PHYS 322
Exercise Set #7
Solutions
1
1. Consider a 3 P1 3 D2 transition in an atom which is placed in a weak magnetic eld. Determine the Land g-factor for the splitting of each state. Draw an energy level e diagram showing the allowed transitions. Sketch
PHYS 322 Waves and Quantum Theory Homework set #2 Due April 11 1. Derive an expression for the intensity of an interference pattern due to light coming from four equally spaced slits. This will be a function the slit spacing d and of the angle from the ax
PHYS 322
Homework Set #6 Due May 3 1. Verify that the parity of the one-electron eigenfunctions 300 , 310 , 320 , and 322 , is determined by (1) . These wavefunctions are listed here. The As are just normalization constants, and ao is the rst Bohr radius.
PHYS 322
Exercise Set #11
Solution
1
We have examined the one-dimensional Kronig-Penny model for electrons travelling in a one-dimensional lattice of square well potentials. We nd that for very narrow, deep wells, P sin a + cos a = cos ka a (1)
Here, P =
PHYS 322 Problem set #1 (Review Problems) SOLUTIONS 1. Consider a particle in the lowest energy state of a quantum mechanical simple harmonic oscillator. Determine the probability of nding the particle within the classical limits of motion. The solution i
PHYS 322 Homework #3
Solution 1. (There is no single solution to this one.) 2. The shells of multielectron atoms are, by convention, labelled K, L, M, etc. Principle quantum number n = 1 for electrons in the K shell, n = 2 for the L shell, etc. The K-seri
PHYS 322
Homework Set #5 Due April 28 1. (Review problem.) The radial wavefunction of a hydrogen electron in a 2s orbital is R20 (r) = where ao is the rst Bohr radius. (A) Use a spreadsheet to accurately plot the probability density as a function of r. Us
PHYS 322
Exercise Set #12
236
Solutions U:
1
1. Complete the reaction given here, involving the fission of
235
U 92 +1 n0 -90 Sr 38 + ? + 2 1n 0
We know that the number of protons in the unknown must be 92 - 38 = 54, so the element is xenon. It's atomic m
PHYS 322 Problem set #9 SOLUTION
In deriving the Boltzmann distribution, we consider a system in contact with a heat reservoir and look at the total number of distinguishable divisions of energy, g(U ). Suppose there are two systems S1 and S2 , in thermal
PHYS 322 Problem set #4 SOLUTIONS 1. Monochromatic green light of wavelength 550 nm illuminates two parallel narrow slits 7.70 m apart. Calculate the angular deviation of the third-order bright fringe, in degrees. We just use the expression for two-slit i
PHYS 322
Exercise Set #10
Solutions
1
1. Suppose N distinguishable atoms are distributed over two energy levels, E1 = 0 and E2 = . (A) Show that the energy of the system is given by ES = N e/kT 1 + e/kT
(B) Show that the specic heat due to the system is C
A19. in a ssion reactor. the purpose of the moderator is to
(A) absorb neutrons and hence slow the reaction down.
D (B) 01!le energy to the turbines that generate the electricity.
(C) prevent radioactive material from contaminating the fuel rods.
increase