University Physics III
Skills
Every skill in the course, and how you are doing on each.
Oscillations, damping, and resonance
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Angular frequency
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Si units
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Initial phase
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Maximum speed
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Effective stiffness
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Energy conservation
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Initial conditions
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Rotational inertia
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Quality factor
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Initial value problem
132 more topics with one problem
- Restoring direction
- Shm acceleration
- Mass spring period
- Period
- Simple pendulum
- Cosine form
- Release from rest
- Energy partition
- Shm energy
- Spring potential
- Equilibrium crossing
- Shm kinematics
- Oscillation period
- Parallel springs
- Absolute cosine
- Periodic not shm
- Smoothness test
- Frequency hertz
- Newton second law
- Restoring force
- Mass inference
- Period measurement
- Spring oscillator
- Length inference
- Pendulum timing
- Period average
- Energy fractions
- Half amplitude
- Quadratic potential
- Shm speed
- Turning amplitude
- Amplitude recovery
- Phase quadrant
- Initial velocity
- Launch at equilibrium
- Sine solution
- Equilibrium shift
- Gravity cancellation
- Vertical spring
- Physical pendulum
- Uniform rod
- Angular period
- Torsional oscillator
- Damped frequency
- Decay constant
- Underdamped motion
- Amplitude half life
- Energy envelope
- Exponential decay
- Light damping
- Resonance width
- Driven oscillator
- Steady amplitude
- Viscous damping
- Damping shift
- Existence condition
- Resonance frequency
- Shm ODE
- Solution verification
- Damping contrast
- Shm proof
- Pendulum torque
- Small angle error
- Taylor estimate
- Force superposition
- Opposed springs
- Effective inertia
- Rolling oscillator
- Small angle motion
- Phasor addition
- Resultant phase
- Same frequency
- Beats
- Envelope frequency
- Trigonometric superposition
- Damped envelope
- Energy decay
- Exponential law
- Critical damping
- Damping classification
- Viscous coefficient
- Exponential modes
- Overdamped roots
- Driven response
- Phase lag
- Quadrant choice
- Average power
- Steady state balance
- Viscous dissipation
- Inertial limit
- Quasistatic motion
- Response limits
- Amplitude dependent period
- Duffing oscillator
- Hardening spring
- Parametric resonance
- Principal instability
- Time varying stiffness
- Damping inference
- Logarithmic decrement
- Peak envelope
- Damped period
- Parameter recovery
- Ringdown inference
- Half power bandwidth
- Resonance data
- Critical response
- Repeated root
- Driven initial value
- Steady state
- Transient response
- Coupled oscillators
- Eigenfrequencies
- Normal modes
- Antiresonance
- Coupled response
- Dynamic absorber
- Accelerating frame
- Effective gravity
- Pendulum period
- Green function
- Impulse response
- Velocity jump
- Duffing frequency
- Harmonic balance
- Weak nonlinearity
- Energy integral
- Nonlinear pendulum
- Period expansion
- Coupled modes
- Generalized eigenproblem
- Unequal masses
Mechanical waves and superposition
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Frequency wavelength
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Linear density
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Path difference
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Fixed string
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Closed open pipe
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Medium frame
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Boundary matching
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Equipartition
131 more topics with one problem
- Wave speed
- Phase speed
- Propagation direction
- Traveling wave phase
- Wave parameters
- Wavenumber
- String wave speed
- Tension
- Phase difference
- Spatial separation
- Wavelength
- Amplitude squared
- Scaling law
- Wave power
- Boundary condition
- Phase inversion
- Pulse reflection
- Linear medium
- Pulse superposition
- Signed displacement
- Particle velocity
- Phase evaluation
- Wave acceleration
- Positive direction
- Wave equation construction
- String speed
- Tension inference
- Pulse travel time
- Tension recovery
- Amplitude conversion
- String wave power
- Inverse square
- Sound intensity
- Spherical spreading
- Decibel scale
- Intensity ratio
- Logarithms
- Coherent sources
- Interference condition
- Antinode location
- Node spacing
- Standing wave
- Fundamental frequency
- String tension
