1. Thermodynamics1.1 Kinetic Theory of Temperature and Pressure0/01.1.1 Atomic Collisions in Gases1.1.2 Momentum Conservation in Gas Collisions1.1.3 Gas Pressure on Surfaces1.1.4 Pressure Throughout a Gas1.1.5 Temperature and Average Kinetic Energy1.1.6 Maxwell-Boltzmann Distributions1.1.7 Root-Mean-Square Speed and Temperature1.2 The Ideal Gas Law0/01.2.1 Assumptions of an Ideal Gas1.2.2 Pressure, Volume, Temperature, and Amount of Gas1.2.3 Using Gas Graphs to Determine Properties1.2.4 Extrapolating Absolute Zero from Pressure-Temperature Graphs1.3 Thermal Energy Transfer and Equilibrium0/01.3.1 Thermal Contact Between Systems1.3.2 Heating and Cooling as Energy Transfer1.3.3 Conduction, Convection, and Radiation1.3.4 Direction of Spontaneous Thermal Energy Transfer1.3.5 Atomic Collisions and Energy Transfer1.3.6 Thermal Equilibrium1.4 The First Law of Thermodynamics0/01.4.1 Internal Energy of a System1.4.2 Internal Energy of an Ideal Monatomic Gas1.4.3 Changes in Internal Energy1.4.4 Conservation of Energy in Thermodynamic Systems1.4.5 Isolated and Closed Systems1.4.6 Work Done by External Pressure1.4.7 Pressure-Volume Diagrams and Work1.4.8 Special Thermodynamic Processes1.5 Specific Heat and Thermal Conductivity0/01.5.1 Energy Required for Temperature Change1.5.2 Specific Heat as an Intrinsic Property1.5.3 Rate of Energy Transfer by Conduction1.5.4 Thermal Conductivity as an Intrinsic Property1.6 Entropy and the Second Law of Thermodynamics0/01.6.1 The Second Law of Thermodynamics1.6.2 Entropy as Energy Spreading1.6.3 Localized Energy and Dispersal1.6.4 Entropy as a State Function1.6.5 Maximum Entropy and Thermodynamic Equilibrium1.6.6 Entropy Changes in Isolated and Closed Systems1. Thermodynamics1.1 Kinetic Theory of Temperature and Pressure0/01.1.1 Atomic Collisions in Gases1.1.2 Momentum Conservation in Gas Collisions1.1.3 Gas Pressure on Surfaces1.1.4 Pressure Throughout a Gas1.1.5 Temperature and Average Kinetic Energy1.1.6 Maxwell-Boltzmann Distributions1.1.7 Root-Mean-Square Speed and Temperature1.2 The Ideal Gas Law0/01.2.1 Assumptions of an Ideal Gas1.2.2 Pressure, Volume, Temperature, and Amount of Gas1.2.3 Using Gas Graphs to Determine Properties1.2.4 Extrapolating Absolute Zero from Pressure-Temperature Graphs1.3 Thermal Energy Transfer and Equilibrium0/01.3.1 Thermal Contact Between Systems1.3.2 Heating and Cooling as Energy Transfer1.3.3 Conduction, Convection, and Radiation1.3.4 Direction of Spontaneous Thermal Energy Transfer1.3.5 Atomic Collisions and Energy Transfer1.3.6 Thermal Equilibrium1.4 The First Law of Thermodynamics0/01.4.1 Internal Energy of a System1.4.2 Internal Energy of an Ideal Monatomic Gas1.4.3 Changes in Internal Energy1.4.4 Conservation of Energy in Thermodynamic Systems1.4.5 Isolated and Closed Systems1.4.6 Work Done by External Pressure1.4.7 Pressure-Volume Diagrams and Work1.4.8 Special Thermodynamic Processes1.5 Specific Heat and Thermal Conductivity0/01.5.1 Energy Required for Temperature Change1.5.2 Specific Heat as an Intrinsic Property1.5.3 Rate of Energy Transfer by Conduction1.5.4 Thermal Conductivity as an Intrinsic Property1.6 Entropy and the Second Law of Thermodynamics0/01.6.1 The Second Law of