Physics 4E, Spring 2009, Homeworks

This page has homework assignments and solutions. They are all from the course textbook, Tipler and Llewellyn, 5th edition.
Please don't look at the solutions until after you make a serious effort to solve the problems on your own.

First week (3/30): Chapter 3 problems:
Problems #: 2, 5, 6, 14, 15, 16, 18, 19, 21, 22, 26, 32, 42, 46, 53, 54
Solutions:

Second week (4/6):
Chapter 3, Problems #: 34, 36, 37, 38, 39, 50, 53
Chapter 4, Problems #: 2, 4, 7, 8, 9, 10, 13, 19, 21
Solutions:

Third week (4/13):
The following problems are for credit, to be handed in at or before Friday's lecture (April 17th):
1. Chpt. 4, Prob. 43.
2. Chpt. 4, Prob. 44.
3. A gaussian wave packet representing a particle of mass m has amplitude a(k)=Cexp(-ak^2) for each plane wave component. Find the uncertainty in the position of the particle at time t=0 and at times t>0.
Solutions:

The following problems are not for credit (but you should still do them!):
Chapter 4, Problems #: 26, 27, 36, 53
Chapter 5, Problems #: 3, 4, 12, 17, 25, 40, 46
Solutions:

Fourth week (4/20):
Chapter 5, Problems #: 23, 24, 27, 34, 35, 41
Chapter 6, Problems #: 2, 3, 5, 6, 9, 10, 16, 20
Solutions:

Fifth week (4/27):
The following problems are for credit, to be handed in at or before Friday's lecture (May 1st):
1. Chpt. 6, Prob. 59
2. Chpt. 6, Prob. 40. Using these results, compute the average potential and kinetic energies in those states.
3. For an electron in a finite square well of width L=5A and height V0=6eV, find the values of the energy (in eV) for the two lowest energy states and compare with the corresponding energies for an electron in an infinite square well of the same width.

The following problems are not for credit (but you should still do them!):
Chapter 6, Problems #: 24, 25, 27, 28, 29, 31, 32, 33, 34, 35, 36, 38, 42, 43, 44, 48, 51, 56, 57
Solutions:

Sixth week (5/4):
Chapter 6, Problems #: 45, 49, 54, 58
Chapter 7, Problems #: 2, 4, 5, 8, 43
Solutions:

Seventh week (5/11):
The following problems are for credit, to be handed in at or before Friday's lecture (May 15th):
1. Problem 7.39
2. Problem 7.68
3. Problem 7.70
Solutions:

The following problems are not for credit (but you should still do them!):
Chapter 7, Problems #: 10, 13, 14, 17, 20, 21, 22, 26, 33, 35, 38, 40
Solutions:

Eighth week (5/18):
Chapter 7, Problems #: 44, 45, 46, 47, 48, 49, 50, 56, 58, 59, 61, 66
Chapter 8, Problems #: 2, 5
Solutions:

Ninth week (5/25):
The following problems are for credit, to be handed in at or before Friday's lecture (May 29th):
1. Find the density of states for particles in a two-dimensional square well of side L, following the same steps as on p. 333-334 of Tipler (that lead to Eq. 8-41 for a three-dimensional square well).
2. Same as 1. for a one-dimensional square well
3. Problem 8-42.
4. Problem 8-46.
Solutions:

The following problems are not for credit (but you should still do them!):
Chapter 8, Problems #: 9, 11, 12, 15, 17, 23, 26, 28, 29, 31, 33, 36, 43
Solutions:

Tenth week (6/1):
Chapter 9, Problems #: 21, 22, 23, 25, 27, 29, 32, 33, 34, 35, 36, 37, 39
Solutions: