Summer 2009
DEPARTMENT OF PHYSICS
June 29, 2009
PHYSICS 2C: Fluids, Thermodynamics, Waves &
Optics
INSTRUCTOR
Charles Hicks, Mayer Hall 2651
jchicks@ cox.net
Office Hr: 40 minutes following each class or by
appointment.
COURSE COORDINATOR
Patti Hey, 118 Urey Addition, x2-1468
plhey@physics.ucsd.edu
TEACHING ASSISTANT
Prarit Agarwal, Mayer Hall 2702
Office Hr: Friday 10:00-11:00 AM
pagarwal@physics.ucsd.edu
COURSE SCHEDULE
Lectures:
Tu-Fr
8:00-9:20 AM
WLH 2204
Quiz:
M
8:00-9:20 AM
WLH 2204
Problem Session:
W
10:00-10:50 AM
WLH 2111
Discussion:
Th
10:00-10:50 AM
WLH 2111
TEXT
Wolfson & Pasachoff, Physics for Scientists and Engineers, Volume III, 3rd Edition
(special UCSD custom bind paperback edition, ISBN 0536-17026-6)
COURSE DESCRIPTION
Physics 2C is the third quarter of a four-quarter introductory physics sequence. The
course is aimed at students majoring in science and engineering (e.g. chemistry,
molecular biology, computer science, mathematics). It is a continuation of Physics 2B
covering fluid mechanics, thermodynamics, wave motion and sound, Maxwell’s
equations and electromagnetic waves, geometric optics, interference and diffraction. The
course will closely follow the textbook by Wolfson and Pasachoff, Chapters 16-22 and
34-37. Lecture notes, Problem plus Quiz solutions, and Course Announcements will be
online at http://physics.ucsd.edu/students/courses/summer2009/
Prerequisites:
Physics 2A and 2B; Math 21C and concurrent enrollment in Math 21D, or equivalent.
Knowledge of calculus will be assumed.
Problem and Discussion Sessions:
A one hour long problem session will be held weekly on Wednesdays from 10:00-10:50
in Warren Lecture Hall 2111. It will focus on problem solving under the guidance of the
TA. Your active participation is strongly encouraged. Note that some of the exam
questions will come directly from the problem assignments. Additionally there will be a
weekly discussion session on Thursdays from 10:00-10:50 in Warren Lecture Hall 2111.
These can be very helpful in clearly up conceptual issues and your attendance is again
strongly encouraged.
Homework Assignments.
Problems will be assigned twice per week as per the attached schedule. Additionally two
problems will be assigned to be turned in and graded. These problems are due by the end
of class on Friday. Each of the problems to be graded will be worth 10 points so that the
total maximum score from these problems will be 100 points. This total will be worth an
additional quiz score. To understand the material, however, you must practice solving all
of the problems, and it is very important for you to work on your own, and only consult
the solutions as a check or if you are stuck. Studying in groups may be valuable, but it
can not completely substitute working on your own, since the first step in solving a
problem is often also the most challenging one. Problems given on the weekly quizzes
will often resemble the homework problems. The textbook contains numerous worked
sample problems, and a number of problems and questions at the end of the chapter.
Solutions of many of those can be found in the Students’ Solution Manual (on reserve in
the library.) Please, remember that learning physics is about understanding why a
solution works, rather than about getting the correct numerical result.
QUIZZES
Closed-book quizzes will be given on Friday every week except for week 1 which will
take place on Monday, July 6. A 3x5 cheat card will be allowed. Additionally, the
necessary equations will be written on the blackboard or in the quiz. Any requests
for formulas will usually be honored and written on the board for everyone.
Solutions and scores will be posted on the web. Your overall quiz grade will be computed
from your highest 4 scores which includes the 4 quizzes + the total score on the problems
that are turned in. This total will count 2/3 toward your final grade. Note that if you turn
in the assigned problems, one quiz can be missed without penalty. The quizzes will be
composed of multiple choice problems. You will have to provide your own scantron card,
form No. X-101864-PAR. They are available at the bookstore and the general store co-op
for about $0.15 ea. You will need a No. 2 pencil to fill in the scantron. Bring a scantron
form and a pencil or you'll receive no credit for the quiz.
