Problems

I have hosted here the problems given on the repository of past exams. I’m in the process of adding tags so that they are more easily searchable, which hopefully helps when looking for practice problems. You can see the problems organized by their tags here. I’m still in the mid-00s when it comes to tagging, but I’m updating regularly. I hope to have it done before crunch time sets in, haha. Good luck!

M18M1 – Planetary Slingshot May 2018
M18M2 – Particle in Cone May 2018
M18M3 – Space Panels May 2018
M18E1 – Space charge May 2018
M18E2 – Mechanical Radio Station May 2018
M18E3 – Dielectric Cylinder in an Electric Field May 2018
M18Q1 – Hydrogen Molecule May 2018
M18Q2 – Flipping a spin May 2018
M18Q3 – Low-energy scattering May 2018
M18T1 – Interstitials and Vacancies May 2018
M18T2 – Brownian Motion May 2018
M18T3 – Distillation May 2018
J18M1 – Stablized Instability January 2018
J18M2 – Making Waves January 2018
J18M3 – Doomsday Scenario January 2018
J18E1 – Faraday Effect Polarizer January 2018
J18E2 – Image Problems January 2018
J18E3 – Dealing with Stress January 2018
J18Q1 – Two Hydrogen Atoms January 2018
J18Q2 – Tunneling Under A Sloping Barrier January 2018
J18Q3 – White Dwarf Star January 2018
J18T1 – Particles in a Box January 2018
J18T2 – Hawking radiation January 2018
J18T3 – Particles on a Line January 2018
M17M1 – Dark Matter May 2017
M17M2 – Falling Rod May 2017
M17M3 – Disk with Three Springs May 2017
M17E1 – Plasma Waves May 2017
M17E2 – Moving Bar Magnet May 2017
M17E3 – Spinning Cylinder May 2017
M17Q1 – Atom in a Cavity May 2017
M17Q2 – Squeezing the Harmonic Oscillator May 2017
M17Q3 – Tritium Beta Decay May 2017
M17T1 – Putting Pressure on 3-He May 2017
M17T2 – Surface Adsorption May 2017
M17T3 – Photon Condensate May 2017
J17M1 – Coupled pendulums January 2017
J17M2 – Viscous flow January 2017
J17M3 – Orbits in a cone January 2017
J17E1 – Magnetic Levitation January 2017
J17E2 – Coaxial cable January 2017
J17E3 – Waveguide transmitter January 2017
J17Q1 – Interacting spins January 2017
J17Q2 – s-wave scattering resonances January 2017
J17Q3 – Perturbed Hydrogen Atom January 2017
J17T1 – Atomic Molecular Gas January 2017
J17T2 – Liquid-Gas Critical Point January 2017
J17T3 – Protein folding January 2017
J16M1 – Rotating Crankshaft January 2016
J16M2 – Disc on Springs January 2016
J16M3 – Orbiting Beer Can January 2016
J16E1 – Conducting plane with bulge January 2016
J16E2 – Long Antenna Pattern January 2016
J16E3 – Slicing a Waveguide January 2016
J16Q1 – Perturbed Harmonic Oscillator January 2016
J16Q2 – Decay Angular Correlations January 2016
J16Q3 – Magnetic Barrier January 2016
J16T1 – String Thermodynamics January 2016
J16T2 – Ideal Gas with Funny Dispersion Relation January 2016
J16T3 – Hydrogen Recombination January 2016
M15M1 – Rolling Sphere May 2015
M15M2 – Attractive Central Force May 2015
M15M3 – Unicycle May 2015
M15E1 – Radiating Charge May 2015
M15E2 – Periodic Charge May 2015
M15E3 – Shielding May 2015
M15Q1 – Delta function potential May 2015
M15Q2 – Particle in an electric field May 2015
M15Q3 – Yukawa scattering May 2015
M15T1 – Spin trimers May 2015
M15T2 – Piston May 2015
M15T3 – Adiabatic demagnetization May 2015
J15M1 – Precession due to the sun's oblateness January 2015
J15M2 – Frequencies and normal modes January 2015
