Physics GRE Problems and Formulas Sorted by Topics

CLASSICAL MECHANICS — 20% 

PGRE1777(1,2,3,17,18,19,46,47,48,49,64,65,66,67,79,80,87,88,89,90,97)
PGRE9677(5,6,7,8,20,21,22,23,30,31,32,44,65,66,68,84,92,93) 
PGRE9277(4,5,6,7,8,19,40,41,42,43,44,45,61,66,74,78,82,87,93,100) 
PGRE8677(1,2,4,5,6,7,8,34,35,36,37,43,44,60,61,62,75,76,77,93,97) 
PGRE0177(1,2,3,4,22,23,24,25,26,54,55,56,57,72,73,74,75,89,90,91,92) 

Kinematics

Newton’s laws  

Work and Energy  

Oscillatory Motion  

Rotational motion about a fixed axis  

dynamics of systems of particles  

central forces and celestial mechanics  

three-dimensional particle dynamics  

Lagrangian and Hamiltonian formalism  

Non inertial reference frames 

elementary topics in fluid dynamics 

  1. ELECTROMAGNETISM — 18% 

PGRE1777(4,5,6,20,21,37,38,39,40,68,69,76,77,78,94,95,96) 
PGRE9677(1,2,3,4,24,25,26,28,43,45,46,47,49,54,55,61,62,69,70,71,86,87,88,89)
PGRE9277(9,10,11,12,13,18,32,33,34,36,39,54,55,57,60,64,65,81,83,84,86,88,92) 
PGRE8677(9,10,11,22,24,25,29,38,39,52,53,54,63,64,65,78,79,80,81,86,94,98) 
PGRE0177(7,8,9,10,38,39,40,41,42,58,59,60,61,62,85,86,87,88,95,96) 

electrostatics  

currents and DC circuits  

magnetic fields in free space  

Lorentz force  

induction  

Maxwell’s equations and their applications  

electromagnetic waves  

AC circuits  

magnetic and electric fields in matter 

  1. OPTICS AND WAVE PHENOMENA — 9% 

PGRE1777(15,16,30,31,32,50,51,52,81,82) 
PGRE9677(56,57,58,82)
PGRE9277(20,21,22,35,67,68,69,79) 
PGRE8677(13,58,73,74,100) 
PGRE0177(11,12,13,51,69,70,96,97,100) 

properties  

superposition  

interference  

diffraction  

geometrical optics  

polarization  

Doppler effect 

  1. THERMODYNAMICS AND STATISTICAL MECHANICS — 10% 

PGRE1777(7,8,9,28,29,56,57,58,91) 
PGRE9677(13,14,15,16,73,74,75,79,91,94,95)
PGRE9277(14,15,16,23,46,47,62,63,71,72,73) 
PGRE8677(14,15,46,51,55,66,67,87,88,95) 
PGRE0177(5,6,35,36,37,47,48,49,63,65,76,77,98) 

the laws of thermodynamics  

thermodynamic processes  

equations of state  

ideal gases  

kinetic theory  

ensembles  

statistical concepts and calculation of thermodynamic quantities  

thermal expansion and heat transfer 

  1. QUANTUM MECHANICS — 12% 

PGRE1777(12,13,25,26,43,44,45,61,62,63,70,71,92,99) 
PGRE9677(17,18,29,33,35,39,41,42,51,52,59,76,77,97,98,99,100)
PGRE9277(1,27,28,29,50,51,52,53,56,89,90,98,99) 
PGRE8677(18,19,28,49,56,57,89,90,92,96) 
PGRE0177(27,28,29,30,43,44,45,46,81,82,83,93,94) 

fundamental concepts  

solutions of the Schrödinger equation  

(including square wells  

harmonic oscillators  

and hydrogenic atoms)  

spin  

angular momentum  

wave function symmetry  

elementary perturbation theory 

  1. ATOMIC PHYSICS — 10% 

PGRE1777(22,23,24) 

properties of electrons  

Bohr model  

energy quantization  

atomic structure  

atomic spectra  

selection rules  

black-body radiation  

x-rays  

atoms in electric and magnetic fields 

  1. SPECIAL RELATIVITY — 6% 

PGRE1777(34,35,36,53,84,85,93) 
PGRE9677(36,37,38,48,49,50,60,67) 
PGRE9277(37,38,70,85,94,96,97) 
PGRE8677(3,20,21,22,68,69,70,71,72) 
PGRE0177(32,33,34,71,79,80,99) 

introductory concepts  

time dilation  

length contraction  

simultaneity  

energy and momentum  

four-vectors and Lorentz transformation  

velocity addition 

  1. LABORATORY METHODS — 6% 

PGRE1777(14,42,54) 

data and error analysis  

electronics  

instrumentation  

radiation detection  

counting statistics  

interaction of charged particles with matter  

lasers and optical interferometers  

dimensional analysis  

fundamental applications of probability and statistics 

  1. SPECIALIZED TOPICS — 9% 

PGRE1777(10,27,33,55,59,60,72,73,74,75,83,86,98) 

Condensed matter 

PGRE9677(78) 
PGRE8677(23,51) 
PGRE0177(5253) 
PGRE9277(97) 

Nuclear and Particle Physics 

PGRE9677(9,10,11,12,19,34,40,42,53,63,64) 
PGRE9277(23,24,25,26,30,31,49,58,59,75,76,77,80,90,95) 
PGRE8677(1619262730313233404142454748828384859199) 
PGRE0177(1417181920213164666768788491) 

Nuclear and Particle physics  

(e.g., nuclear properties  

radioactive decay  

fission and fusion  

reactions  

fundamental properties of elementary particles)  

Condensed Matter  

(e.g., crystal structure  

x-ray diffraction  

thermal properties  

electron theory of metals  

semiconductors  

superconductors)  

Miscellaneous  

(e.g., astrophysics  

mathematical methods  

computer applications) 

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