- Acoustic harmonics
- Boundary antinodes
- Open pipe
- Acoustic boundaries
- Odd harmonics
- Beat frequency
- Frequency inference
- Higher source
- Doppler observer
- Moving receiver
- Sound speed
- Compressed wavelength
- Doppler source
- Moving emitter
- Approaching motion
- Doppler combined
- Fixed end reflection
- Path length
- Pulse return time
- Amplitude reflection
- String junction
- Traveling string wave
- Wave energy density
- Chain rule
- Translated profile
- Wave equation
- Net power
- Opposite travelers
- Standing wave derivation
- Frequency ratio
- String harmonics
- Tension scaling
- Closed pipe
- Resonance spacing
- Sound speed inference
- Geometric wavefront
- Mach cone
- Supersonic motion
- Dispersion relation
- Group velocity
- Phase velocity
- Carrier envelope
- Finite difference group speed
- Wave packet
- Coherent interference
- Path phase
- Source phase
- Initial shape
- Normal mode superposition
- Discrete normal modes
- Finite chain
- Mode shapes
- Acoustic intensity
- Particle displacement
- Sound pressure
- Local wave speed
- Nonuniform string
- Travel time integral
- Gaussian packet
- Space wavenumber width
- Spectral bandwidth
- Power transmission
- String impedance
- Boundary value
- Driven string
- String resonance
- Lattice dispersion
- Long wavelength limit
- Monatomic chain
- Band edge
- Lattice group velocity
- Acoustic nodes
- Pressure displacement
- Acoustic impedance
- Intensity transmission
- Normal incidence
- Doppler trap
- Sound in wind
- Interference intensity
- Phasor sum
- Unequal amplitude
- Continuum limit
- Discrete chain
- Dispersion correction
- Boundary limits
- Mass loaded string
- Transcendental modes
Geometric and wave optics
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Small angle
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Plane mirror
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Virtual image
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Snell law
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Total internal reflection
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Real image
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Double slit
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Fringe spacing
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Malus law
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Sign convention
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Intermediate image
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Minimum deviation
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Rayleigh criterion
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Angular magnification
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Exit pupil
115 more topics with one problem
- Mirror magnification
- Frequency invariance
- Medium wavelength
- Refractive index
- Normal angle
- Refraction angle
- Critical angle
- Lateral magnification
- Thin lens equation
- Concave mirror
- Mirror equation
- Analyzer angle
- Linear polarization
- Apparent depth
- Paraxial refraction
- Numerical aperture
- Optical fiber
- Converging lens
- Image height
- Diverging lens
- Lens sign convention
- Total magnification
- Two lens system
- Convex mirror
- Image classification
- Minimum mirror height
- Ray geometry
- Prism refraction
- Coating thickness
- Reflection phase
- Thin film interference
- Destructive interference
- Screen position
- Diffraction grating
- Grating spacing
- Order limit
- Central maximum
- Single slit diffraction
- Polarizer sequence
- Unpolarized light
- Brewster angle
- Orthogonal rays
- Reflection polarization
- Circular aperture
- Spatial resolution
- Focal length
- Lensmaker equation
- Surface curvature
- Immersed lens
- Lens power
- Relative index
- Paraxial imaging
- Spherical refraction
- Surface magnification
- Compound microscope
- Astronomical telescope
- Coherent superposition
- Interference visibility
- Unequal intensities
- Fringe order
- Temporal coherence
- Air wedge
- Thin film fringes
- Air film
- Newton rings
- Ring radius
- Fringe count
- Michelson interferometer
- Optical path change
- Grating resolution
- Illuminated lines
- Spectral separation
- Approximation error
- Exact angle
- Single slit
- Airy pattern
- Distant object
- Three polarizers
- Transmission maximum
- Angular dispersion
- Color separation
- Thin prism
- Compound lenses
- Signed magnification
- Virtual object
- Chromatic aberration
- Defocus blur
- Finite aperture
- Fermat principle
- Snell law derivation
- Stationary time
- Angular width
- Multiple slit interference
- Principal maximum
- Coherence audit
- Double slit model
- Far field condition
- Diffraction envelope
- Missing orders
- Antireflection coating
- Quarter wave film
- Residual reflectance
- Birefringence
- Circular polarization
- Quarter wave plate
