Christopher McCarter
AP Literature
2/1/14
Students will prepare the following question the following questions for a socratic seminar.
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A Dolls House is full of references to dolls, puppets, and playthings. Trace these references
and limit diffraction spreading. The laser beam is sent through the
telescope in opposite the normal direction and can then be projected
onto a satellite or the Moon.
(a) If this is done with the Mount Wilson telescope, producing a 2.54-mdiameter
beam of
Check Your Understanding
What is the momentum of an electron traveling at a speed 0.985c ? The rest mass of the electron is 9.111031 kg .
Solution
(28.42)
p = mu = mu
1 u2
c2
= (9.111031 kg)(0.985)(3.00108 m/s)
1 (0.985c)2
c2
= 1.561021 kg m/s
1014 CHAPTE
Suppose a cosmic ray colliding with a nucleus in the Earths upper atmosphere produces a muon that has a velocity v = 0.950c .
The muon
then travels at constant velocity and lives 1.52 s as measured in the muons frame of reference. (You can imagine this as
18. Figure 27.56 shows a double slit located a distance x from a
screen, with the distance from the center of the screen given by y .
When the distance d between the slits is relatively large, there will be
numerous bright spots, called fringes. Show that
= 0.251 MeV
Discussion
As might be expected, since the velocity is 99.0% of the speed of light, the classical kinetic energy is significantly off from the correct
relativistic
value. Note also that the classical value is much smaller than the relativistic
Apart from the UV microscope, the variations of microscopy discussed so far in this section are available as attachments to fairly
standard
microscopes or as slight variations. The next level of sophistication is provided by commercial confocal microscope
The second postulate upon which Einstein based his theory of special relativity deals with the speed of light. Late in the 19th
century, the major tenets
of classical physics were well established. Two of the most important were the laws of electricity an
Glossary
the method of adding velocities when v<c ; velocities add like regular numbers in one-dimensional motion:
u = v+u , where v is the velocity between two observers, u is the velocity of an object relative to one observer, and u is the
velocity
rela
To save money on making military aircraft invisible to radar, an inventor
decides to coat them with a non-reflective material having an index of
refraction of 1.20, which is between that of air and the surface of the
plane. This, he reasons, should be muc
Solution for (a)
The Rayleigh criterion for the minimum resolvable angle is
(27.26) = 1.22D
.
Entering known values gives
(27.27) = 1.22550109 m
2.40 m
= 2.80107 rad.
Solution for (b)
The distance s between two objects a distance r away and separated by a
1 +uc
.
Notice that the and + signs are different than in the wavelength equation.
Career Connection: Astronomer
If you are interested in a career that requires a knowledge of special relativity, theres probably no better connection than astronomy.
Astron
When the intensity is reduced by 90.0% , it is 10.0% or 0.100 times its original value. That is, I = 0.100I0 . Using this information,
the
equation I = I0 cos2 can be used to solve for the needed angle.
Solution
Solving the equation I = I0 cos2 for cos an
on precise time measurements to communicate. The signals travel at relativistic speeds. Without corrections for time dilation, the
satellites could
not communicate, and the GPS system would fail within minutes.
The Twin Paradox
An intriguing consequence o
(a) On a day when the intensity of sunlight is 1.00 kW / m2 , a circular
lens 0.200 m in diameter focuses light onto water in a black beaker.
Two polarizing sheets of plastic are placed in front of the lens with their
axes at an angle of 20.0. Assuming th
to relate the two time intervals. Thus,
(28.7) (t)2 = (t0 )2 + v2
c2(t)2.
Gathering terms, we solve for t :
(28.8) (t)2
1 v2
c2
= (t0 )2.
Thus,
(28.9)
(t)2 = (t0 )2
1 v2
c2
.
Taking the square root yields an important relationship between elapsed times:
(
Solution for (b)
For destructive interference, the path length difference here is an integral multiple of the wavelength. The first occurs for zero
thickness, since
there is a phase change at the top surface. That is,
td = 0. (27.40)
The first non-zero th
1 v2
c2
= 2.10108 s
1 (1.90108 m/s)2
(3.00108 m/s)2
= 2.71108 s
28.3 Length Contraction
Figure 28.9 People might describe distances differently, but at relativistic speeds, the distances really are different. (credit: Corey Leopold, Flickr)
Have you ever
Willy and Biff exhibit a dysfunctional relationship throughout the duration of Death of a
Salesman. The majority of this dysfunction stems from Willy and Biffs differing definition of
success. Willys definition of success revolves around appearance, while
Paradise Lost Quotes
[The action of Adam and Eve] was known in heavn; for what can scape the Eye of God Allseeing or deceive his Heart Omniscient, who in all things wise and just, Hinderd not Satan to
attempt the mind of Man, with strength entire, and fre
Christopher McCarter
Introduction to Digital Technology
1/23/14
1st Block
The Stranded Jeroo Brothers
Objective: Four brothers are out exploring Santong Island when a devastating earthquake nearly
separates the island. It is your mission to reunite the br
1
An Analysis of the Dysfunctional Relationship between Biff and Willy
Christopher McCarter
AP Literature
October 23, 2013
Mrs. Romero
2
An Analysis of the Dysfunctional Relationship between Biff and Willy
Willy and Biff exhibit a dysfunctional relationsh
McCarter
Christopher McCarter
Mrs. Deidra Romero
AP Literature
13 February 2014
Ednas Suicide in The Awakening: An Act of Insanity
The ending of Kate Chopins novel The Awakening is controversial and polarizing among
its critics. One group of critics see E
The yellow fog that rubs its back upon the window-panes,
The yellow smoke that rubs its muzzle on the window-panes
Licked its tongue into the corners of the evening,
Lingered upon the pools that stand in drains,
Let fall upon its back the soot that falls
Christopher McCarter
TPCASTT- The Love Song of J. Alfred Prufrock
AP Literature
12/8/13
7th Period
Analysis of The Love Song of J. Alfred Prufrock (TPCASTT)
Title: Upon first glance, I believe that The Love Story of J. Alfred Prufrock is an ironic title.
ParadiseLost:Book
X
ChristopherMcCarter&
SydneySpight
APLiterature
AdamandEvesTransgression
Book X opens after Adam and Eve have eaten from the Tree
of Knowledge. God immediately knows of the couples
transgression.
[The action of Adam and Eve] was known i
Strategy
One gram is a small massless than half the mass of a penny. We can multiply this mass, in SI units, by the speed of light squared
to find the
equivalent rest energy.
Solution
1. Identify the knowns. m = 1.00103 kg ; c = 3.00108 m/s
CHAPTER 28 | S
c2 = (2.50 km) 1 (0.750c)2
c2 = 1.65 km
1008 CHAPTER 28 | SPECIAL RELATIVITY
This content is available for free at http:/cnx.org/content/col11406/1.7
28.4 Relativistic Addition of Velocities
Figure 28.13 The total velocity of a kayak, like this one on the
two closely spaced point objects is called resolution. The smaller the distance x by which two objects can be separated and still be
seen as distinct,
the greater the resolution. The resolving power of a lens is defined as that distance x . An expression