This is the place to look for sample problems before a test, for corrections during a test, and for solutions afterward.
First Test Sample Test: Here's a scan of one year's first test. It's a pretty good example of what you'll see on the first test in this course. Am I making myself clear? Are you planning on using this test to prepare for your first test?
Hints, etc. for Test 1: On problem 7, there's a table in the back of the book containing lots of useful information about masses of things like, oh, neutrons and protons. On problem 4, assume the electron is initially at rest. On problem 1, I expect you to produce expressions for V-sub-1 and for phi, in terms of V-naught and other known quantities.
Solutions for test 1 are here! For problems 1&2, 3&4, 5-7.
Second Test Sample Test: Here's a file I hope you can read of the second test from a couple years ago.
Hints, etc. for Test 2: On problem 1, try drawing the function you're trying to integrate. Also, have you thought about a change of variables? On problem 2, a central potential is one in which the particle's potential energy depends only on its distance (r) from the origin. On problem 4, by "box" I mean an infinite well of one dimension.
Solutions for Test 2: For problem 1, 1&2, 3, 4, 5
Third Test Sample Test: You can find it here.
Hints, etc. for Test 3: On problem 3 yes, I mean an infinite well. On problem 4, check the relationship between the magnitude-squared of R and the magnitude-squared of T. Also on problem 4, I hope you're not just copying junk out of the book, because Patricia will take off about a million points if you do. On problem 5, please note that in the book on page 234 the authors erroneously say that we integrate theta from -pi to + pi. We most certainly do NOT. We integrate theta from zero to pi.
Solutions for Test 3: For problem 2, 3, 4, 5.
Hints, typos, etc. for the final: Problem three is about nuclear stuff, not electronic stuff; it uses ideas from the very beginning of the course. And there's a lot of useful information in the back of the book. The mass of a baseball is about 0.145 kg. Yes, problem 2 is our old friend, the infinite well. Wavelengths in the visible spectrum range from 380 nm to 780 nm, although that may somewhat overstate the range. On problem 2, you should provide a general expression for the transition energies, and then if any of them are in the visible, to provide those actual energies or wavelengths, unless there are zillions of them. On problem 6, the energy E is a positive number. On problem 1, I want the values of L, the angular momentum; feel free to leave Planck's constant in there, if it appears in your answer, rather than plugging in the actual number of Joules-seconds or eV-seconds. By the way, there are 39.34 inches in a meter and 5,280 feet in a mile.
