General Physics Exam - Problems and Solutions
2nd Exam, 1st Semester, Year 2013
Describe all significant steps leading to your answers
Instruction
Here, note that , , and . Since the string is
and write your solutions within the space provided.
non-stret
General Physics Exam - Problems and Solutions
2nd Exam, 1st Semester, Year 2011
Attention
Detailed steps must be clearly described in your
solutions.
Physical constants given in the textbook such as
gravitational acceleration and permittivity can be use
General Physics Exam - Problems and Solutions
2nd Exam, 1st Semester, Year 2012
Please give your answers in detail (that is, all significant
Instructio
steps) and write your solutions only in the space
n
provided.
MISC
1. (solid sphere radius with mass )
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General Physics - Exercise Report
1st Semester, Year 2017
Chapter 13 : Gravitation
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General Physics - Exercise Report
1st Semester, Year 2017
Chapter 14 : Fluids
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Introductory Physics Office
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Graduate Quantum Mechanics I
PHY505
Homework 2 Due: Monday, 3/28/2016, to TA
Each problem is worth 15 points in this assignement.
1. In lectures we have developed a method to compute the propagator < x00 t | x0 0 >
for a free particle. Apply the method t
Graduate Quantum Mechanics I
PHY505
Homework 6 Due: Monday, 5/23/2016, to TA
Reading of the following weeks: Degenerate state perturbation theory (section
3.7(b), Time dependent perturbation theory (section 3.7(c) and (d), Variational
principle (section
Graduate Quantum Mechanics I
PHY505
Homework 5 Due: Monday, 5/9/2016, to TA
1. (a.) Let R1 and R2 be two infinitesimal rotations parametrized with 1 and
2 , and K a three-vector. If K is the change induced in K by R =
R21 R11 R2 R1 , show that to leading
Graduate Quantum Mechanics I
PHY505
Homework 7 Due: Wednesday, 6/1/2016, to TA
1. Estimate the ground state energy of a helium atom by the variational principle.
Use the hydrogen like wave functions as the trial functions and confirm the results
given in
Graduate Quantum Mechanics I
PHY505
Homework 4 Due: Friday, 4/15/2016, to TA
1. Problem 18, p. 239, Chapter 4, Gottfried & Yan. Assume the radii of the inner
and outer cylinders are a and b, respectively. Also assume the two ends of the
cylinder are at z
Graduate Quantum Mechanics I
PHY505
Homework 1 Due: Friday, 3/16/2016, to TA
1. (a)
Problem 2, p. 109, Chapter 2, Gottfried & Yan.
(b)
Show that U 1 f (A)U = f (U 1 AU ). Therefore, if U is unitary, the unitary
transform of the function of an operator A i
Physics 505 Final Exam - Solutions This final is a three hour open book, open notes exam. Do all four problems.
Fall 2007
[25 pts] 1. A point electric dipole with dipole moment p is located in vacuum pointing away from and a distance d away from the flat
Jackson 7.22 Homework Problem Solution
Dr. Christopher S. Baird
University of Massachusetts Lowell
PROBLEM:
Use the Kramers-Kronig relation to calculate the real part of (), given the imaginary part of () for
positive as
(a)
/ 0 =[ 1 2] , 2 > 1 > 0
(b)
/
Jackson 7.19 Homework Problem Solution
Dr. Christopher S. Baird
University of Massachusetts Lowell
PROBLEM:
An approximately monochromatic plane wave packet in one dimension has the instantaneous form,
u (x ,0)= f (x)e i k x , with f(x) the modulation env
Jackson 7.12 Homework Problem Solution
Dr. Christopher S. Baird
University of Massachusetts Lowell
PROBLEM:
The time dependence of electrical disturbances in good conductors is governed by the frequencydependent conductivity (7.58). Consider longitudinal
Jackson 7.3 Homework Problem Solution
Dr. Christopher S. Baird
University of Massachusetts Lowell
PROBLEM:
Two plane semi-infinite slabs of the same uniform, isotropic, nonpermeable, lossless dielectric with
index of refraction n are parallel and separate
Jackson 7.6 Homework Problem Solution
Dr. Christopher S. Baird
University of Massachusetts Lowell
PROBLEM:
A plane wave of frequency is incident normally from vacuum on a semi-infinite slab of material with
a complex index of refraction n() [n2() = ()/0].
Jackson 7.4 Homework Problem Solution
Dr. Christopher S. Baird
University of Massachusetts Lowell
PROBLEM:
A plane-polarized electromagnetic wave of frequency in free space is incident normally on the flat
surface of a non-permeable medium of conductivity
Jackson 7.1 Homework Problem Solution
Dr. Christopher S. Baird
University of Massachusetts Lowell
PROBLEM:
For each set of Stokes parameters given below deduce the amplitude of the electric field, up to an
overall phase, in both linear polarization and ci
Physics 505, Classical Electrodynamics
Homework 12
Due Friday, 10th December 2004
Jacob Lewis Bourjaily
Problem 7.28
Let us consider a circularly polarized plane wave moving in the z direction that has a nite extent
in the x and y directions. Assuming tha
Physics 505, Classical Electrodynamics
Homework 12
Due Friday, 10th December 2004
Jacob Lewis Bourjaily
Problem 7.28
Let us consider a circularly polarized plane wave moving in the z direction that has a nite extent
in the x and y directions. Assuming tha
2
JACOB LEWIS BOURJAILY
Problem 7.16
Let us consider plane waves propagating in a homogenous, nonpermeable but anisotropic dielectric.
The dielectric is characterized by the tensor ij . We will assume that the coordinate axes have been
chosen so that Di =