1. You may use a calculator (but not a laptop) during the quiz. You may wish to bring
some blank scratch paper as well as you almost certainly need it!
2. At the first quiz, you will be assigned a code number. This code number will be used
to identify your answer sheet for each quiz. Write your code number, your name,
the course number and quarter on the Scantron form. Code number errors
(missing or incorrect code number) will be penalized with a deduction from the
quiz score.
3. Any appeal of quiz grades should be made in writing to the TA, within one week of
the posting of that quiz. You must provide an explanation for why you are appealing
the grade (be specific).
4. There will be no make-up quizzes for any reason what-so-ever! If you anticipate
missing more than one quiz due to unavoidable circumstances, you must discuss this
with the instructor beforehand and should seriously consider dropping the
course.
FINAL EXAM
The final will be a closed-book exam and cover the whole course material, and it will
be composed of multiple choice problems, just like the quizzes. So, you should bring a
Scantron form with you. You may use a calculator (but not a laptop) during the final. You
may also bring a single 8 1/2” x 11” sheet of paper of formulae and notes handwritten
on the both sides. (Printed cheat-sheets are not allowed!) You may wish to bring some
blank scratch paper as well as you will likely need it. The final will be given on
Saturday, August 1st, from 3:00 PM to 6:00 PM, location TBA. Your student I.D. is
required to take it.
COURSE GRADE:
Quizzes
Final Exam
2/3 (best 400 out of 500)
1/3
ACADEMIC DISHONESTY
Please read "UCSD Policy on Integrity of Scholarship" in the UCSD General Catalog.
These rules will be rigorously enforced. Any confirmed case of cheating will result in an
“F” grade in Physics 2C and referral to the appropriate dean for disciplinary action. For
the purposes of this class, cheating includes submitting another person’s work as your
own, copying from another student on Quizzes or the Final Exam (or knowingly allowing
another student to copy from you), and use of unauthorized materials during a Quiz or
Final Exam. Cheating also includes attempts to manipulate grades unfairly and
intentionally misusing code numbers.
ADD/DROP PROCEDURE
Use WebReg, http://summersession.ucsd.edu/students-reg.shtml, to add/change/drop,
drop from waitlists. No add/drop cards will be signed by the instructor or TA.
WHOM TO SEE
Contact: Sharmila Poddar or Richard Hsu E-mail: Spoddar@physics.ucsd.edu or
Rhsu@physics.ucsd.edu; 115 Urey Hall Addition, Physics Dept. Student Affairs Office,
if you have any trouble using WebReg to add/change/drop, drop from waitlists.
The Teaching Assistant; if you have questions relating to problem solving methods or to
grades received.
The Instructor; if you have basic questions about the subject matter, or if you have
administrative problems.
Schedule of classes, homework and quizzes.
Week
Chapters from Wolfson and Pasachoff
Quiz date
I
June
29
18 Fluid Motion
19 Temperature and Heat
II
July
6
20 Thermal Behavior of Matter
21 First law of Thermodynamics
July 6
III
July
13
22 The Second Law of Thermodynamics
16 Wave Motion
July 13
IV
July
20
17 Sound and other Wave Phenomena
34 Electromagnetic Waves
35 Reflection and Refraction
July 20
V
July
27
36 Image formation
37 Interference and Diffraction
July 27
Homework Questions and Problems.