- Prism index
- Uncertainty propagation
- Aperture resolution
- Seeing limit
- Wavelength dependence
- Achromatic doublet
- Dispersion cancellation
- Optical power
- Eye resolution
- Telescope design
Thermodynamics and kinetic theory
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Ideal gas law
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Molar mass
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RMS speed
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Molecular energy
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First law
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Internal energy
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Mean free path
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Diatomic gas
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Heat capacity
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Thermal equilibrium
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Monatomic gas
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Ideal gas energy
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Latent heat
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Ideal gas mixture
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Compression ratio
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Cycle efficiency
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Entropy generation
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Maximum work
109 more topics with one problem
- Absolute temperature
- Mole count
- Absolute pressure
- Constant volume
- Kelvin conversion
- Kinetic theory
- Temperature scale
- Heat work sign
- Boundary work
- Isobaric process
- Pv units
- Heat engine
- Thermal efficiency
- Gas density
- Collision model
- Molecular diameter
- Maxwell speeds
- Oxygen gas
- Speed ordering
- Isochoric heating
- Calorimetry
- Rigid vessel
- Enthalpy change
- Isobaric heating
- Isothermal expansion
- Logarithmic work
- Adiabatic compression
- Gamma relation
- Temperature rise
- Cycle orientation
- Net work
- Pv cycle
- Coefficient of performance
- Heat balance
- Refrigerator
- Carnot engine
- Maximum efficiency
- Reservoir temperature
- Ideal gas entropy
- Isothermal process
- State function
- Entropy change
- Phase change
- Dalton law
- Mole fraction
- Attraction correction
- Real gas pressure
- Van der waals
- Gaussian integral
- Maxwell distribution
- Effusion rate
- Graham law
- Collision time
- Molecular speed
- Cycle energy ledger
- Pv diagram
- Otto cycle
- Cutoff ratio
- Diesel cycle
- Free expansion
- Constant external pressure
- Irreversible compression
- Entropy of mixing
- Gibbs paradox
- Clausius inequality
- Impossible engine
- Second law
- Carnot refrigerator
- Cop limit
- Heat flow
- Entropy production
- Series resistance
- Thermal conduction
- Clausius clapeyron
- Vapor pressure
- Enthalpy
- Mayer relation
- Barometric formula
- Hydrostatic balance
- Scale height
- Kinetic pressure
- Wall collisions
- Clausius equality
- Entropy cycle
- Multiple reservoirs
- Path dependence
- Pv work
- State functions
- Regeneration
- Stirling cycle
- Brayton cycle
- Pressure ratio
- Finite reservoirs
- Reversible equilibrium
- Finite bodies
- Piston spring
- Variable pressure work
- Joule thomson
- Real gas cooling
- Throttling
- Carnot theorem
- Clausius statement
- Reversible refrigerator
- Availability
- Finite reservoir
- Reversible coupling
- Kinetic transport
- Pressure scaling
- Thermal conductivity
Special relativity
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Time dilation
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Length contraction
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Proper length
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Proper time
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Energy momentum
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Relativistic speed
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Rest frame
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Classical limit
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Center of momentum
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Invariant mass
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Two body decay
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System invariant mass
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Photon recoil
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Energy momentum conservation
122 more topics with one problem
- Dimensionless speed
- Inertial frame
- Lorentz factor
- Laboratory frame
- Proper lifetime
- Simultaneous endpoints
- Event separation
- Lorentz time transform
- Relativity of simultaneity
- Collinear motion
- Light speed invariance
- Velocity transformation
- Co located events
- Moving clock
- Energy scale
