Academic Integrity in Physics 2214
Most of the students who take Physics 2214 are headed for professional
careers in engineering, the sciences and medicine. Integrity and honesty
are absolutely essential, and are defining characteristics of a professional
Physics 2214
General Information
Fall 2010
Physics 2214 is the final semester of a three-semester introductory physics sequence. It
covers a wide range of topics essential to those interested in pursuing careers in science and
engineering, and of direct r
1
Physics 2214 Prelim 1
Spring 2011
Your name:
Section number:
Section instructor:
Problem Points Your Score
1-5
20
6
8
7
10
8
10
9
12
10
12
11
14
12
14
TOTAL
100
Instructions
Please write your name, section number and section instructor at the top
Ther
Keys to Success in Physics 2214
1. You can't learn how to do physics by reading the text or the solutions
manual.
Do lots and lots of problems, both on your own and in groups.
Your ability to solve problems on your own is the gold standard
against which t
PHYS 2214 - FALL 2010
Prolem Set 12: Short Answers
1. (a) E = pc
(b) E is doubled; Ee is quadrupled
(c)
Type
Earth-wavelength
Power Lines
Cell-phone Radiation
Visible Red
Visible Violet
Atom-wavelength
Nucleus-wavelength
LHC energy
f [Hz]
30
60
8.50108
4.
1
t
2
P hysics 2L4 S olutions o A ssignment 1
Problem
1
cfw_a T'lie c'r>ndition for the first urilriurural is that the pmsors of the lighr colting thr'ough the finiic slit
add destructively ley make exactl3i one cornplete cirtle" T'hat is the phase of the
Physics2214Assignment11ShortAnswers
Problem1
(a) y 2 R / d
(b) d 2 R
(c)(i)100m(ii)1mm(iii)10cm(iv)1m
Problem2
(a) n = arcsin(
(b) I(1) =
n
) n=1,2,3,4,5,6
d
8
4
8
8
4
I , I (2) = 2 I0 , I ( 3) = 2 I0 , I ( 4 ) = 0, I (5) =
I , I (6) = 2 I0
20
20
9
25
Phys 2214
Homework #9 Solutions
#39.68 a = 5.0 m, D = 2.5 m, E = 40 eV.
(a)
h
h
6.63 10 34 J s
1.94 10 10 m
31
19
p
2mE
2 9.110 kg 40eV 1.6 10 J / eV
(b) t
D
D
2.5m
6.67 10 7 s
19
31
v
2E / m
2 40eV 1.6 10 J / eV / 9.110 kg
(c) For the first minimum
Phys 2214
Homework #1 Solutions
To be graded:
14.20
(a)
f
f sv
fs
1
2
k
m
1
2
k
ms mv
1
2
k
ms
ms
1
f
1
, or s v
.
ms mv
1 mv / ms
fs
1 mv / ms
(b) Substituting into the equation in part (a) gives: mv 9.99 10 15 g 9.99 fg .
14.26 (13.22)
(a) E
E
12
A
kA
Phys 2214
Homework #2 Solutions
To be graded:
(1) You are given the equation for the complex amplitude of a driven damped harmonic
oscillator:
A( )
F0 / m
.
2 i 2 / A
2
0
(a) To find A( ) , use the fact that A( ) A( ) A ( ) . Then
F0 / m
F0 / m
F0 / m
A
Physics 2214 Spring 2010
The iClicker score is based on the total number of clicks, not on correct answers, and is a
measure of lecture attendance.
Exam Pe r f or m ance ve r s us iClick e r Scor e
Exam score relat ive t o class
average
6
4
2
0
-2
Pr elim
How to Prepare for a Physics Exam
Keep in mind your primary objective: You must be able to solve problems that
you haven't seen before, without the help of knowing the answer, and without the
help of your TA or a friend. This is what makes exams hard.
1.
