Physics H133: Final Exam
June 7, 2012
Write your name at the top of this page and at least one other page.
This exam consists of problems worth a total of 50 points. The value of each problem
is given with the problem statement. Do all 10 short answer q
Chapter 7
In this chapter we solve some of the interesting mysteries that have popped up along our path through thermodynamics.
We will make extensive use of the Boltzmann Factor that we derived in Chapter 6. We want to study the Maxwell-Boltzmann Distri
Chapter 6
In this chapter we want to continue investigating the concept of entropy. In addition, we will look at
A new definition of temperature The Boltzmann Factor and some applications.
Recall back in Chapter 1, we went through a rather detailed discu
Chapter 5
In this chapter we want to review the concept of irreversibility in more detail and see how it comes from the multiplicity of states. In addition, we want to introduce the following new topics:
Definition for Entropy Second Law of Thermodynamic
Chapter 4
We have spent some time developing the model of ideal gases and have learned a number of important concepts.
However, we still have not learned much regarding why certain processes are irreversible. We are getting closer to that "holy grail". B
Chapter 3: Gas Processes
In this chapter we want to continue to discuss gases. We developed the ideal gas law in chapter 2 PV = Nk BT
Now we want to understand some of the processes that occur as we change the P, V or T of a gas We will also be intereste
Chapter 2: Ideal Gases
In this chapter we want to begin to explore the relationship between temperature and thermal energy and some of the microscopic properties of an object. We will begin by developing a model for an ideal gas.
We will define an ideal
Chapter T1
Introduction to Statistical Mechanics
This topic does not have the "strangeness" that quantum mechanics had.but it does have some very interesting aspects. Statistical Mechanics describes the behavior of macroscopic objects Newtonian Mechanics
Chapter 11
Using the form of the Schrdinger Equation we can learn some qualitative properties of energy eigenfunctions. General Goals for this chapter
Let's start with the shapes of the energy eigenfunctions. First recall the Schrdinger Equation and let'
Chapter 10
We want to complete our discussion of quantum mechanics this week by considering the Schrdinger Equation.
Mathematical equation which tells us how to solve for the energy eignenfunctions of a quantum system if we know the potential energy, V.
Chapter 9: Atoms
Although we won't solve the equations which lead to the energy levels of hydrogen (or any other atom) we can use some of what we have learned to make some qualitative statements about the wave functions for energy levels and the behavior
Chapter 8: Spectra
Special Note: Professor Heinz will be lecturing on this chapter. He may not necessarily follow these notes. I provide them for completeness.
In this Chapter we want to study the phenomena of atomic spectra. There are several topics that
Chapter 7
In chapter 6 we learned about a set of rules for quantum mechanics. Now we want to apply them to various cases and see what they predict for the behavior of quanta under different conditions.
Free Particle: We already looked at a special case o
Chapter 6
Special Note: Professor Heinz may start lecturing on this chapter. He may not necessarily follow these notes. I will finish this chapter.
We have explored the some of the evidence that led to the formulation of quantum mechanics. Now we need to
Chapter 5
Special Note: Professor Heinz will be lecturing on this chapter. He may not necessarily follow these notes. I provide them for completeness.
We have seen that light can behave like a particle and we have seen particles can act like waves. The ar
Chapter 4
Last time we discovered that sometimes we must treat light as a wave and sometimes we need to treat it as a particle. This is not very satisfactory after all physicists attempt to define models which are good over a wide range of circumstances
Chapter 3
So light was found to be a wave in the early 1800's.everyone was happily studying optics. Maxwell (1860's) established that light was made up of electronic and magnetic fields that were oscillating:
As we will soon see a very interesting phase
Announcements for Monday, March 28, 2011
Welcome to Physics H133!
Prof. Dick Furnstahl. Nuclear theorist (e.g., see unedf.org).
Ofce: Physics Research Building (PRB) M2048 (mezzanine!).
Handouts will always be on the table up front. Three today.
