CHEM 482 Spring 2017 - Problem Sets H E\[
PS #1, due Feb. 6 _.-
1. Recall from class the Planck distribution for a blackbody at a given
temperature.
a. Find the wavelength corresponding to the maximum in the Planck
distribution for a given temperature, an
October 5, 2014
482
Assignment VI
Chem
(1) Calculate the variance in position for a particle with mass m in a one-
dimensional box of length L.
(2) Derive the energy levels of a hydrogen atom usi
October 5, 2014
482
Assignment III
Chem
(1) Show that the eigenfunctions n(x) and m(x) with n m of a particle in a box of
length (0 x ) are orthogonal.
(2) Problem 7C.7 (page 313)
(3) P
Name:
UID#:
CHEM 482, Spring 2016
Dr. Elizabeth C. Griffith
University of Maryland, College Park
Exam 1 (100 points total)
You have 50 minutes for this exam. The exam consists of 6 questions (points indicated) and one
extra credit question (worth a maximu
CHEM 482 Spring 2017 Problem Sets
PS #3, due Feb. 24
1. Show that the free particle in a one-dimensional box satisfies Heisenbergs
Uncertainty Principle: ! ! ! . Does the size of the box () matter here?
2
CHEM 482 Spring 2017 Problem Sets
PS #2, due Feb. 15
1. Problem 2-1 in McQuarrie.
2. Consider the general solution to the temporal part of the classical wave equation (c1
and c2 are constants):
! = ! cos + ! s
Fundamental Constants:
Name
Avogadros number
Mass of an electron
Mass of a proton
Mass of a neutron
Faraday Constant
Gas Constant
Symbol
NA
me
mp
mn
F
R
Charge on an electron
Plancks constant
Boltzmanns
CHEM 482 Spring 2017 Problem Sets
PS #1, due Feb. 6
1. Recall from class the Planck distribution for a blackbody at a given
temperature.
a. Find the wavelength corresponding to the maximum in the Planck
distribu
CHEM 482 Spring 2017 Problem Sets
PS #4, due Mar. 17
1. Consider a quantum harmonic oscillator of mass m undergoing harmonic motion in
!
!
two dimensions x and y. The potential energy is given by , = ! ! ! +