2}, V_{1},$ and $V_{2}$. (Hint: Compute $\Delta U$ before $Q,$ using the ideal gas law and the equipartition theorem.)
(b) Describe in words what is physically being done during each of the four steps; for example, during step $A$, heat is added to the gas (from an external flame or something) while the piston is held fixed.
(c) Compute the net work done on the gas, the net heat added to the gas, and the net change in the energy of the gas during the entire cycle. Are the results as you expected? Explain briefly.

Chapter 1: Energy in Thermal Physics
Section 5: Compression Work
Christina Vaughan
22:05
An Introduction to Thermal Physics

Use a computer to reproduce the table and graph in Figure 2.4 : two Einstein solids, each containing three harmonic oscillators, with a total of six units of energy. Then modify the table and graph to show the case where one Einstein solid contains six harmonic oscillators and the other contains four harmonic oscillators (with the total number of energy units still equal to six). Assuming that all microstates are equally likely, what is the most probable macrostate, and what is its probability? What is the least probable macrostate, and what is its probability?

Chapter 2: The Second Law
Section 3: Interacting Systems
Christina Vaughan
22:43
An Introduction to Thermal Physics

Use a computer to produce a table and graph, like those in this section, for the case where one Einstein solid contains 200 oscillators, the other contains 100 oscillators, and there are 100 units of energy in total. What is the most probable macrostate, and what is its probability? What is the least probable macrostate, and what is its probability?

Chapter 2: The Second Law
Section 3: Interacting Systems
Christina Vaughan
19:23
An Introduction to Thermal Physics

Use a computer to produce a table and graph, like those in this section, for two interacting two-state paramagnets, each containing 100 elementary magnetic dipoles. Take a "unit" of energy to be the amount needed to flip a single dipole from the "up" state (parallel to the external field) to the "down" state (antiparallel). Suppose that the total number of units of energy, relative to the state with all dipoles pointing up, is $80 ;$ this energy can be shared in any way between the two paramagnets. What is the most probable macrostate, and what is its probability? What is the least probable macrostate, and what is its probability?

Chapter 2: The Second Law
Section 3: Interacting Systems
Christina Vaughan
08:07
An Introduction to Thermal Physics

Use a pocket calculator to check the accuracy of Stirling's approximation for $N=50 .$ Also check the accuracy of equation 2.16 for $\ln N !$

Chapter 2: The Second Law
Section 4: Large Systems
Christina Vaughan
1 2

Christina's Quick Ask Videos

02:20
Physics 103

Christina Vaughan
05:11
Physics 101 Mechanics

What is the absolute pressure on the bottom of a swimming pool 13.1 m by 12.3 m whose uniform depth is 3.9 m?

g = 9.8 m/s2

density of water = 1000 kg/m3

Atmospheric pressure = 1.013 x 105 Pa

Give the answerr in scientific notation.

For example If your answer is 1.2 x 105 write 1.2e5

Christina Vaughan
0:00
Physics 103

Internal energy change from A to C is +700 J. Follow the path ABC, the gas does +400 J of work.
a) Follow the path ABC, what is the heat transfer Q?
b) If PC = 5PA , what is the work done from C to D?
c) Follow the path CDA, what is the heat transfer Q?
d) If the change of internal energy is +400 J from D to A, what is the heat transfer Q from D to A?

Christina Vaughan
0:00
Physics 101 Mechanics

An airplane is climbing at an angle of 15.4o to the horizontal with the sun directly overhead. The shadow of the airplane is observed to be moving across the ground at 284 km/h. How long, in second, does it take for the plane to increase its altitude by 2438 m?

Record your answer to two digits after the decimal point.

Christina Vaughan
10:03
Physics 103

A sports car accelerates at 3.20 m/s2 along a straight road. At t1 = 4.50 s and t2 = 5.50 s it passes two marks that are 35.0 m apart. What is the car's velocity at t0 = 0 s?

Christina Vaughan
0:00
Physics 101 Mechanics

On a 20 -mile bike ride, you ride the first 10 miles at an average speed of 8 $\mathrm{mi} / \mathrm{h}$ . What must your average speed over the next 10 miles be to have your average speed for the total 20 miles be (a) 4 $\mathrm{mi} / \mathrm{h} ?$ (b) 12 $\mathrm{mi} / \mathrm{h} ?$ (c) Given this average speed for the first 10 miles, can you possibly attain an average speed of 16 $\mathrm{mi} / \mathrm{h}$ for the total $20-$ mile ride? Explain.

Christina Vaughan
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