January 17, 2007
Physics 390: Homework set #1 Solutions
Reading: Tipler & Llewellyn, Chapter 3
Questions: 1. Show that the classical wave equation 2f 2f - c2 2 = 0 t2 x is satisfied by any function f that depends on x and t in the combination u =
Physics 390 Homework #2 Solutions
Questions:
(1) The change in wavelength from the Compton effect 0 = h/mc(1 cos ) <
2h/mc 5 1012 m. The wavelength of visible light is 5 107 m. Therefore the
change in wavelength is 1 part in 105 (or less) and the effect i
Physics 390 Homework #8 Solutions
Questions:
(1) The mean free path is the average distance an electron can go in a metal before scattering. Classically, this is set by the distance between atoms. Quantum mechanically,
it is set by the distance between cr
Physics 390 Homework #11 Solutions
Questions:
(1) The four forces are the electromagnetic force (with the photon as the mediator
particle), the weak force (with the W and Z bosons as the mediators), the strong
force (with the gluon g as the mediator) and
Physics 390 Homework #4 Solutions
Questions:
(1) This equation specifies the square
of the momentum exactly. Therefore, the momenp
tum could either be p = 2mE/~2 , i.e. positive or negative with magnitude |p|.
Since the momentum is uncertain by an amount
Physics 390 Homework #3 Solutions
Questions:
(1) Rutherford scattering e.g. we shoot alpha particles at atoms and look at the
scattering distribution.
(2) Performing the double slit experiment in this way would cause the interference pattern
to disappear.
Physics 390, Fall 2016 Homework #1 Solutions
Questions:
(1) Room temperature is roughly 300 K. Wiens law tells us that the corresponding
blackbody spectrum peak occurs at 105 m, which is infrared light. Room
temperature object therefore tend to have peake
Physics 390 Homework #7 Solutions
Questions:
(1) When ` = 1, the allowed values of m are m = 0, 1. A Stern-Gerlach apparatus will
display one line for each value of Lz = m~, and so we should get 3 lines.
Note: in this problem, weve ignored the spin of the
Physics 390 Homework #6 Solutions
Questions:
(1) The 2s electron has ` = 0, which implies no angular momentum. The 2p electron
has
p
` = 1, which means that the magnitude of the angular momentum is L = ~ `(` + 1).
This greater angular momentum makes the 2
Physics 390 Homework #12 Solutions
Problem 1:
(a) Setting dr = d = d = 0 for a constant spatial location P , the Schwarzschild metric
becomes
2GM/c2 2 2
2
c dt .
ds = 1
r
The substitution given in the problem said to set this metric equal to
ds2 = c2 d 2
Physics 390 Homework #10 Solutions
Questions:
(1) The half-life should be T . If the half-life is too long, there isnt much change in
the isotope, and you have to measure the difference between two big numbers, which
is error prone. On the other hand, if
Physics 390 Homework #9 Solutions
Problem 1:
(a) Consider two energy states E1 and E2 that are coupled to light. The ratio of the probability for stimulated emission to absorption is N2 /N1 . Thus to have light ampflication
through stimulated emission you
Physics 390: Homework set #1
Due Wednesday January 18, 2006
Reading: Tipler & Llewellyn, Chapter 3
Questions:
1. Show that the classical wave equation
2f
2f
c2 2 = 0
t2
x
is satised by any function f that depends on x and t in the combination u = x ct:
Physics 390: Homework set #2
Due Friday January 27, 2006
Reading: Tipler & Llewellyn, Chapters 4, 5
Questions:
1. Suppose we cover one slit in the two-slit electron experiment with a very thin sheet of
uorescent material that emits a photon whenever an el
Physics 390: Homework set #3
Due Friday February 10, 2006
Reading: Tipler & Llewellyn, Chapter 6
Questions:
1. If the ground-state energy of an electron in a box were of the same magnitude as hydrogen
in the ground state, how would the width of the box co
Physics 390: Homework set #4
Due Wednesday March 8, 2006
Reading: Tipler & Llewellyn, Chapter 7
Note: Problems in parentheses are optional and will not be graded!
Questions:
(1.) The 2s electron has a greater probability to be close to the nucleus than th
Physics 390: Homework set #5
Due Friday March 17, 2006
Reading: Tipler & Llewellyn, Chapter 8 (1-5), Chapter 9 (4-6), Chapter 10 (2-8)
Note: Problems in parentheses are optional and will not be graded!
Questions:
1. Explain how the equilibrium separation
Physics 390: Homework set #6
Due Wednesday March 29, 2006
Reading: Tipler & Llewellyn, Chapter 11, 12
Note: All Problems need to be solved!
Questions:
1. In many ssion reactors, a large number of antineutrinos are emitted. Why?
2. Suppose we wish to do ra
Physics 390: Homework set #7
Due Wednesday April 12, 2006
Reading: Tipler & Llewellyn, Chapter 13 (1-5), Chapter 14 (3-8)1
Note: Problems in parentheses are optional and will not be graded!
Questions:
1. Discuss some ways by which we could distinguish ant
Physics 390, Fall 2016 Homework #0 Solutions
No calculators, no Wolfram. You should be able to do all of these as we will use them
often. This is the math review for the class if you have trouble with any of this come see
me for help.
Problem 1: Derivativ
Physics 390 Homework #5 Solutions
Questions:
(1) In the finite square well there are only a finite number of states. If you have too
much energy, the particle will be ejected from the well. The states also leak out of
the well by the uncertainty principle