Solutions to Problem Set 5
Physics H7C Fall 1999
Derek Kimball
Guys, dont worry about midterms. Theyre not the best measure of your worth We have the following boundary conditions at the interface:
as a physicist. In fact, I did rather poorly on my rst ph
University of California, Berkeley
Physics 110B, Fall 2008 (Strovink)
PROBLEM SET 8
n relative to z , and to be its azimuth about z ,
express nx and nz in terms of and .
(d.)
Using the results of (b.) and (c.), show that
43.
This problem is omitted intent
Solutions to Problem Set 10
Physics H7C Fall 1999
Its really quite straightforward, theres nothing mystical about it.
Derek Kimball
Next we use the fact that for a geometric series
- Prof. Eugene D. Commins, U.C. Berkeley, on the subject of the EinsteinPo
Physics H7C Fall 1999
Solutions to Problem Set 11
Civilization as we know it is based on ten ideas. These are Newtons three laws,
the three laws of thermodynamics and Maxwells equations. Everything that you
see around you which dierentiates modern times f
1
University of California, Berkeley
Physics H7C Fall 1999 (Strovink)
PROBLEM SET 5
1.
It is known that, in Region 1 (y > 0, 1 = 4 0 ,
1 = 0 ), there exists a plane wave propagating
in the x direction.
a.
What is 2 in Region 2 (y < 0, 2 = 0 )?
b.
What sta
1
University of California, Berkeley
Physics H7C Fall 1999 (Strovink)
PROBLEM SET 4
1.
A plane wave polarized in the x direction is nor
mally incident upon an ideal quarter-wave plate
which has its slow axis oriented at +45 with
respect to the x axis. Nex
University of California, Berkeley
Physics H7C Fall 1999 (Strovink)
SOLUTION TO FINAL EXAMINATION
Directions. Do all six problems (weights are indicated). This is a closed-book closed-note exam
except for three 8 1 11 inch sheets containing any informatio
University of California, Berkeley
Physics H7C Fall 1999 (Strovink)
SOLUTION TO EXAMINATION 2
Directions. Do all four problems (weights are indicated). This is a closed-book closed-note exam
except for two 8 1 11 inch sheets containing any information you
1
University of California, Berkeley
Physics H7C Fall 2002 (Strovink)
NOTES ON SPECIAL RELATIVITY
1. Spacetime
According to Maxwells equations, the speed c
of light in vacuum is the same in all reference
frames. Therefore c provides a fundamental link
bet
University of California, Berkeley
Physics 110B Fall 2008 (Strovink)
SOLUTION TO EXAMINATION 2
Directions: Do all 3 problems, which have unequal weight. This is a 50-minute closed-book closednote exam except for Griths and Pedrotti, a copy of anything pos
University of California, Berkeley
Physics 110B Fall 2008 (Strovink)
SOLUTION TO FINAL EXAMINATION
Directions: Do all six problems, which have unequal weight. This is a closed-book closed-note
exam except for Griths, Pedrotti, a copy of anything posted on
1
University of California, Berkeley
Physics H7C Fall 1999 (Strovink)
PROBLEM SET 12
1.
Rohlf 12.5.
6.
Rohlf 18.11.
2.
N electrons each of mass m are conned within
a (formerly) cubic innite potential well that has
been squashed almost at: V = 0 for (0 < x
1
University of California, Berkeley
Physics H7C Fall 1999 (Strovink)
PROBLEM SET 9
1.
Rohlf 5.31.
2.
Rohlf 6.12.
3.
Rohlf 6.29.
4.
Rohlf 6.32.
5.
Rohlf 7.4.
6.
Rohlf 7.5.
7.
Show that the conservation of probability law
j = 0, where
+
t
x
h
j,
2mi
x
1
University of California, Berkeley
Physics H7C Fall 1999 (Strovink)
PROBLEM SET 6
Problems 1-4 are suitable review problems for
Midterm 1. Problems 5-8 involve new material
beyond the range covered by Midterm 1.
1.