J15M3 – Rolling with and without slipping January 2015
J15E1 – Magnetic moment through a loop January 2015
J15E2 – Fresnel rhomb January 2015
J15E3 – Mass spec January 2015
J15Q1 – Helium January 2015
J15Q2 – Hydrogen transitions January 2015
J15Q3 – Arbitrary potential January 2015
J15T1 – The weather underground January 2015
J15T2 – Atmospheric Density January 2015
J15T3 – An ideal Bose gas January 2015
J14M1 – Orbiting mass January 2014
J14M2 – Precession of the Earth January 2014
J14M3 – Small Oscillations January 2014
J14E1 – Magnetized Cylinder January 2014
J14E2 – Particle on a loop January 2014
J14E3 – Wave incident on a medium January 2014
J14Q1 – Bound States January 2014
J14Q2 – Scattering from a Spherical Potential January 2014
J14Q3 – Harmonic Oscillator coupled to a spin one-half particle January 2014
J14T1 – Fluctuations of a liquid January 2014
J14T2 – Fermi gas January 2014
J14T3 – Polymers January 2014
M13Q1 – Hyperfine Structure May 2013
M13Q2 – Delta function potential May 2013
M13Q3 – Spins on a square May 2013
M13T1 – Carnot Engine May 2013
M13T2 – Graphene May 2013
M13T3 – Frustrated and Unfrustrated Magnetism May 2013
J13M1 – Coriolis Effect January 2013
J13M2 – Higgs Orbits January 2013
J13M3 – Precession of Equinoxes January 2013
J13E1 – Field Transformations January 2013
J13E2 – Radiating Fields January 2013
J13E3 – Complex Impedances January 2013
J13Q1 – Wavepackets January 2013
J13Q2 – Indistinguishable particles January 2013
J13Q3 – Distinguishable particles January 2013
J13T1 – DNA Molecule January 2013
J13T2 – Fermi gas January 2013
J13T3 – Superconducting phase transition January 2013
M12M1 – Beam on posts May 2012
M12M2 – Washer May 2012
M12M3 – Dryer May 2012
M12E1 – Cylinder in a Magnetic Field May 2012
M12E2 – Thomson Scattering May 2012
M12E3 – Bent wire loop May 2012
M12Q1 – Scattering May 2012
M12Q2 – Tritium May 2012
M12Q3 – Spin system May 2012
M12T1 – Temperature cycle May 2012
M12T2 – Heat engine May 2012
M12T3 – Ferromagnet May 2012
J12M1 – Ant on a ring January 2012
J12M2 – Paper towel roll January 2012
J12M3 – Spinning Bucket January 2012
J12E1 – Laplace's equation January 2012
J12E2 – Waves in Plasma January 2012
J12E3 – Particle above a superconductor January 2012
J12Q1 – Time-dependent perturbation theory January 2012
J12Q2 – System of two spin one-half particles January 2012
J12Q3 – Particle around a solenoid January 2012
J12T1 – Fermi gas January 2012
J12T2 – Ising model January 2012
J12T3 – Heat engine January 2012
J11M1 – Lasso January 2011
J11M2 – Rolling Coin January 2011
J11M3 – Double Pendulum January 2011
J11E1 – Coaxial Waveguide January 2011
J11E2 – Beam of charged Particles January 2011
J11E3 – Current-carrying cylinder January 2011
J11Q1 – Quantum Zeno Effect January 2011
J11Q2 – 1D Well January 2011
J11Q3 – Positronium January 2011
J11T1 – Atmosphere's Adiabatic lapse rate January 2011
J11T2 – Hydrogen's two spin isomers January 2011
J11T3 – Ice skating January 2011
M10M1 – Bead sliding on a rotating wire May 2010
M10M2 – Rope friction May 2010
M10M3 – Space hotel May 2010
M10E1 – Birefringent material May 2010
M10E2 – Square loop antenna May 2010
M10E3 – Torque produced by an AC induction motor May 2010
M10Q1 – Energy of a large atom May 2010
M10Q2 – Anharmonic Oscillator May 2010