Please si
Stuff for Tuesday, March 29, 2011
If you didnt get your picture taken yesterday, see me up front.
We meet tomorrow in Smith 1094 for the studio session (Q1/Q2).
Come at 2:30pm if you are able to, otherwise 3:30pm.
New handout: Dimensional analysis. (Also
Stuff for Friday, April 29, 2011
Stop at 4pm for Quiz #5 on Q9Q11. Questions?
PS#8 back up front
Midterm: Any 2 hours from 6:30pm to 10:00pm on Tue., May 3.
Additional copies of midterm review under General handouts
Summary:
2
Local wavelength: [2/(x )]2
Stuff for Thursday, April 28, 2011
PS#9 due up front; PS#8 and 1094 session back
Quiz #5 tomorrow on Q9Q11. The 1094 session is good preparation.
Midterm: Any 2 hours from 6:30pm to 10:00pm on Tue., May 3.
Additional copies of midterm review under General
Stuff for Tuesday, April 26, 2011
1094 tomorrow. Quiz #5 Friday on Q9-11.
SchroSolver.exe available from H133 page. Save, double-click to run.
Summary:
Specify atomic levels by cfw_n, l , m, ms . One electron for each combination.
Selection rule for photo
Stuff for Friday, April 22, 2011
Stop at 4pm for quiz #4 on Q7 and Q8.
Midterm: Any 2 hours from 6:30pm to 10:00pm on Tue., May 3.
Spectral lines from transitions: Ephoton = Ei Ef = hc /photon
1
Quanton in a box: V (x ) = 0 for 0 x L and innite outside.
E
Stuff for Thursday, April 21, 2011
PS #6 rst pass and 1094 Session #4 are returned up front.
Quiz #4 Friday on Q7 and Q8.
Midterm: Any 2 hours from 6:30pm to 10:00pm on Tue., May 3.
Spectral lines from transitions: Ephoton = Ei Ef = hc /photon
1
Quanton i
Stuff for Tuesday, April 19, 2011
Sm1094 session tomorrow. Quiz #4 Friday.
Midterm: Any 2 hours here from 6:30 to 10pm on Tuesday, May 3.
1
Quanton in a box: V (x ) = 0 for 0 x L and innite outside.
En (x ) =
2
En =
3
A sin nx
L
0
if 0 x L
outside
En =
h
Stuff for Monday, April 18, 2011
PS #6 due up front. Quiz #3 returned; class average: 8.5
Issues: energy eigenstates, e0 = 1 = 0, complex conjugation
Sm1094 session Wednesday. Quiz #4 Friday.
Midterm: Any 2 hours here from 6:30 to 10pm on Tuesday, May 3.
Stuff for Friday, April 15, 2011
Stop at 4pm today for Quiz 3 on Q5/Q6
Formulas for todays quiz:
v = f
E = hf =
hc
k=
2
K = hf W
= 2 f
cos =
hc
= p
2(mc 2 )K
` i
`
1
e + ei
i sin = 2 ei ei
=
1
2
h
p
p
p
1
p1/2
p1/2
, |+y =
, |+ z =
0
1/2
i 1/2
p
p
1
ip
Stuff for Thursday, April 14, 2011
PS #5 due up front; PS #4 returned.
Erratum: The nal answer to Q3R.1 should be
3.9 1017 m 40 light-years; the rest is correct.
Quiz tomorrow. Anything from the 1094 session is fair
game, so please go through the answer k
Announcements for Tuesday, April 12, 2011
Sm1094 tomorrow at 2:30pm or 3:30pm. Be ready for Q6!
Quiz 3 will be on Friday this week.
Complex pretest returned up front; solution key online.
Imaginary part doesnt include the i
|z |2 = z z 0 always. Find z by
Announcements for Monday, April 11, 2011
Handouts: complex numbers pretest, SG device worksheet
Fill out pretest now! (not graded, but put your name on)
Quiz 2 returned up front. Class average: 8.2. Main issue:
nal voltage is not determined by electron ra