Key Signatures
http:/www.musictheory.net/lessons/24
Key Signatures
A key signature is a collection of every accidental found in a scale.
To demonstrate this, we will use the key of C Minor, which has three flats.
Instead of writing a flat next to every E,
Boltzmann/Saha Equation Problems/Questions
March 4, 2011
Boltzmann Equation: Describes how energy levels within atoms are populated.look
at one individual atom, electron may be jumping around but consider atoms as a statistical
ensemble (all at once). The
Boltmann/Saha Equation Examples
March 4, 2011
Boltzmann Equation: Describes how energy levels within atoms are populated.look
at one individual atom, electron may be jumping around but consider atoms as a statistical
ensemble (all at once) and they follow
Ast 228, Problem Set 5 - Solutions
1. Hydrostatic Equilibrium
a) (5 points) The equation of Hydrostatic equilibrium describes the balance between
pressure and gravity. The dierential term represents a pressure gradient as a function of
radius - in other w
Ast 229, Problem Set 2 Solutions
Problem 1: The Bohr Atom
A) Use the Balmer formula (RP eq 5.23 or eq 5.21 in eV) to determine the wavelengths and
the energies of the transitions. Alternatively you can use E=hc/ to determine the energies.
The possible tra
Ast 228, Problem Set 2 Solutions
Feb 23, 2011
Problem 1:
Overall Strategy as discussed in class: Solve this problem by considering the disk to be
composed of thin concentric rings each of mass dM that exerts a force dF on mass m. Set
up the equation for d
Ast 228 Spring 2011, Problem Set 1 Solutions
Problem 1: Consider a body of mass m, moving in a circular orbit, subject to
a central attractive force whose magnitude is given by F(r)=h/r5 , where h is
a constant: a) What are the dimensions of h? b) Derive
Ast 228, Problem Set 7 - Due Wednesday April 27 (If
you want it back before the exam) OR Friday April 29
1. Sizes of Black Holes (4 points)
Although a black hole is by denition a singularity, the size of a black hole can be
characterized by its Schwarzsch
Ast 228 Problem Set 6, Due Friday April 15, 2010
1. Show that the gravitational potential energy of a sphere of radius R, mass M, and constant
mass density is
3 GM 2
U =
5R
Hint: Begin with the general statement for gravitational potential energy for a sh
Ast 228, Problem Set 5 (Stellar Structure)
Due FRIDAY April 8, 2011
1. Hydrostatic Equilibrium The equation of Hydrostatic equilibrium states
GMr (r)
dP
=
dr
r2
a) (5 points) In one paragraph, explain how this dierential equation relates to stellar
struct
Ast 228, Homework 4 - Due Wednesday March 30
1. Find the problems (or parts of problems) from the midterm on which you lost points.
a) State your original answer and write a few sentences describing what you were thinking at the
time and why it was wrong
AST 228 Problem Set 3 - Due Monday March 7*
*Option: Due Friday March 4 if you would like this back before 3/9
1. In class we derived an expression for the energies and wavelengths of atomic transitions using
the Bohr model and quantization of energy (ref
AST 228 Problem Set 2 - Due Wednesday Feb. 23, 2011
1. Consider problem #3 from HW 1/Preclass #2: Calculate the gravitational force that a thin disk
exerts on a point mass m at a distance z along the axis perpendicular to the center of the disk.
Assume a
AST 228 Problem Set 1 - Due Wednesday Feb. 12, 2011
1. Consider a body of mass m, moving in a circular orbit, subject to a central attractive force
whose magnitude is given by F(r)=h/r5 , where h is a constant.
a) What are the dimensions of h?
b) Derive t
Astronomy 2/14
2/14/2008 11:36:00 AM
Br. Guy's Lecture How we know our solar system's planets were created at the same time Their orbits are the same Made of same materials The mass of each planet spread into a ring of dust results in the highest d
Astronomy Quiz 4 Study Guide
4/2/2008 11:31:00 AM
1. What are some of the similarities between Earth and Venus? Venus is the same size, composition and density of Earth 2. What is it about the pressure and temperature on the surface of Venus caused
Astronomy Quiz 2 Study Guide
2/27/2008 5:18:00 PM
Why are asteroids and meteorites useful in helping us understand what happened 4.576 million years ago? Asteroids and meteorites are left over from planet building, so we can study them to understan