Physics2214
Prelim#1Solutions
Fall2011
1.(a)
2.(d)
Q = o E = o
Tension
1
1
=
=
= 2.0 s1
E 0.5 s
2.(e)
m
km
Weight
Q = o E = k m =
b
b
1.(b)
k100 m
F = ma
Q final
b = 10
=
T W = ma
Qinitial
km
b
T W
a=
m
3.(a) v = f = (0.20 m)(100 s1 ) = 20 m / s
(5 N
Physics2214
Prelim#2Solutions
1.a)
f
= Ao (i )eze i( kzt )
t
2 f
= Ao ( 2 )eze i( kzt )
2
t
2 f
2
= Ao ( + ik ) eze i( kzt )
2
z
Substitutioninwaveequationgives:
1
2
( + ik ) (i ) 2 ( 2 ) = 0
v
2
2
2
2ik k + i + 2 = 0
v
Theimaginarypartgives:
=
2k
1.b)
e
eVo = K max = hf
q2
U ( r) =
4 o r
L = rmv = n
hc
E = = hf =
h
p = k =
h
=
2
px x
Et
2 2
i
=
+ U ( x)
t
2 m x 2
2 2
E =
FormulasforPhysics2214FinalExamFall2011
+ U ( x )
2
*
= probability
v ph =
k
d
vg =
dk
2L
n =
n
h 2n 2
En =
8 mL2
1
E n =
FormulasforPhysics2214Prelim#1,Fall2011
e i = cos + i sin
1
T=
f
= 2f
k
o =
m
b b 2 4 mk
=
2m
Fo m
A( D ) =
2
o2 D 2 + i D
A
2
tan = 2 D A2
o D
2m
A =
b
E = A
2
A
Q= r
AD
Q= r
Q = r E
1
=
E
y
y
= v
t
x
2y
2y
= v2 2
t 2
x
v=
k
v=
B
v=
2
k=
L a b s c h e d u le f o r P h y s ic s 2 2 1 4
F a ll2 0 1 1
Therearesevenrequiredlabsessionsthissemester.Thechartbelowshowsthe
datesofeachlab.
NotethatthefirstlabmeetsonMonday,August29.
Exceptforthefirstlab,thelabweekstartsonaThursdayandendsonaThursda
Physics2214GeneralInformationFall2011
Physics 2214 is the final semester of a threesemester introductory physics
sequence. It covers topics essential to those interested in pursuing careers in
science and engineering, and of direct relevance to understand
Physics 2214
Robert E. Thorne
Lecture 12
Recap: Maxwells equations in integral form:
E d A =
Bd A = 0
Qenc
d
E d = dt B
Bd
dE
= ic +
dt
Maxwells Equations in Differential Form
We can rewrite Maxwells equations in differential form (i.e., as differe
Answers to In-Lecture Multiple Choice Questions Lectures 13-18
13-1: B
13-2: A
13-3: B
13-4: A
13-5: A
13-6: A (e.g., spherical waves)
15-1: C
15-2: B
15-3: D
15-4: C
15-5: D
15-6: C
15-7: D
15-8: C
15-9: C
17-1: C
17-2: C
17-3: C
17-4: C
17-5: B
17-6: C
Answers to In-Lecture Multiple Choice Questions - Lectures 1-12
Complex numbers and functions:
1-1: C
1-2: D
1-3: C
1-4: D
1-5: B
1-6: D
L1-1: A
L1-2: A
L1-3: B
L1-4: A
L1-5: D
L1-6: C, D, D, E, E
L1-7: E
L1-8: B
L1-9: B
L1-10: B
L1-11: A
L1-12: C
L1-13:
Phys 2214
Homework #3 Solutions
To be graded:
#1. y(u) A
u
xt
, with u .
2
bc
1 u
(a) Set the first derivative of y(x=0,t) with respect to t equal to zero:
dy y u y 1 A 1 u 2
A 1 t 2 / c2
0. Then
0, or t c.
dt u t u c c (1 u 2 ) 2
c (1 t 2 / c 2 ) 2
(
Phys 2214
Homework #4 Solutions
vL = 15.0 m/s
vA = 0
To be graded:
vB = 35.0 m/s
16.45 (16.43)
The train frequencies are fA = fB = 392 Hz.
(a) The frequency of the sound coming from train A heard by the listener is due to the motion of
v vL
344m / s 15
P2214
Assignment #1
Due Friday, September 4, 2015
1. Suppose a damped oscillator has m=1.0kg, k=25kg/s2, initial position x(0)=0.5m, and
initial velocity v(0)=0.0m/s.
(a) What is the function x(t) that applies when the damping constant is b=15kg/s?
Provid
P2214
Assignment #2
Due Friday, September 11, 2015
1. The displacement of a medium from its equilibrium position is given by:
!
! ! ! !
, =
The parameters a, b, and c are positive constants with appropriate units. To make this
example a bit less abst
PHYS 2214, Fall 2015
Problem Set 3 Solutions
1. Consider again the wave from Assignment 2 in which the displacement of a medium from its equilibrium
position is given by:
2
e(x/a+t/b)
y(x, t) =
c
The parameters a, b, and c are positive constants with appr
P2214
Assignment #3
Due Friday, September 18, 2015
1. Consider again the wave from Assignment #2 in which the displacement of a medium
from its equilibrium position is given by:
!
! ! ! !
, =
The parameters a, b, and c are positive constants with app