Simultaneous Events
L v
E2 c L
c
v
Tr
Tf
T L D
E1 c v
cTr cTf
L 2 L 2
vTr vTf
T cT
Tf
Tr Tr )
D
v(Tf
c(Tr
Tf )
T
Dv c2
1
If events E1 and E2 are simultaneous in one frame of reference, then in a second frame that moves with speed v
x
x
vt
v2 1 2 c
t
t 1
vx
c2 2 v c2
y z
y z
x
x
vt
2
v 1 2 c
t
t 1
vx
c
2
y z
y z
v2 c2
1
All observers measure c
Burst of light in frame S at t = 0 S' moves with respect to S at velocity v The origins of S and S' coincide o
HW5 Problem #4: An experimenter finds that no photoelectrons are emitted from a particular metal unless the wavelength of light is less than 265 nm. Her experiment will require photoelectrons of maximum kinetic energy 1.9 eV. What frequency light sho
PHY 113
PreLab : Projectile Motion
Name _ Section _ Date _
1. (3 points) When an object is free falling on Earth
1 2
gt where y is the vertical distance it travels, t is the time it takes for the object to travel a
2
distance y, and g is a gravitational a
Review Exercise - Chapter 19
1. If the current in a wire is tripled, what effect does this have on the electron drift velocity in the wire?
a. It stays the same.
b. It triples.
c. It decreases by a factor of three.
d. It increases by a factor of nine.
2.
Review 2 - P112
1. A proton (+1.6 1019 C) moves 10 cm on a path in the direction of a uniform electric field of strength 3.0
N/C. How much work is done on the proton by the electrical field?
a. 4.8 1020 J
b. 4.8 1020 J
c. 1.6 1020 J
d. zero
2. An electron
Review 5
1. A proton moving at a speed of 3.8 106 m/s cuts across the lines of a magnetic field at an angle of 70. The
strength of the field is 0.25 104 T. What is the magnitude of the force acting on the proton? (qp = 1.6
1019 C)
a. 5.1 1018 N
b. 9.0 10
Review 1 - P 112
1. If body M, with a positive charge, is used to charge body N by induction, what will be the nature of the
charge left on the latter?
a. must be equal in magnitude to that on M
b. must be negative
c. must be positive
d. must be greater i
PHY 112- General Physics 11
February 20, 2017
Chapter 21
Electromagnetic Induction
Michael Faraday
1791 1867
Great experimental scientist
Invented electric motor,
generator and transformers
Discovered electromagnetic
induction
Discovered laws of
elec
Review 3 - P 112
1. A wire carries a steady current of 0.1 A over a period of 20 s. What total charge passes through the wire in
this time interval?
a. 200 C
b. 20 C
c. 2 C
d. 0.005 C
2. When an electric current exists within a conducting wire, which of t
PHY 112- General Physics 11
March 13, 2017
Chapter 22-23
AC Circuits and EM Waves
An AC circuit consists of a combination of circuit
elements and an AC generator or source
The output of an AC generator is sinusoidal and
varies with time according to the
Intrinsic Spin
The spinning electron reacts similarly to the orbiting electron in a magnetic field. We should try to find quantites analogous to L, Lz, l, and ml. The magnetic spin quantum number ms has only two values, ms = 1/2.
The electron's
CHAPTER 7 The Hydrogen Atom
7.1 Application of the Schrdinger Equation to the Hydrogen Atom 7.2 Solution of the Schrdinger Equation for Hydrogen 7.3 Quantum Numbers 7.4 Magnetic Effects on Atomic Spectra The Normal Zeeman Effect 7.5 Intrinsic Spin
Calculate the transmission probability T for a particle of mass m and energy E incident from the right on the potential step shown in the figure. The energy E indicated by the dashed line is above the height V0 of the potential step. Do this calculat
SOLUTIONS-Problems Exam3-Spring 2008 1. Suppose that a particle in the one-dimensional infinite well obeyed a rule that the quantum number n could change by only one unit as the particle make transitions among the excited states. Show that the photon
Review Problems EXAM#2 (Chapters 3-5) PHY-361 Spring 2007
1. A 0.200-pm photon scatters from a free electron that is initially at rest. For what photon scattering angle will be the kinetic energy of the recoiling electron equal the energy of the scat
CHAPTER 4 Structure of the Atom
4.1 4.2 4.3 4.4 4.5 4.6 4.7
The Atomic Models of Thomson and Rutherford Rutherford Scattering The Classic Atomic Model The Bohr Model of the Hydrogen Atom Successes and Failures of the Bohr Model Characteris
CHAPTER 4 Structure of the Atom
4.1 4.2 4.3 4.4 4.5 4.6 4.7
The Atomic Models of Thomson and Rutherford Rutherford Scattering The Classic Atomic Model The Bohr Model of the Hydrogen Atom Successes and Failures of the Bohr Model Characteris
CHAPTER 5
Wave Properties of Matter and Quantum Mechanics I
X-Ray Scattering De Broglie Waves Electron Scattering Wave Motion Waves or Particles? Uncertainty Principle Probability, Wave Functions, and the Copenhagen Interpretation 5.8 Parti
Gaussian Function
When a set of measurements is made of some quantity x in which the experimental errors are random, the result is often a Gaussian distribution. The standard deviation of the measurements is a measure of the spread of x values abou
Einstein’s box
The location of the CM of an isolated system cannot be
changed by any process that occurs inside the system.
Consider a box of length L that rests on a frictionless surface;
the mass M of the box is equally divided between its two ends.
M
An observer in frame S stand ing at the origin observes two flashes of colored light separ ated spatially by x = 2400 m. A b lue flash occurs first, followed by a red flash 5 s later. An ob server in S' moving along the x axis at speed v relative to
Looking at a Moving Clock
Consider a flashing clock (i.e. one that emits a flash of light every time it ticks).
When at rest it ticks every t seconds. You are watching this flashing clock through a telescope as it moves away from you at a velocity
"Principle of the invariance of coincidences": when one observer says two events coincide in space and time, so will all other observers.
Moving Clocks run slowly
Moving Sticks shrink
1
The Length of a Moving Stick: Part 1
The length of a meter
Theory of Special Relativity
It rests on two experimental facts:
1. The principle of relativity (Galileo) 2. The principle of the constancy of the speed of light (Einstein)
The Principle of Relativity
One cannot tell, by any experiment, whether o