Physics 205 Quiz 1
Example
NAME
10pt) The separation of two atoms in a molecule is given by x = A sin(t) where A
and are constant.
a) Give a brief description of how the atoms are moving.
b) Show that the acceleration as a function of time is equal to a =
Class 04: Outline
Hour 1:
Working In Groups
Expt. 1: Visualizations
Hour 2:
Electric Potential
Pick up Group Assignment at Back of Room
P04 - 1
Groups
P04 - 2
Advantages of Groups
Three heads are better than one
Dont know? Ask your teammates
Do know? T
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics
Problem Solving 3: Gausss Law
REFERENCE: Section 4.2, 8.02 Course Notes.
Introduction
When approaching Gausss Law problems, we described a problem solving strategy summarized below (see also, Sec
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics
Problem Solving 8: Circuits
OBJECTIVES 1. To gain intuition for the behavior of DC circuits with both resistors and capacitors or inductors. In this particular problem solving you will be working
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Department of Physics
Problem Solving 6: Magnetic Force & Torque
OBJECTIVES
1. To look at the behavior of a charged particle in a uniform magnetic field by studying
the operation of a mass spectrometer
2. To calculate
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Physics
Problem Solving 4: Capacitance and Stored Energy
OBJECTIVES 1. To calculate the capacitance of a simple capacitor. 2. To calculate the energy stored in a capacitor in two ways. REFERENCE: Section
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
Earth, Atmospheric, and Planetary Sciences Department
Astronomy 8.282J12.402J
March 8, 2006
Problem Set 5
Due: Friday, March 17. This problem set is not to be turned in due to the upcoming quiz;
how
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
Earth, Atmospheric, and Planetary Sciences Department
Astronomy 8.282J12.402J
March 21, 2005
Quiz 1 Solutions
Name Last First
(please print)
1. 2. 3. 4.
Be sure to attempt all problems. The point v
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
Earth, Atmospheric, and Planetary Sciences Department
Astronomy 8.282J12.402J
April 5, 2006
Problem Set 8
Due: Wednesday, April 12 (in lecture)
Reading: Zeilik & Gregory: Chapters 16 & 17.
Reminder:
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
Earth, Atmospheric, and Planetary Sciences Department
Astronomy 8.282J12.402J
March 22, 2006
Problem Set 7
Due: Wednesday, April 5 (in lecture)
Reading: Zeilik & Gregory: Chapters 14 and 15.
Problem
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
Physics Department
Earth, Atmospheric, and Planetary Sciences Department
Astronomy 8.282J12.402J
February 22, 2006
Problem Set 3
Due: Wednesday, March 1 (in lecture)
Reading: Zeilik & Gregory Chapters 8 & 9 (over the
Heat
Physics 306
Assignment 1
Homework Assignment 1
(Temperature and the Zeroth Law.)
1) Classical and Statistical Thermodynamics, Carter Chapter 1
1.1 through 1.5
1.8 and 1.9
1.11
2) A tank has two rooms separated by a membrane. Room A has 1 kg of air
Heat
Physics 306
Homework Assignment 6
(Entropy)
1) Classical and Statistical Thermodynamics, Carter Chapter 6
5, 6, & 7
12 & 13
2) Using the equation for the entropy change of an ideal gas
when the volume and temperature change, and T V 1 is a
constant
Heat
Physics 306
Homework Assignment 5
(Heat Engines.)
1) Classical and Statistical Thermodynamics, Carter Chapter 5
5.3 through 5.5
5.14 and 5.15
2) The gure shows a diesel cycle approximating the behavior
of a diesel engine. Process ab is an adiabatic
Heat
Physics 306
Homework Assignment 4
(Heat Capacities and Enthalpy.)
1) Classical and Statistical Thermodynamics, Carter Chapter 4
4.3 and 4.4
4.8 and 4.12
4.15
2) A 25 kg cast-iron (Ciron = 0.42) wood burning stove contains 5 kg of soft pine wood
(C
Heat
Physics 306
Homework Assignment 3
(Heat and the First Law.)
1) Classical and Statistical Thermodynamics, Carter Chapter 3
3.1 through 3.3
3.6 and 3.7
3.11
2) The brake and steel drum of a car continuously absorb 25 W as the car slows down.
Assume
Heat
Physics 306
Homework Assignment 2
(Equations of State.)
1) Classical and Statistical Thermodynamics, Carter Chapter 2
2.2
2.4 and 2.5
2.7
2) Air in an internal combustion engine has 227 o C, 100 kP a with a volume of 0.1 m3 .
Now combustion heats
Quantum Mechanics
Physics 403
Homework Assignment 9
(Schrdinger equation in three dimensions)
o
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 4
4.2
4.3
4.6
4.8
2) The 3-d harmonic oscilator has the potentail
Kx x 2 Ky y 2 Kz z 2
+
+
2
2
Quantum Mechanics
Physics 403
Homework Assignment 12
Perturbation Theory
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 6
6.1
6.4
6.7
2) A plane rigid rotator having a moment of Inertia I and an
electric dipole moment d is placed in a hom
Quantum Mechanics
Physics 403
Homework Assignment 13
Fine and Hyperne structure
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 6
6.14
6.18
6.21
2) The relativistic shift in the energy levels of a hydrogen atom due to the relativistic
depe
Quantum Mechanics
Physics 403
Homework Assignment 8
(Functional Spaces)
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 2
3.17
3.23
3.31
2) Let T (N ) be the set of all trigonometric functions of the form
N 1
f (x) =
[an sin(nx) + bn cos(n
Quantum Mechanics
Physics 403
Homework Assignment 4
(Harmonic Oscillators in Quantum Mechanics)
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 2
2.10
2.11
2.15
2.17
2) In quantum mechanics, by analogy with classical mechanics, a system d
Quantum Mechanics
Physics 403
Homework Assignment 3
(Time Independant Schrdinger Equation)
o
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 2
2.1
2.3
2.5
2.9
2) Show that if the potential energy V (r) can be written as a sum of functions
Quantum Mechanics
Physics 403
Homework Assignment 10
Hydrogen Wave Functions
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 4
4.10
4.11
4.13
4.16
2) Use a computer to plot out the surfaces of constant |2 for the rst four energy states
of
Quantum Mechanics
Physics 403
Homework Assignment 2
(Normalization and Expectation Values)
1) Introduction to Quantum Mechanics, Griths Chapter 1
1.12
1.13
1.14
2) (a) Calculate the expectation values of the kinetic energy and the potential energy for
Quantum Mechanics
Physics 403
Homework Assignment 6
(Step Potentials and Scattering)
1) Introduction to Quantum Mechanics 2nd ed., Griths Chapter 2
2.34
2.46
2.52
2) Consider the potential
V (x) =
,
if x < 0,
(x a), if x 0,
where a and are real positiv