M10Q3 – Hyperfine Splittings May 2010
M10T1 – One-dimensional model for rubber May 2010
M10T2 – Thermionic emission of electrons from a metal surface May 2010
M10T3 – Van der Waals equation May 2010
J10M1 – Rod on a Rail January 2010
J10M2 – Orbiting Mass on a String January 2010
J10M3 – Slab on Rotating Rollers January 2010
J10E1 – Oscillating Dipole Near a Conducting Plane January 2010
J10E2 – Rotating Sphere in a Magnetic Field January 2010
J10E3 – Rectangular Waveguide January 2010
J10Q1 – Harmonic Oscillator January 2010
J10Q2 – Angular Momentum January 2010
J10Q3 – Spin-Dependent Scattering January 2010
J10T1 – Graphene January 2010
J10T2 – Maxwell-Boltzmann Gas January 2010
J10T3 – Thermodynamics of Superconductors January 2010
M09M1 – Bubble in an Incompressible Fluid May 2009
M09M2 – Shape of a Suspended Rope May 2009
M09M3 – Automobile Crankshaft May 2009
M09E1 – Cavity Dynamics May 2009
M09E2 – Pulsar May 2009
M09E3 – Charge and Conducting Sphere May 2009
M09Q1 – Hydrogen Beam May 2009
M09Q2 – Dynamics of Spin one-half Particles May 2009
M09Q3 – Pion-Atom Scattering May 2009
M09T1 – Ideal Gas in an Electric Field May 2009
M09T2 – Particles on a Line May 2009
M09T3 – 2D and 3D Bosons May 2009
J09M1 – Coupled Pendula January 2009
J09M2 – Minimizing Drag January 2009
J09M3 – Falling Rod January 2009
J09E1 – Motion in EM Fields January 2009
J09E2 – Ion Source January 2009
J09E3 – Magnetic Pressure January 2009
J09Q1 – Dressed States and Rabi Oscillation January 2009
J09Q2 – Scattering an Electron from a Step in the magnetic field January 2009
J09Q3 – Trapping Atoms in an Optical Lattice January 2009
J09T1 – The Partition Function January 2009
J09T2 – Defects in a Lattice January 2009
J09T3 – Errors in Gene Expression January 2009
M08M1 – Bead on a Hoop May 2008
M08M2 – Springs and Blocks May 2008
M08M3 – Gravitational Capture of Dark Matter Particles May 2008
M08E1 – Wiggler May 2008
M08E2 – Accelerating Point Charge May 2008
M08E3 – Electromagnet with an Iron Core May 2008
M08Q1 – Delta Function Potential May 2008
M08Q2 – Ladder Operators May 2008
M08Q3 – Dynamics of Spin May 2008
M08T1 – Brownian Motion May 2008
M08T2 – van der Waals Gas May 2008
M08T3 – Electrons Escaping Metal May 2008
J08M1 – Pendulum on a Sled January 2008
J08M2 – Sphere in a Pipe January 2008
J08M3 – Fluid Flow January 2008
J08E1 – Radiation from an Antenna January 2008
J08E2 – Rotating Disk in a Magnet January 2008
J08E3 – Parallel Plate Diode January 2008
J08Q1 – Deuteron January 2008
J08Q2 – Spin in a Magnetic Field January 2008
J08Q3 – Photoelectric Effect January 2008
J08T1 – Graphene January 2008
J08T2 – Spin Gas January 2008
J08T3 – Motion of a Bead January 2008
M07M1 – Planetary Orbits May 2007
M07M2 – Particle in an Ellipsoid May 2007
M07M3 – Mass on a Massive String May 2007
M07E1 – Point Charge an Conducting Sphere May 2007
M07E2 – Noise in a Circular Ring May 2007
M07E3 – Plane Wave in a Conductor May 2007
M07Q1 – Quantum Virial Theorem May 2007
M07Q2 – Scattering May 2007
M07Q3 – Delta Function in a Box May 2007
M07T1 – Pions May 2007
M07T2 – Soap Film May 2007
M07T3 – 3D Ising Model May 2007
J07M1 – Ball on a Turntable January 2007
J07M2 – Inverted T Pendulum January 2007
J07M3 – Bubble in an Incompressible Fluid January 2007
J07E1 – Point Charge and Conducting Sphere January 2007