- Mass conversion
- Rest energy
- Decay distance
- Muon lifetime
- Cruise time
- Ship frame
- Dimensionless momentum
- Megaelectronvolt
- Proton
- Relativistic kinetic energy
- Collinear boosts
- Subluminal result
- Velocity addition
- Frame transformation
- Inverse velocity
- Same direction motion
- Event coordinates
- Lorentz transform
- Spacetime units
- Event order
- Simultaneity offset
- Spacelike events
- Receding source
- Redshift
- Relativistic doppler
- Piecewise inertial
- Twin journey
- Electron
- Momentum scale
- Relativistic momentum
- Gamma inversion
- Subluminal limit
- Inertial observer
- Null interval
- Photon rest frame
- Train tunnel
- Binomial series
- Kinetic energy expansion
- Light clock
- Pythagorean path
- Time dilation derivation
- Endpoint events
- Length contraction derivation
- Simultaneity
- Interval invariance
- Lorentz differences
- Timelike separation
- Causal classification
- Simultaneity frame
- Spacelike order
- Component transform
- Speed check
- Transverse velocity
- Light aberration
- Ray angle
- Transverse boost
- Composite rest mass
- Inelastic collision
- Momentum conservation
- Two photon decay
- Four momentum invariant
- Nuclear recoil
- Pair production
- Boost composition
- Hyperbolic function
- Rapidity
- Doppler derivation
- Phase invariance
- Wave four vector
- Particle speed
- Constant force
- Relativistic work
- Energy transform
- Four momentum boost
- Transverse momentum
- Event ordering
- Pole barn
- Differential lorentz
- Speed limit
- Velocity addition proof
- Pion production
- Threshold energy
- Daughter energy
- Four momentum
- Galilean comparison
- Multiple boosts
- Rapidity addition
- Hyperbolic worldline
- Proper acceleration
- Four momentum sum
- Atomic mass change
- Elastic collision
- Equal masses
- Causal interval
- Proper distance
- Signal limit
- Angular doppler
- Extremum direction
- Photon energy transform
- Fixed target
- General threshold
- Invariant energy
- Decay limits
- Kallen function
- Two body kinematics
- Center of momentum energy
- Collision angle
Introductory quantum and atomic physics
132 more topics with one problem
- Electronvolt conversion
- Photon energy
- Electron momentum
- Nonrelativistic check
- Born rule
- Normalization
- Probability density
- Emission energy
- Measurement concept
- Quantum state
- Uncertainty principle
- Photoelectric effect
- Threshold frequency
- Work function
- Mass ratio
- Matter wave scaling
- Photoelectric equation
- Stopping potential
- Ultraviolet photons
- Compton scattering
- Photon momentum
- Scattering angle
- Electron localization
- Momentum spread
- Uncertainty bound
- Energy quantization
- Infinite square well
- Transition energy
- Born rule integral
- Ground state density
- Infinite well probability
- Exponential transmission
- Quantum tunnelling
- Bohr model
- Hydrogen scales
- Principal quantum number
- Balmer series
- Hydrogen spectrum
- Rydberg formula
- Exponential state
- Interval probability
- Wavefunction normalization
- Expectation values
- Parity symmetry
- Position uncertainty
- Quantum interference
- Stationary superposition
- Time evolution
- Electron interference
- Which path information
- Atomic quantum numbers
- Electron configuration
- Pauli exclusion
- Bragg law
- Crystal spacing
- Atomic linewidth
- Energy time uncertainty
- Lifetime broadening
- Even parity
- Finite square well
- Barrier top limit
- Indeterminate form
- Ground state uncertainty
- Minimum uncertainty
- Quantum oscillator
- Canonical commutator
- Momentum operator
- Robertson inequality
- Angular quantum numbers
- Hydrogen degeneracy
- Spin multiplicity
- Direction cosine
- Magnetic quantum number
- Orbital angular momentum
- Sequential measurement
- Spin one half
- Stern gerlach
- Bloch vector
- Complex phase
- Spin expectation
- Accelerating voltage
- Blackbody radiation
- Thermal photon
- Wien law
- Planck oscillator
- Quantum statistics
- Natural linewidth
- Isotope shift
- Lyman alpha
- Reduced mass
- Energy measurement
- Energy variance
- Superposition state
- Bohr radius
- Hydrogen ground state
- Radial probability
- Boundary terms
- Eigenstate orthogonality
- Hermitian hamiltonian
- Ehrenfest theorem
- Quantum wavepacket
- Bound state parity
- Derivative jump
- Double delta well
- Alpha decay
- Nuclear barrier
- Wkb tunnelling
- Electron screening
- Helium atom
- Variational method
- Bohr magneton
- Magnetic sublevels
- Zeeman effect
- Larmor precession
- Spin time evolution
- Two level system
- Avoided crossing
- Hamiltonian diagonalization
- Two level mixing
- Bound state threshold
- Finite well level count
- Parity equations
- Atomic emission
- Energy scaling
- Gaussian variation
- Quartic oscillator
- Detuning
- Rabi oscillation
- Two level drive
- Asymptotic spectrum
- Quartic potential
- Wkb quantization