PH 253 Exam II Solutions
1. The state of a free particle is described by the following wave function
0
(x) = A
0
x < b
b
(1)
2b
x
x > 2b
(a) Determine the normalization constant A.
(b) What is the pro
PH253 Spring 2015
Exam 2
Name:
This exam covers chapters 5 through 7 of the text. There are 14 questions worth a total of
38 points. You have 75 minutes to complete the exam. Please make sure:
1. Your
PH253 Spring 2015
Exam 1
Name:
This exam covers chapters 1 through 4 of the text. There are 16 questions worth a total of
47 points. You have 75 minutes to complete the exam. Please make sure:
1. Your
University of Alabama
Department of Physics and Astronomy
PH 253 - Modern Physics
Fall 2011
Exam 1
Instructions
1. Solve six of the eight problems below.
2. Show ALL steps in details. Points will be d
University of Alabama
Department of Physics and Astronomy
PH 253 - Modern Physics
Fall 2011
Exam 2
Instructions
1. Solve ALL problems below.
2. Show ALL steps in details. Points will be deducted for n
University of Alabama
Department of Physics and Astronomy
PH 253 - Modern Physics
Fall 2011
Exam 1
Instructions
1. Solve six of the eight problems below.
2. Show ALL steps in details. Points will be d
University of Alabama
Department of Physics and Astronomy
PH 253 - Modern Physics
Fall 2011
Exam 2
Instructions
1. Solve ALL problems below.
2. Show ALL steps in details. Points will be deducted for n
PH 253 / LeClair
Fall 2013
Problem Set 1: Solutions
1. Daily problem due 23 Aug 2013: How fast must a rocket travel relative to the earth so
that time in the rocket slows down to half its rate as meas
PH253
Group Exercise 01: Review of Classical Mechanics
Spring 2015
Useful information:
1 u = 931.5 MeV/c2 = 1.661 1027 kg
1 eV = 1.602 1019 J
c = 3.0 108 m/s
1. A particle of mass 1.0 u travels in the
PH253
Group Exercise 03: Muon Lifetime
Spring 2015
Useful information:
= 1/ 1 2
t = t0
L = L0 /
1. A muon is a unstable sub-atomic particle with a lifetime of 2.2 s. Muons are known to
be produced at
PH253
Group Exercise 04: Particle Decay
Spring 2015
Useful information:
p = mc
E = mc2
K = ( 1)mc2
(mc2 )2 = E 2 (pc)2
1. A particle with mass M is moving with speed v in the positive x direction when
PH253
Group Exercise 03.5: Relativistic Dynamics
Spring 2015
Useful information:
p = mc
E = mc2
K = ( 1)mc2
(mc2 )2 = E 2 (pc)2
1. A pion at rest decays into a muon and a neutrino: + . The pion has a
PH253
Homework 01
Spring 2015
1. An atom of beryllium (m = 8.00 u) splits into two atoms of helium (m = 4.00 u) with
the release of 92.2 keV of energy. If the original beryllium atom is at rest, nd th
PH253 Spring 2015
Exam 1
Name:
This exam covers chapters 1 through 4 of the text. There are 16 questions worth a total of
47 points. You have 75 minutes to complete the exam. Please make sure:
1. Your
PH253 Spring 2015
Final Exam Formula Sheet
Constants:
Speed of light: c = 2.998 108 m/s
Fundamental charge: e = 1.602 1019 C
Boltzmann constant: k = 8.617 105 eV/K
Stefan-Boltzmann constant: = 5.670 1
PH 253 / LeClair
Fall 2013
Problem Set 7 Solutions
1. The specic heat at constant volume per electron is dened as
cV =
dE
dT
(1)
where E is the average energy of electrons. A classical electron would
PH 253 / LeClair
Fall 2013
Problem Set 4 Solutions
Daily problem for 27 Sept Consider a particle described by the wave function
(x) =
x2
N
+ a2
(a) What is the probability P (x) dx of nding the parti
PH 253 / LeClair
Fall 2013
Problem Set 5 Solutions
Daily problem for 14 Oct
(a) Show that the speed of an electron in the nth Bohr orbit of hydrogen is c/n, where is the
ne structure constant, equal t