J07E2 – Rotating Shell of Charge January 2007
J07E3 – Negative Dielectric Constant January 2007
J07Q1 – Excitation from a Delta Function Potential January 2007
J07Q2 – Effective Mass January 2007
J07Q3 – Triangular Molecule January 2007
J07T1 – Dilute Ionized Hydrogen January 2007
J07T2 – Diatomic Gas in an Electric Field January 2007
J07T3 – Spin Waves January 2007
M06M1 – Point Mass in a Sphere May 2006
M06M2 – Huygens’ Pendulum May 2006
M06M3 – Hanging Spring May 2006
M06E1 – Metal Sphere in a Uniform Electric Field May 2006
M06E2 – Superconducting Loop May 2006
M06E3 – Radiation from a Falling Electron May 2006
M06Q1 – One-dimensional Wave Function May 2006
M06Q2 – EPR Beam Splitter May 2006
M06Q3 – Two Interacting Particles May 2006
M06T1 – Interacting Particles on a Line May 2006
M06T2 – Diatomic Gas in an Electric Field May 2006
M06T3 – Boson Surface Absorption May 2006
J06M1 – Gyroscope January 2006
J06M2 – Displaced Circular Orbit January 2006
J06M3 – Bead on a Rotating Wire January 2006
J06E1 – Dielectric Cylinder in an Electric Field January 2006
J06E2 – Half Rings of Magnetic Material January 2006
J06E3 – Harmonic Oscillator Radiation January 2006
J06Q1 – Position and Momentum January 2006
J06Q2 – Two Indistinguishable Bosons January 2006
J06Q3 – Magnetic Resonance January 2006
J06T1 – Bose Einstein Condensation January 2006
J06T2 – Liquid-Gas Phase Transition January 2006
J06T3 – DNA Molecule January 2006
M05M1 – Vibration Damping With a Piston May 2005
M05M2 – Suspension Bridge Shape May 2005
M05M3 – Satellite Orientation May 2005
M05E1 – Periodic Surface Charge and Magnetization May 2005
M05E2 – Coaxial Cable Motion May 2005
M05E3 – Electron Orbit Decay May 2005
M05Q1 – Hydrogen Atom in an Electric Field May 2005
M05Q2 – Delta Function Potential May 2005
M05Q3 – Nitrogen and Explosive May 2005
M05T1 – Thermodynamics of Solid Argon May 2005
M05T2 – Defects in a Cubic Crystal May 2005
M05T3 – Surface Waves and Heat Capacity May 2005
J05M1 – Rope Around a Cylinder January 2005
J05M2 – Planet Moving Through Dust Cloud January 2005
J05M3 – Waves in a Series of Pendula January 2005
J05E1 – Spherical Half-Filled Capacitor January 2005
J05E2 – Light Incident on a Medium January 2005
J05E3 – Dielectric Sphere in a Laser Beam January 2005
J05Q1 – Fermion Entanglemen January 2005
J05Q2 – Charged Particle on a Ring January 2005
J05Q3 – Heavy Particle Passing a Hydrogen Atom January 2005
J05T1 – Polymer Chain January 2005
J05T2 – Bose Einstein Condensation January 2005
J05T3 – Thermodynamic Variables January 2005
M04M1 – Particles on a Line May 2004
M04M2 – Coupled Pendula May 2004
M04M3 – Panels in Space May 2004
M04E1 – Conducting Sphere Coated with Dielectric May 2004
M04E2 – Classical Radiation from a Hydrogen Atom May 2004
M04E3 – Penny Thrown into a Solenoid May 2004
M04Q1 – Hydrogen Molecule May 2004
M04Q2 – Positronium in a Magnetic Field May 2004
M04Q3 – Scattering from a Cube Potential May 2004
M04T1 – Equations of State May 2004
M04T2 – Surface Waves and Heat Capacity May 2004
M04T3 – Binary Mixture of Atoms May 2004
J04M1 – Bead on a Wire January 2004
J04M2 – Power Law Central Force January 2004
J04M3 – Falling Stick January 2004
J04E1 – Rotating Cylindrical Capacitor January 2004
J04E2 – Mass Spectrometer January 2004
J04E3 – Thomson Scattering January 2004
