UVa Physics Qualifying Exam

==The University of Virginia Physics PHd Qualifying Exam==
All UVa physics PHd candidates must pass the UVa physics qualifier (qual) in order to continue on to receive a PHd. The qualifier covers four basic areas of physics;
#Classical Mechanics
#Thermodynamics & Statistical Mechanics
#Electricity & Magnetism
#Quantum Mechanics.
The last two sections are the major sections and are given twice as much weight as the first two. 
==Schedule== 
Traditionally, the qual has been offered at the beginning of the fourth semester (January) after having completed the required course work and again near the end of the fourth semester(April) for those students that did not pass the first time. For 2007 and later the qualifier has been restructured. It is intended that the qualifier will now be administered after the second semester (May) and again before the start of the third semester (August) as a last chance. As part of the transition, the exam will be offered three times during 2007; January, May, and August. The test is split over two days with one day covering Classical and E&M, the other covering Stat. Mech. and Quantum. Each testing day consists of six questions (two from the minor section and four from the major section) and four hours are given to solve the questions.
==Problems and Solutions==
===Classical Mechanics===
assstupid 
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Cubic pendulum
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Space station orbit
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Rotating tube
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===Statistical Mechanics===
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Entropy, work, and Helmholtz free energy
Grand Canonical Partition function
Ferromagnet
Bose-Einstein Condensation temperature
Landau quantization
Stirling cycle
Spin 1/2 particles in magnetic field
Ideal gas of massless Bosons
Phase equilibrium and Clausius-Clapeyron equation
Adiabatic expansion, Carnot Cycle
Ensemble of spins in B-field
P-V curve
Compression of ideal gas
Heat Capacity of ideal gas
Blackbody radiation
Gas leaking through a small hole
Neutron star
Free energies for mass on elastic thread
Centrifuge
Ionized gas
Entropy of mixing
Joule-Thompson effect
Isothermal compression
Equipartition of energy
Max work from cooling
Two connected systems
Relation between Cp and Cv
Blackbody radiation
Two gases mixing
Joule-Kelvin (Thompson) coefficient
Adiabatic expansion, isothermal compression
Gibbs free energy and entropy of monatomic gas
Enthalpy from equation of state and heat capacity
Expansion of saturated vapor
System of 2-state particles
Internal energy, constant number of particles
Partition function and distribution function
Adiabatic and isothermal nonsense
Crazy heat engine
Two gases in separate containers
 
===Electricity and Magnetism===
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Meissner effect in super conducting sphere
Atomic spectral line
Cylindrical capacitor in liquid dielectric
Circular polarized light incident o bound electron
Rectangular waveguide
Two rotating charged spheres
Potential inside a box
Index of refraction of the ionosphere
Cerenkov radiation
Charge subjected to a wave described by vector potential
Rectangular current loop
Cylinder carrying current I
Radiating particle in two inertial frames
B-field and E-field in lab frame from moving frame
Energy flux conservation in resistor
Potential of dielectric sphere
Skin depth
Spherical cavity in a conductor
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===Quantum Mechanics===
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Stark effect for hydrogen atom
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Two electrons confined to a circle
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Category:reflection,refraction &difraction.