Q. Ch 18: 5, 6, 9, 11, 12, 16, 17, 18, 22, 23
P. Ch 18: 9, 13, 15, 25, 29, 35, 38, 47, 48, 51, 57
Q. Ch 19: 1, 2, 3, 7, 10, 12, 14, 15, 19, 22;
P. Ch 19: 1, 5, 12, 21, 22, 25, 35, 40, 51, 53, 55, 64
Q. Ch 20: 2, 5, 7, 9, 12, 16, 17, 19, 23, 28, 31
P. Ch 20: 5, 10, 11, 15, 17, 21, 30, 47, 49, 57, 59
Q. Ch 21: 1, 4, 8, 9, 11, 12, 13, 16, 19, 20, 22
P. Ch 21: 3, 7, 9, 11, 17, 21, 23, 25, 31, 39, 43, 45
Q. Ch 22: 2, 4, 9, 10, 16, 17, 18, 19
P. Ch 22: 1, 2, 8, 11, 13, 15, 17, 23, 25, 39, 45, 53
Q. Ch 16: 1, 3, 7, 10, 11, 13, 14, 17, 18, 21, 23
P. Ch 16: 1, 9, 13, 15, 23, 35, 39, 43, 47, 49, 50, 52
Q. Ch 17: 2, 3, 5, 7, 8, 9, 11, 12, 15, 16, 17, 18
P. Ch 17: 8, 11, 15, 17, 27, 37, 39, 45, 53, 56, 57, 63
Q. Ch 34: 9, 10, 11, 14, 17, 18, 21
P. Ch 34: 13, 17, 21, 29, 33, 35, 37
Q. Ch 35: 2, 5, 6, 7, 8, 11, 14, 19, 21
P. Ch 35: 1, 2, 5, 9, 13, 15, 25, 27, 33, 35, 37, 41, 43,
55
Q. Ch 36: 1, 4, 6, 7, 9, 10, 11, 13, 15
P. Ch 36: 3, 5, 9, 15, 19, 25, 29, 37, 43, 49, 51, 61
Q. Ch 37: 1, 3, 4, 5, 6, 8, 9, 10, 11, 13, 14, 16
P. Ch 37: 1, 3, 9, 11, 15, 17, 25, 31, 36, 41, 51, 55,
57, 61
Problems to be turned in and graded:
Due Date
July 6
July 10
July 17
July 24
July 31
Problems
1. (a) An object of volume V is weighed in air on an equal-arm balance
with the use counterweights of density ρ. Representing the density of
air as ρair and the balance reading as F’g find the expression for the true
weight, Fg, in terms of the densities, V, F’g, and g. (b) Show that if the
density of the object is equal to the density of the counterweights then
the balance reading is equal to the actual weight, Fg = F’g.
2. Chapter 19, problem 74.
3. Using the kinetic theory of gases, find the relationship between the rms
velocity of gas molecules and (a) the most probable speed, (b) the
average speed, and (c) the speed of sound which is given by
vs=(γP/ρ)1/2. Here P is the pressure, ρ is the mass density, and γ is a
constant with a range 1<γ<5/3.
4. (a) Chapter 21, problem 66, and (b) extend problem 66 by showing that
B=ρdP/dρ and consequently vs=(dP/dρ)1/2.
5. Chapter 22, problem 62. For the plot assume that γ=1.4.
6. (a) Calculate the change in entropy for an adiabatic free expansion
from volume Vi to Vf by having the system first undergo a reversible
adiabatic expansion from Vi to Vf followed by adding heat to the gas
until it returns to its original temperature. Compare this to that obtained
via a reversible isothermal expansion and comment.
(b) Chapter 16, problem 32 and (c) Chapter 16 problem 68.
7. Chapter 17, problem 80.
8. Chapter 35, problem 62.
9. (a) Show for a horizontal parabolic mirror whose surface satisfies
y2 = 4xf x, any horizontal light ray traveling parallel to the center axis
of the parabola will reflect off of the mirror through a focal point at
x=xf, and y=0. (b) Show that a circle with a radius of curvature, R =
2xf, approximates the parabolic mirror near x=y=0. Hint, consider the
condition x<<R for a circle tangent to the parabola at x=y=0.
10. Chapter 37, problem 82. Assuming that d and the height of the fringe
above the mirror, y, both satisfy d <<D and y<<D, find the expression
for, y/D, of all the bright fringes as a function of d, D, and λ.
Remember to include the phase shift that occurs when light reflects off
of an interface across which the index of refraction increases.