J04Q1 – Arbitrary Potential January 2004
J04Q2 – Boosted Wave Function January 2004
J04Q3 – Spin in a Magnetic Field January 2004
J04T1 – Non-interacting Spins January 2004
J04T2 – Fermionic Gas January 2004
J04T3 – DNA as a Polymer Chain January 2004
M03M1 – Lagrange points and WMAP May 2003
M03M2 – Rolling Sphere May 2003
M03M3 – Helmholtz Resonator May 2003
M03E1 – Force Between Current Carrying Wires May 2003
M03E2 – The Method of Images May 2003
M03E3 – Electromagnetic Wave in a Plasma May 2003
M03Q1 – Flipping Spins With a Magnetic Field May 2003
M03Q2 – Scattering From a Central Potential May 2003
M03Q3 – Addition of Angular Momentum May 2003
M03T1 – Thermodynamics of an Elastic String May 2003
M03T2 – White Dwarf Star May 2003
M03T3 – Particles in a Box May 2003
J03M1 – Scattering from an Attractive Potential January 2003
J03M2 – Disk with Three Springs January 2003
J03M3 – Orbits in a Central Potential January 2003
J03E1 – Waves in Aluminum January 2003
J03E2 – Image Charges January 2003
J03E3 – Rotating Charged Rod January 2003
J03Q1 – Central Potential Scattering January 2003
J03Q2 – Hydrogen Atom Transitions January 2003
J03Q3 – Nuclear Alpha Decay January 2003
J03T1 – Container of Gases January 2003
J03T2 – Krypton Molecule Formation January 2003
J03T3 – Spin Gas in a Magnetic Field January 2003
M02M1 – Particle in a Cone May 2002
M02M2 – Mass on a String May 2002
M02M3 – The Coriolis Effect May 2002
M02E1 – Iron Ring with a Gap May 2002
M02E2 – Dielectric Cylinder in an Electric Field May 2002
M02E3 – Current in a Cylindrical Wire May 2002
M02Q1 – Driven Harmonic Oscillator May 2002
M02Q2 – Three Particles on a Ring May 2002
M02Q3 – Scattering From a Magnetic Barrier May 2002
M02T1 – Dilute Gas in Gravity May 2002
M02T2 – Hydrogen Formation May 2002
M02T3 – Pauling’s Ice Rule May 2002
J02M1 – Flapping Toy January 2002
J02M2 – Slingshot Orbit January 2002
J02M3 – Stretching Cable January 2002
J02E1 – Coaxial Transmission Line January 2002
J02E2 – Rotating Dielectric Cylinder January 2002
J02E3 – Levitating Frog January 2002
J02Q1 – Particle in a Spherically Symmetric Potential January 2002
J02Q2 – Wave Functions and Coordinate Frames January 2002
J02Q3 – Interacting Particles on a Line January 2002
J02T1 – Joule-Thomson Process January 2002
J02T2 – Neutrons in a Magnetic Field January 2002
J02T3 – Ensemble of Harmonic Oscillators January 2002
M01M1 – Massive Spring May 2001
M01M2 – Particle in an Anharmonic Potential May 2001
M01M3 – Particle in Gravitational and Magnetic Fields May 2001
M01E1 – Non-parallel Plate Capacitor May 2001
M01E2 – Radio Waves in a Gas of Charged Particles May 2001
M01E3 – Charged Rotating Cylindrical Shells May 2001
M01Q1 – The Berry Phase May 2001
M01Q2 – Two Hydrogen Atoms May 2001
M01Q3 – Transmission Through a Grid May 2001
M01T1 – Measuring Fundamental Constants May 2001
M01T2 – Polymer Chain May 2001
M01T3 – Electron Gas in a Magnetic Field May 2001
J01M1 – Particle on a Torus January 2001
J01M2 – Free Precession of a Planet - 1 January 2001
J01M3 – Free Precession of a Planet - 2 January 2001
J01E1 – Resistance Between Two Points on a Disk January 2001
J01E2 – Betatron January 2001
J01E3 – Electromagnetic Wave on a Slab of Dielectric January 2001
J01Q1 – Excitation of a Harmonic Oscillator January 2001
