Physics 422 - Spring 2016 - Assignment #8, Due April 29th
1. Total internal reflection occurs when the angle of incidence, i , in a
medium with index of refraction n1 , is greater than the critical angle, C =
sin1 n2 /n1 , when the medium on the other sid
Physics 422 - Spring 2013 - Assignment #6, Due April 14th
1. (Hecht, 8.16) Two ideal linear sheet polarizers are arranged with respect
to the vertical with their transmission axis at 10 and 60 , respectively. If a
linearly polarized beam of light with its
Physics 42200
Waves & Oscillations
Lecture 31 Polarization of Light
Spring 2014 Semester
Matthew Jones
Types of Polarization
Light propagating through different materials:
One polarization component can be absorbed
more than the other
One polarization
Physics 42200
Waves & Oscillations
Lecture 32 Polarization of Light
Spring 2014 Semester
Matthew Jones
Polarization
( , )=
cos
( , )=
cos
+
Unpolarized light: Random
,
,
Linear polarization: = 0,
Circular polarization:
=
and
=
Elliptical polarizati
Physics 42200
Waves & Oscillations
Lecture 30 Electromagnetic Waves
Spring 2014 Semester
Matthew Jones
Electromagnetism
Geometric optics overlooks the wave nature of
light.
Light inconsistent with longitudinal waves in an
ethereal medium
Still an excel
Physics 422 - Spring 2014 - Assignment #4, Due March 10th
1. A string of length L = 8 m, tension T = 4 N and linear mass density
= 1 kg/m is initially at rest, but has an initial displacement described by
the function
0
f (x) = 1
0
11
00
11
00
11
00
11
0
Physics 422 - Spring 2013 - Assignment #5, Due April 4th
1. (Hecht, 5.22) Determine the focal length in air of a thin spherical planarconvex lens having a radius of curvature of 50.0 mm and an index of refraction
of 1.50. What, if anything, would happen t
Physics 422 - Spring 2014 - Assignment #3, Due February 28th
1. A log with mass M = 100 kg is oating in Lake Michigan, which contains
fresh water, so its density is = 1 g/cm3 . The log has a cross sectional area,
A = 500 cm2 , and is oriented vertically a
Physics 422 - Spring 2014 - Assignment #2, Due February 7th
1. A mass attached to a spring (which has neglibible mass) is described by
the dierential equation
mx + bx + kx = 0
(1)
which has a solution that can be written
x(t) = Aet/2 cos(t).
(2)
What is t
Physics 422 - Spring 2013 - Assignment #1, Due January 24th
1. Show that the complex valued function
z (t) = aei eit + bei eit
can be written in the form
z (t) = rei(t+)
and nd expressions for r and in terms of the real numbers a, b, and .
2. A mass is sl
Physics 42200
Waves & Oscillations
Lecture 29 Geometric Optics
Spring 2014 Semester
Matthew Jones
Aberrations
We have continued to make approximations:
Paraxial rays
Spherical lenses
Index of refraction independent of wavelength
How do these approxim
For a string of length L, tension T and mass per unit length ,
the wave velocity is given by
T
v:
and the frequency of the normal modes of oscillation are
n
T
L
n_
:
a general solution to the wave equation with boundary conditions y 0
yL
0 can be written
For a string of length L, tension T and mass per unit length ,
the wave velocity is given by
T
v:
and the frequency of the normal modes of oscillation are
n
T
L
n_
:
a general solution to the wave equation with boundary conditions y 0
yL
0 can be written
In[1]:=
For a string of length L, tension T and mass per unit length ,
the wave velocity is given by
T
v:
and the frequency of the normal modes of oscillation are
In[2]:=
n
T
L
n_
:
In[3]:=
a general solution to the wave equation with boundary conditions
Physics 422 - Spring 2016 - Assignment #7, Due April 8st
1. Consider a doublet made of two lenses with different indices of refraction
as shown below:
n1
n2
If the front surface has radius of curvature R1 , the interface between the
two lenses has radius
Physics 422 - Spring 2016 - Assignment #6, Due April 1st
1. A transmission line has length L with characteristic impedance Z0 in
which signals propagate with speed v. One end is attached to a voltage
source with source impedance Zs = Z0 while the other en
Physics 422 - Spring 2016 - Assignment #4, Due February 12th
1. A mass m forms a pendulum of length L, and is hung from a pin attached
to a wheel of radius r that rotates with constant angular velocity as shown:
r
L
m
x
(a) Consider the axis of the wheel
J
C
>
J
l
l
ha
e Law,
lgmiwuiiem4
Our 2.
.1401?
a 5
IA.
ll.
m
@0615, :1;
m: .
\J
i
Ace ,
L 42:de
Lt (tn/L
_
l, [\er \
7le C 30 M
, , 7/! Q
I llkgtiwwf fwci l 1 w l
w I ll 1
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FORM C
APPROVED FOR USE IN
PURDUE UNIVERSITY
, I 4'
,i , _ _ 3 i=2! K Lag C (1 cfw_J FfL (bd r O _ , a
i r I i cfw_A
_ :7 ,_._ _. v ,. ,.,_,Az, . _.,
1 ~ 2 g ' :
d7 (14 3, ( (:1_: _, 4E : W 1 LJKJ g ' 3 (r) 7 , FORM C
APPROVED FOR USE IN
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Physics 422 - Spring 2015 - Assignment #5
Due Wednesday, April 1st
1. Use Fermats principle to derive the law of reflection,
sin 1 = sin 2 ,
using the geometry shown below and the requirement that the optical path
length between points A and B be stationa
Physics 422 - Spring 2015 - Assignment #3, Due Wednesday,
February 18th
1. Consider a system of two springs and two masses that are connected
together by a damper as shown:
111
000
000
111
000
111
000
111
000
111
000
111
k
k
b
m
m
111
000
000
111
000
111
Physics 422 - Spring 2015 - Assignment #2, Due February 9th
1. (a) A charge q with mass m is placed on the x-axis, in between two fixed
charges Q as shown:
Q
x=0
d
q
Q
xaxis
d
If the charge is constrained to move only along the x-axis, calculate the
frequ
Physics 422 - Spring 2015 - Assignment #4
Due Friday, March 6th
1. The Euler-Bernoulli equation can be used to describe the time-dependent
deflection of a beam on which no external forces act:
YI
4w
2w
+
= 0
x4
t2
In this equation, Y is the elastic modu