Thermodynamics1.6.2 Entropy as Energy Spreading1.6.3 Localized Energy and Dispersal1.6.4 Entropy as a State Function1.6.5 Maximum Entropy and Thermodynamic Equilibrium1.6.6 Entropy Changes in Isolated and Closed Systems2. Electric Force, Field, and Potential2.1 Electric Charge and Electric Force0/02.1.1 Charge as a Fundamental Property2.1.2 Elementary Charge and Point Charge Models2.1.3 Coulomb's Law and Force Magnitude2.1.4 Attraction, Repulsion, and Force Direction2.1.5 Contact Forces and Electric Forces in Everyday Objects2.1.6 Comparing Electric and Gravitational Forces2.1.7 Why Gravity Dominates at Large Scales2.1.8 Electric Permittivity, Polarization, Conductors, and Insulators2.2 Conservation of Electric Charge and the Process of Charging0/02.2.1 Changing Net Charge and Charge Distribution2.2.2 Charging by Friction and Contact2.2.3 Induced Charge Separation and Polarization2.2.4 Electron Transfer, Charge Conservation, and Grounding2.3 Electric Fields0/02.3.1 Electric Fields from Charged Objects2.3.2 Test Charges and Field Direction2.3.3 Electric Force on Charges in a Field2.3.4 Electric Field as a Vector Quantity2.3.5 Field Maps and Field Line Diagrams2.3.6 Charged Conductors in Electrostatic Equilibrium2.3.7 Spherical Conductors and Point-Charge Equivalence2.3.8 Electric Fields in Insulators2.4 Electric Potential Energy0/02.4.1 Work and Electric Potential Energy2.4.2 Calculating Electric Potential Energy for Two Charges2.4.3 Total Electric Potential Energy of Point-Charge Systems2.5 Electric Potential0/02.5.1 Electric Potential as Energy per Unit Charge2.5.2 Scalar Superposition of Electric Potential2.5.3 Electric Potential Difference2.5.4 Batteries and Charge Separation2.5.5 Conductors at the Same Electric Potential2.5.6 Average Electric Field and Potential Difference2.5.7 Equipotential Lines and Field Maps2.5.8 Isolines, Field Direction, and Decreasing Potential2.6 Capacitors0/02.6.1 Structure and Charge Separation in Parallel-Plate Capacitors2.6.2 Capacitance and Potential Difference2.6.3 Physical Factors Affecting Capacitance2.6.4 Dielectric Constant and Permittivity in Capacitance2.6.5 Electric Field Between Parallel Plates2.6.6 Charged Particle Motion Between Plates2.6.7 Energy Stored in a Capacitor2.6.8 Dielectrics and Stored Capacitor Energy2.7 Conservation of Electric Energy0/02.7.1 Potential Difference and Change in Electric Potential Energy2.7.2 Conservation of Energy for Moving Charges2. Electric Force, Field, and Potential2.1 Electric Charge and Electric Force0/02.1.1 Charge as a Fundamental Property2.1.2 Elementary Charge and Point Charge Models2.1.3 Coulomb's Law and Force Magnitude2.1.4 Attraction, Repulsion, and Force Direction2.1.5 Contact Forces and Electric Forces in Everyday Objects2.1.6 Comparing Electric and Gravitational Forces2.1.7 Why Gravity Dominates at Large Scales2.1.8 Electric Permittivity, Polarization, Conductors, and Insulators2.2 Conservation of Electric Charge and the Process of Charging0/02.2.1 Changing Net Charge and Charge Distribution2.2.2 Charging by Friction and Contact2.2.3 Induced Charge Separation and Polarization2.2.4 Electron Transfer, Charge Conservation, and Grounding2.3 Electric Fields0/02.3.1 Electric Fields