Model an animals eye as a sphere compo
University of California, Berkeley
Physics H7C Fall 1999 (Strovink)
SOLUTION TO EXAMINATION 1
Directions. Do both problems (weights are indicated). This is a closed-book closed-note exam
except for one 8 1 11 inch sheet containing any information you wish
Physics H7C
Fall 1999 (Strovink)
Course Outline
Week
No.
Week
of.
1
23-Aug
Ro 4, Pu A, Review of special relativity;
Fo App. I
relativistic transformation of EM fields
2
30-Aug
Pu 9
Pu 10,11
Review of Maxwell's equations and EM waves
in vacuum and in mate
University of California, Berkeley
Physics 110B, Fall 2008 (Strovink)
PROBLEM SET 11
result of part (c.) to the combined surface. Take
V to be an inward-propagating spherical wave
66. Greens theorem.
Denote by G a vector eld, and start from the
divergence
By the way, I looked at the video links you posted, and the captions are not correct,
from what I know about aerodynamics and the FAA regulations. First, it is VERY
illegal to fly supersonic outside a designated airspace corridor, usually located
above
University of California, Berkeley
Physics 110B, Fall 2008 (Strovink)
PROBLEM SET 12
index n = 2 and no magnetic properties, i.e.
= 0 . The glass is 1 cm thick, but, since
this is a white light problem, its exact thickness
doesnt matter. You may take the
University of California, Berkeley
Physics H7B Spring 1999 (Strovink)
PROBLEM SET 5
1. Purcell problem 1.16
2. Purcell problem 1.19
3. Purcell problem 1.29
4. Purcell problem 1.33
5. Purcell problem 2.1
6. Purcell problem 2.8
7. Purcell problem 2.19
8. Pu
University of California, Berkeley
Physics H7B Spring 1999 (Strovink)
SOLUTION TO PROBLEM SET 10
Solutions by P. Pebler
1 Purcell 6.26 A round wire of radius ro carries a current I distributed uniformly over the cross
section of the wire. Let the axis of
University of California, Berkeley
Physics H7B Spring 1999 (Strovink)
PROBLEM SET 6
1. Purcell problem 2.27
2. Purcell problem 2.29
3. Purcell problem 2.30
4. Purcell problem 3.1
5. Purcell problem 3.9
6. Purcell problem 3.17
7. Purcell problem 3.23
8. Pu
University of California, Berkeley
Physics H7A Fall 1998 (Strovink)
TYPOS IN KLEPPNER & KOLENKOW
This is a list of typos in Kleppner & Kolenkow
that have been brought to the attention of H7A
F98 sta by students in the course. Thanks to
them for pointing t
University of California, Berkeley
Physics H7A, Fall 1998 (Strovink)
General Information (1 Sep 98)
Instructors: Prof. Mark Strovink, 437 LeConte; (LBL) 486-7087; (home, before 10) 486-8079; (UC) 642-9685.
Email: [email protected] . Web: http:/d0lbln.lbl.g
1
University of California, Berkeley
Physics H7A Fall 1998 (Strovink)
SOLUTION TO FINAL EXAMINATION
Problem 1.
a.
We consider this head-on collision in the center
of mass. The center of mass velocity is
Problem 2.
At the instant that the probe barely graz
1
University of California, Berkeley
Physics H7A Fall 1998 (Strovink)
FINAL EXAMINATION
Directions. Do all six problems (weights are indicated). This is a closed-book closed-note exam
except for three 8 1 11 inch sheets containing any information you wish
1
University of California, Berkeley
Physics H7A Fall 1998 (Strovink)
SOLUTION TO EXAMINATION 2
2
we conclude that only Ktrans = 1 mv0 is avail2
able to be converted into potential energy mgH .
Therefore the maximum height is
1.
H=
2
v0
2g
.
2.
(a.) The h
1
University of California, Berkeley
Physics H7A Fall 1998 (Strovink)
SOLUTION TO EXAMINATION 1
1. In spherical polar coordinates, take Sapporo
and Portland to be at (r, , ) = (R, /4, 0) = rS
and (R, /4, /2) = rP respectively.
(a.) Here the course is one