HW#1, due 9/10/2014
1. Derive Stefan-Boltzmann law from Wiens law.
Hint: you can use (without proof)
( )
(
)
(
)
2. Using Plancks Law of spectral distribution, prove that
at which (
(
) .
, where
is the wavelength
) has its maximum value for a given absol
HW#3, due 9/24/2014
Griffiths 1.3, 1.7, 1.16, 1.17, 1.18
B1. What is the kinetic energy of (a) an electron, (b) an alpha particle (doubly ionized helium
atom), and (c) a neutron having a de Broglie wavelength of 1 ?
Average Particle Energy in an Ideal Gas
- the total energy of the system is found by summing up (integrating) over all particles
n() at different energies
- with the integral
- we find
- note:
- the total energy is proportional to temperature T and the n
Energy,Powerand
ClimateChange
Wiens Law and
Stefan-Boltzmann Law
BlackbodyRadiation
Radiation given out from a hot object
depends on many things.
Black-body radiation is the radiation
emitted by a perfect emitter - a perfect
emitter emits all the radiat
6
Black-body radiation
The subjects for consideration in this chapter are the black-body model, which is of
primary importance in thermal radiation theory and practice, and the fundamental
laws of radiation of such a system. Natural and articial physical
MATH 235, by T. Lakoba, University of Vermont
13
119
Black-body radiation and Plancks formula
This concluding Lecture contains a lighter load of mathematics than most of the other Lectures. From the mathematical perspective, we will see some applications
CE503 Rotation Matrices
Derivation of 2D Rotation Matrix
Figure 1. Coordinates of point p in two systems Write the (x,y) coordinates in terms of the (x,y) coordinates by inspection,
x = x ' cos y ' sin y = x ' sin + y ' cos
In matrix form, x cos y = sin
CETIIPUC:PHYSICS:ATOMICPHYSICS1
INTRODUCTIONTOATOMICPHYSICS,PHOTOELECTRICEFFECT
DUALNATUREOFMATTER,BOHRSATOMMODEL
SCATTERINGOFLIGHTandLASERS
QUESTIONS
1) Which of the following statements are correct?
a) Electromagnetic waves can have wavelengths of sever
CET - II PUC: PHYSICS: ATOMIC PHYSICS -1
INTRODUCTIONTOATOMICPHYSICS,PHOTOELECTRICEFFECT
DUALNATUREOFMATTER,BOHRSATOMMODEL
SCATTERINGOFLIGHTandLASERS
QUESTIONSandANSWERS
1) Which of the following statements are correct?
a) Electromagnetic waves can have w
* View All Solutions Here *
PA R T 5
QUESTIONS
Light QuantaPhotons An electromagnetic wave (light) is
quantized, and its quanta are called photons. For a light wave of
frequency f and wavelength l, the energy E and momentum magnitude p of a photon are
E h
2IV60 Exercise 2: Transformations and viewing
1. Given a square with width and height 1, with the lower left corner in the origin:
s
C
B
1
A
O
1
a. Give a transformation matrix to transform this square to a square with width s,
rotated over an angle , suc
P1: FYJ
International Journal of Theoretical Physics [ijtp]
PP777-ijtp-461707
April 1, 2003
21:50
Style le version May 30th, 2002
International Journal of Theoretical Physics, Vol. 42, No. 1, January 2003 ( C 2003)
Plancks Spectral Distribution Law in N D
2. The Wave Functions
1. De Broglie hypothesis
2. The Schrdinger Equation
3. Borns Statistical Interpretation
4. Probability
5. Normalization
6. Momentum
7. The Uncertainty Principle
1
Some History
Early 20th century: revolutionary ideas from bright minds
Appendix. Linear Algebra
1.
Vectors
2.
Inner Products
3.
Matrices
4.
Changing Bases
5.
Eigenvectors and Eigenvalues
6.
Hermitian Transformations
1
A.1. Vectors
Consider a vector space consists of a set of vector V together
with a set of scalars F,
V , , ,
PHY401-Modern Physics I Fall 2014
Instructor:
Office:
Class:
Office hours:
Prof. Hao Zeng (Email: [email protected])
225 Fronczak Hall (Phone: 645-2946)
Mon, Wed and Fri, 1:00-1:50 PM, Room 219, Fronczak Hall
Tuesday 2-3 PM or by appointment
Textbook:
G