from Charged Objects2.3.2 Test Charges and Field Direction2.3.3 Electric Force on Charges in a Field2.3.4 Electric Field as a Vector Quantity2.3.5 Field Maps and Field Line Diagrams2.3.6 Charged Conductors in Electrostatic Equilibrium2.3.7 Spherical Conductors and Point-Charge Equivalence2.3.8 Electric Fields in Insulators2.4 Electric Potential Energy0/02.4.1 Work and Electric Potential Energy2.4.2 Calculating Electric Potential Energy for Two Charges2.4.3 Total Electric Potential Energy of Point-Charge Systems2.5 Electric Potential0/02.5.1 Electric Potential as Energy per Unit Charge2.5.2 Scalar Superposition of Electric Potential2.5.3 Electric Potential Difference2.5.4 Batteries and Charge Separation2.5.5 Conductors at the Same Electric Potential2.5.6 Average Electric Field and Potential Difference2.5.7 Equipotential Lines and Field Maps2.5.8 Isolines, Field Direction, and Decreasing Potential2.6 Capacitors0/02.6.1 Structure and Charge Separation in Parallel-Plate Capacitors2.6.2 Capacitance and Potential Difference2.6.3 Physical Factors Affecting Capacitance2.6.4 Dielectric Constant and Permittivity in Capacitance2.6.5 Electric Field Between Parallel Plates2.6.6 Charged Particle Motion Between Plates2.6.7 Energy Stored in a Capacitor2.6.8 Dielectrics and Stored Capacitor Energy2.7 Conservation of Electric Energy0/02.7.1 Potential Difference and Change in Electric Potential Energy2.7.2 Conservation of Energy for Moving Charges3. Electric CircuitsPremium3.1 Electric Current0/03.1.1 Current as Rate of Charge Flow3.1.2 Potential Difference and Motion of Charge3.1.3 Zero Current and Charge Carrier Motion3.1.4 Conventional Current and Electron Flow3.2 Simple Circuits0/03.2.1 Circuit Elements and Electrical Loops3.2.2 Closed, Open, and Short Circuits3.2.3 Physical Arrangement and Multiple Loops3.2.4 Circuit Schematic Symbols3.2.5 Variable Elements and Conventional Current3.3 Resistance, Resistivity, and Ohm's Law0/03.3.1 Resistance and Opposition to Charge Motion3.3.2 Geometry and Resistance3.3.3 Resistivity, Materials, and Temperature3.3.4 Ohm's Law in Circuit Elements3.3.5 Ohmic Materials and Constant Resistance3.3.6 Heating and Graphs of Resistance3.4 Electric Power0/03.4.1 Power as Rate of Energy Transfer3.4.2 Power Equations and Circuit Variables3.4.3 Bulb Brightness and Power3.5 Compound Direct Current (DC) Circuits0/03.5.1 Series and Parallel Connections3.5.2 Equivalent Resistance in Series3.5.3 Equivalent Resistance in Parallel3.5.4 Ideal Wires and Ideal Batteries3.5.5 Internal Resistance and Terminal Voltage3.5.6 Measuring Current with Ammeters3.5.7 Measuring Potential Difference with Voltmeters3.5.8 Nonideal Meters and Circuit Assumptions3.6 Kirchhoff's Loop Rule0/03.6.1 Energy Changes and Potential Difference3.6.2 Conservation of Energy in Closed Loops3.6.3 Electric Potential Graphs Around Loops3.7 Kirchhoff's Junction Rule0/03.7.1 Conservation of Charge at Junctions3.7.2 Current Into and Out of Junctions3.8 Resistor-Capacitor (RC) Circuits0/03.8.1 Equivalent Capacitance in Capacitor Networks3.8.2 Capacitors in Series3.8.3 Capacitors in Parallel and Series Charge3.8.4 Time Constant in RC Circuits3.8.5 Changing Current, Potential Difference, and