J01Q2 – Scattering From Two Delta-function Potentials January 2001
J01Q3 – Spin in a Magnetic Field January 2001
J01T1 – Containers of Ideal Gas January 2001
J01T2 – Solution of Biomolecules January 2001
J01T3 – Triangular Chain Ising Model January 2001
M00M1 – Precession of the Perihelion May 2000
M00M2 – Ladder on a Wall May 2000
M00M3 – Bead on a Hoop May 2000
M00E1 – Emitted Flux Density May 2000
M00E2 – Particle Above a Conducting Plane May 2000
M00E3 – Toroidal Solenoids May 2000
M00Q1 – Harmonic Oscillator in a Magnetic Field May 2000
M00Q2 – Hyperfine Structure May 2000
M00Q3 – Emission of Alpha Particles May 2000
M00T1 – Distillation May 2000
M00T2 – Brownian Motion May 2000
M00T3 – Defects in a Crystal May 2000
J00M1 – Shape of an Arch January 2000
J00M2 – Linked Rods Falling January 2000
J00M3 – Orbiting Mass on a String January 2000
J00E1 – A Two-Wire Transmission Line January 2000
J00E2 – Pitching Pennies into a Magnet January 2000
J00E3 – A Phased Antenna Array January 2000
J00Q1 – Scattering From a Central Potential January 2000
J00Q2 – Two Interacting Particles January 2000
J00Q3 – Electron on a Ring January 2000
J00T1 – Ideal Gas In a Magnetic Field January 2000
J00T2 – Masses on a Piston of Gas January 2000
J00T3 – Bose-Einstein Condensation by Evaporation January 2000
M99M1 – Ball Rolling in a Cylinder May 1999
M99M2 – Two Repulsive Particles May 1999
M99M3 – Drum Head May 1999
M99E1 – Radiation from a Rotating Sphere May 1999
M99E2 – 5-Spoke Wheel May 1999
M99E3 – Dielectric Cylinder May 1999
M99Q1 – Interacting Magnetic Dipoles May 1999
M99Q2 – Excited States of Helium May 1999
M99Q3 – Beam Me Up, Charlie May 1999
M99T1 – The Otto Cycle May 1999
M99T2 – Polymer Chain May 1999
M99T3 – Surface Waves May 1999
J99M1 – Rolling Disk January 1999
J99M2 – Particle Rolling on a Hyperboloid January 1999
J99M3 – Rod Orbiting the Sun January 1999
J99E1 – Charged Particle Trap January 1999
J99E2 – Transverse Momentum from an Electromagnetic Wave January 1999
J99E3 – Magnetic Field at a Pulsar January 1999
J99Q1 – Hydrogen Molecule January 1999
J99Q2 – Spins on a Square January 1999
J99Q3 – Electron Transition out of a Square Well January 1999
J99T1 – Weirdons January 1999
J99T2 – Maxwell Construction January 1999
J99T3 – Ice Making Machine January 1999
M98M1 – Mass on a Rope and Cylinder May 1998
M98M2 – Masses Connected by a Spring May 1998
M98M3 – Fluid Dynamics May 1998
M98E1 – Field of a Wire May 1998
M98E2 – Cylindrical Magnet and a Steel Sheet May 1998
M98E3 – Magnetic Field of the Earth May 1998
M98Q1 – Two Interacting Particles May 1998
M98Q2 – Scattering From a Spherical Potential May 1998
M98Q3 – Variational Principle May 1998
M98T1 – Carnot Engine May 1998
M98T2 – Helium Atoms in a Box May 1998
M98T3 – Anharmonic Oscillator May 1998
J98M1 – Hanging Rope January 1998
J98M2 – Pucks on a Spring January 1998
J98M3 – Ice Skate January 1998
J98E1 – Electromagnetic Wave Incident on a Lossy Dielectric January 1998
J98E2 – Rotating Charged Rod January 1998
J98E3 – Conducting Hemispheres January 1998
J98Q1 – Parity Violation January 1998
J98Q2 – Two Delta-function Potential January 1998
J98Q3 – Hyperfine Structure January 1998
J98T1 – Quark-Antiquark Pairs January 1998
J98T2 – Cooling Liquid Helium January 1998
J98T3 – Spins in a Magnetic Field January 1998