1. The first Bohrs radius (for electron in hydrogen atom in
s
the ground state):
the
a0 =
2
mke
2
0.0529nm
2. The ground energy level in hydrogen atom:
2.
E0 =
mk 2e 4
2 2
1 ke 2
=
13.6eV
2 a0
3. The energy levels, orbit radius, kinetic energy, linear,
PHY 3101
Exam #1
Name_ID_
1. A heavy version of the electron, called the muon, differs from the
electron only in that its mass is m 207me. (a) What is the radius of the
muonic hydrogen atom in its ground state? (b) Calculate the
wavelength of radiation em
Review Exam #2
1. A monochromatic beam of light is absorbed by a collection of groundstate hydrogen atoms in such a way that six different wavelengths are
observed when the hydrogen relaxes back to the ground state.
(a) What is the wavelength of the incid
Today
Einsteins Relativity
All laws of physics identical in inertial reference frames
Speed of light = c in all inertial reference frames
Special Relativity
Lorentz transformation: (space and time)
Relativistic dynamics
Relativistic momentum
Relativisti
Physics III
Physics for Engineers and Scientists III
Prof. Dr. Alfons Schulte
Department of Physics, UCF Office: PS 411
e-mail: [email protected]
Office hours:
Course Text:
Modern Physics 4th Ed.
Stephen T. Thornton,
Andrew Rex
Mo, We
11:00 - 11:45 am
Notation: reference frames
Today
Relativistic velocity transformation
Special Relativity
ux '
along x
Experimental verification of special
relativity
ux v
u v
1 x2
c
uy
u v
1 x2
c
uz
uy'
u v
1 x2
c
uy'
Twin paradox
Space-Time
Relativistic mo
Photoelectric effect: Typical setup
Today
Ch. 3
Incident light triggers the
emission of (photo) electrons
from the cathode
Some of them travel toward
the collector (anode) with
an initial kinetic energy
Experimental basis of quantum physics
Photoelectr
Today
Ch. 4
Chapter 4: Structure of the Atom
Structure of the Atom
Atomic models of Thomson and Rutherford
4.1
4.2
4.3
4.4
4.5
4.6
4.7
Bohr model of the atom
L9_1
afs 01fa14 L9
Length scales: What is the size of an atom ?
Characteristic X-Ray Spectra an
Electromagnetic spectrum
Today
Experimental Basis of Quantum Physics
Line spectra and quantization
Blackbody radiation
Photoelectric effect
L7_1
afs 01fa14 L7
Line Spectra
Chemical elements were observed to produce unique
wavelengths of light when burn
Summary of Special Relativity
Today
Lorentz transformation:
Lorentz transformations:
Ideas of General Relativity
Experimental Basis of Quantum Physics
1
.
1 v2 / c2
Relativistic momentum:
Discovery of the X-ray and the electron
Massenergy relation:
Probalistic Interpretation of the Wave Function
Today
P ( x ) dx
2
Ch. 5 Quantum Mechanics I
2
Uncertainty principle
Wavefunction and probability
Ch. 6
Quantum Mechanics II
(The Schrdinger Equation)
Schrdinger wave equation
Particle in a box
Three-d
The Schrdinger Wave Equation
The Schrdinger wave equation in its time-dependent form
for a particle of energy E moving in a potential V in one
dimension is:
Today
Ch. 6
Quantum Mechanics II
(The Schrdinger Equation)
i
Infinite Square-Well
Operators and Ex
Today
Exam 1
Wednesday, Sep 24, 12:00pm, ENG2 102
Ch. 4
covers Chpts. 1 - 4.5
Bohr model - reduced mass approximation
The Structure of the Atom
Review for Exam 1
Closed book and closed notes
Provided: formula sheet
Allowed calculator (not internet enable
Inertial reference frames: v = const.
Today
Lorentz
transformation
Special Relativity
Addition of velocities
v t
Proper time
x
Time dilation
Length contraction
x
x = ( x + v t )
1
1 v2 c2
x = (x - v t )
Newton Mechanics -> Galilean: v/c = 0, = 1, t =
Today
Inertial Reference Frame
Special Relativity
An inertial reference frame is one
in which no accelerations are observed in the
absence of external forces.
that is not accelerating.
Newtons laws hold in all inertial reference frames.
Michelson-Morl
r
4. A LOU-moi sampie of a monatomic ideal gas is taken through the cycie
shown in Figure. At point A, the pressure, volume, and temperature are R, Vi,
and Ty, respectiyeiy. in terms of i? and T,-, find {a} the total energy entering the
system by heat per
PHY 3101 Exam 1 Fall 2014
Q1 Total
Q2
P1 iZ‘E V
P2 Name:
P3
P4 Student ID:
Time: 7 0 minutes
This is a closed book - closed notes exam. A formula sheet is provided.
Clearly show everything that you do with the help of ﬁgures, graphs, equations, etc.
There
PHY 3101 Exam 2 Fall 2014
Q1 Total
Q2
P1
P2 Name: '4 E” Y
P3
P4 Student ID:
Time: 70 minutes -
This is a closed book — closed notes exam. A formula sheet is provided.
Clearly show everything that you do with the help of ﬁgures, graphs, equations, etc.
The
Franck-Hertz Experiment
Today
Ch. 4
Bohr Atom
Franck-Hertz Experiment
Ch. 5
Wave Properties of Matter and QM 1
X-Ray Scattering
Shows the excitation of atoms to discrete energy levels and is
consistent with the results suggested by line spectra
Mercur
Wave Motion
Today
Ch. 5
Frequency and Wavelength
Frequency f, wavelength ,
and speed of propagation c
of any wave are related
Quantum Mechanics I
cf
Wave properties of matter
Uncertainty principle
Wavefunction and probability
Particle in a box
spatial va
Tunneling wave function
Today
Ch. 6
Quantum Mechanics II
Alpha Decay
2m(V0 E )
Isotope effect
3-D Infinite Potential Well
Ch. 7
The Hydrogen Atom
This violation of classical physics is allowed by the uncertainty
principle. The particle can violate class
Quantization of Charge, Light, and
Energy
CHAPTER 3
Prelude to Quantum Theory
Max Karl Ernst Ludwig
Planck (1858-1947)
Discovery of the X-Ray and the Electron
Determination of Electron Charge
Line Spectra
Quantization
Blackbody Radiation
Photoelectric Eff
Operators
As we have seen, for a particle in a state of definite energy
the probability distribution is independent of time. The
expectation value of x is then given by
+
x =
* ( x) x ( x) dx
In general, the expectation value of any function f(x) is give
Quantization of Charge, Light, and
Energy
CHAPTER 3
Prelude to Quantum Theory
Max Karl Ernst Ludwig
Planck (1858-1947)
Discovery of the X-Ray and the Electron
Determination of Electron Charge
Line Spectra
Quantization
Blackbody Radiation
Photoelectric Eff
Chapter 5
The Wavelike Properties of
Particles
CHAPTER 5
Wave Properties of Matter and Quantum Mechanics
De Broglie Waves
Electron Scattering
Wave Motion
Waves or Particles?
Uncertainty Principle
Probability, Wave Functions,
and the Copenhagen
Interpretat
Chapter 22
Heat Engines, Entropy and the
Second Law of Thermodynamics
First Law of Thermodynamics
Review
The first law states that a change in internal
energy in a system can occur as a result of
energy transfer by heat, by work, or by both.
The law ma