Thisexperimenthasthreemainparts.Inthefirstpart,thespecificheatcapacityofametalwillbedetermined.,and
itsmolarmasswillbeapproximatedbythespecificheatcapacity.Thethesecondpartoftheexperiment,theenthalpy
of neutralization of two strong acids with a strong bas
PHY2311 Waves and Optics: Midterm Exam
October 31, 2012, 8:30am-9:50am, LMX 339
Name:
Student number:
Instructions.
This exam has two pages.
This is a closed book exam. A one page one side formula sheet is permitted and must be handed in.
Calculators a
PHY2311 Homework 8. Due Wednesday October 12, 2016, beginning of class.
(Monday Oct 10 is Thanksgiving!)
Question 1
Derive the Law of Reflection using Fermats Principle.
Question 2 Imagine an optical medium defined in 3D from x=0 to x=L, and over all y
an
Propagation of Light
How does matter affect light propagation?
http:/en.wikipedia.org/wiki/File:Sunset_2007-1.jpg
Rayleigh scattering
Reflection
Refraction
Scattering of light
small molecule or atom
light
Scattered light approximately a
spherical wavelet
The Wave Equation and
the Speed of Light
Chapter 1
Physics 208, Electro-optics
Peter Beyersdorf
Document info
Ch 1
Class Outline
Maxwells equations
Boundary conditions
Poyntings theorem and conservation laws
Complex function formalism
time average of sinu
PHY2311 Homework 4. Due Monday September 26, 2016, beginning of class.
Question 1
Consider an electromagnetic plane wave travelling in the +z direction, where the electric
field vector points in the y direction. The wavelength of the wave is 100nm, and it
H. Kleinert, PATH INTEGRALS
May 27, 2012 (/home/kleinert/kleinert/books/pathis/pthic9.tex)
Tollimur in caelum curvato gurgite, et idem
subducta ad manes imos descendimus unda
We are carried up to the heaven by the circling wave,
and immediately the wave s
PHY2311 Homework 5. Due Monday September 26, 2016, beginning of class.
Question 1
How much stronger is blue light scattering from an atom or small molecule than red light
scattering form an atom or small molecule? That is, what is the intensity of scatter
Astrophysics Assignment #4
Due Date Feb. 23
Name_
#1.
An asteroid (m = 1 x 1019 kg) coming from a great distance crashes onto the surface
of Venus. If its initial speed is 6.0 km/s, with what speed does it impact the surface of
Venus? Include the potentia
name
MEASURING ANGLES
Fig 1: Islamic Astronomers of the Middle Ages in an
Observatory in Istanbul.
Fig 2: Tycho Brahe in Denmark. His observations were
later used by Kepler.
Image can be found in the book History of the Modern World by
Palmer, Colton & Kr
What is a wave?
A wave is anything that moves.
To displace any function f(x) to the
right, just change its argument from
x to x-a, where a is a positive
number.
If we let a = v t, where v is positive
and t is time, then the displacement
will increase with
PHY2311 Homework 9. Due Wednesday October 12, 2016, beginning of class.
(Monday Oct 10 is Thanksgiving!)
Question 1
Recall from class that, for a transparent material with a single resonance, a forced
oscillator model yields the following expression for i
PHY2311
Assignment 1 : Solutions
UNIVERSITY OF OTTAWA
Solution
The strategy is to ensure that each can be written in the form
( )
(1)
where x is the direction of motion, v is the speed of the wave, and t is time AND/OR to prove that
satisfies the 1D wave
in. fiejadmaK-j 5&5ch M4: :anc dd
Meier: car-E fhslf m Hie 7 Jr'05
444:6; 141.3? "lm an. m 3*2 Firm! dug! V-cfw_g cfw_aha-M
.mC Jncwth 'Z-E '1 zamz.
TO WWI-C Lymsrd 3Q? W Iain-HS -9- 11.442515
m If M33 fang Lie ra-rifepaim q; Hiuszsbok
dfmdfka-
_: Tie mgj
PHY2311
Assignment 5 Solutions
FALL 2016
UNIVERSITY OF OTTAWA
From the textbook table 3.4, take the vacuum wavelengths of red and blue light to be in the middle of
the range given, that is 701nm for red and 473 nm for blue. Then considering that the scatt
PHY2311 Homework 2. Due Monday September 19, 2016 beginning of class
Question 1:
Verify that (r , t ) A exp ik r it i is a solution to the 3D wave equation.
What is the speed of the wave? What is the direction of propagation?
Is this a harmonic wave? If
PHY2311 Homework 1. Due Wednesday September 14, beginning of class.
Question 1:
Determine which of the following functions describe travelling waves. Where
appropriate, draw the profile and find the speed and direction of motion.
a) x, t Ao e a x bt
2
b)
PHY2311
Assignment 4 Solutions
FALL 2016
UNIVERSITY OF OTTAWA
Soln
Assuming free-space propagation, we have
= = 31015 = 3
(1)
Where f is the frequency of the wave, c is the speed of light (3108 /), and is the wavelength. The
period is defined by the fre
PHY2311 Homework 3. Due Monday September 19, 2016, beginning of class.
Consider a harmonic electromagnetic plane wave with angular frequency and
propagation vector k=(kx,ky,kz) (i.e., propagating in an arbitrary direction). The electric
field vector is E=
PHY2311 Homework 10. Due Monday October 17, beginning of class.
Use Snells law to derive equation 5.8 in the book that describes refraction from a
spherical interface, in the small angle limit, i.e.,
n1 n2 n2 n1
so si
R
Hints: Use the following figure, an