Energy3.8.6 Initial and Final Charging Behavior3.8.7 Discharging Capacitors3.8.8 Qualitative Modeling of RC Circuits3. Electric CircuitsPremium3.1 Electric Current0/03.1.1 Current as Rate of Charge Flow3.1.2 Potential Difference and Motion of Charge3.1.3 Zero Current and Charge Carrier Motion3.1.4 Conventional Current and Electron Flow3.2 Simple Circuits0/03.2.1 Circuit Elements and Electrical Loops3.2.2 Closed, Open, and Short Circuits3.2.3 Physical Arrangement and Multiple Loops3.2.4 Circuit Schematic Symbols3.2.5 Variable Elements and Conventional Current3.3 Resistance, Resistivity, and Ohm's Law0/03.3.1 Resistance and Opposition to Charge Motion3.3.2 Geometry and Resistance3.3.3 Resistivity, Materials, and Temperature3.3.4 Ohm's Law in Circuit Elements3.3.5 Ohmic Materials and Constant Resistance3.3.6 Heating and Graphs of Resistance3.4 Electric Power0/03.4.1 Power as Rate of Energy Transfer3.4.2 Power Equations and Circuit Variables3.4.3 Bulb Brightness and Power3.5 Compound Direct Current (DC) Circuits0/03.5.1 Series and Parallel Connections3.5.2 Equivalent Resistance in Series3.5.3 Equivalent Resistance in Parallel3.5.4 Ideal Wires and Ideal Batteries3.5.5 Internal Resistance and Terminal Voltage3.5.6 Measuring Current with Ammeters3.5.7 Measuring Potential Difference with Voltmeters3.5.8 Nonideal Meters and Circuit Assumptions3.6 Kirchhoff's Loop Rule0/03.6.1 Energy Changes and Potential Difference3.6.2 Conservation of Energy in Closed Loops3.6.3 Electric Potential Graphs Around Loops3.7 Kirchhoff's Junction Rule0/03.7.1 Conservation of Charge at Junctions3.7.2 Current Into and Out of Junctions3.8 Resistor-Capacitor (RC) Circuits0/03.8.1 Equivalent Capacitance in Capacitor Networks3.8.2 Capacitors in Series3.8.3 Capacitors in Parallel and Series Charge3.8.4 Time Constant in RC Circuits3.8.5 Changing Current, Potential Difference, and Energy3.8.6 Initial and Final Charging Behavior3.8.7 Discharging Capacitors3.8.8 Qualitative Modeling of RC Circuits4. Magnetism and ElectromagnetismPremium4.1 Magnetic Fields0/04.1.1 Magnetic Fields as Vector Fields4.1.2 Magnetic Dipoles and Magnetic Poles4.1.3 Representing Magnetic Field Lines4.1.4 Bar Magnets and Pole Interactions4.1.5 Magnetic Dipoles in Materials4.1.6 Magnetic Alignment, Distance, and Earth’s Field4.1.7 Ferromagnetic, Paramagnetic, and Diamagnetic Materials4.1.8 Magnetic Permeability of Materials4.2 Magnetism and Moving Charges0/04.2.1 Magnetic Fields Produced by Moving Charges4.2.2 Direction of Fields from Moving Charges4.2.3 Maximum Field Strength from Moving Charges4.2.4 Magnetic Forces on Moving Charges4.2.5 Factors Affecting Magnetic Force Magnitude4.2.6 Direction of Magnetic Force4.2.7 Combined Electric and Magnetic Fields4.2.8 The Hall Effect4.3 Magnetism and Current-Carrying Wires0/04.3.1 Magnetic Fields Around Current-Carrying Wires4.3.2 Field Strength, Current, and Distance4.3.3 Right-Hand Rule for Wires and Loops4.3.4 Fields from Multiple Current-Carrying Wires4.3.5 Magnetic Forces on Current-Carrying Wires4.3.6 Factors Affecting Force on a Wire4.3.7 Direction of Force on a Current-Carrying Wire4.4 Electromagnetic Induction and Faraday’s Law0/04.4.1 Magnetic Flux4.4.2 Area Vectors and Flux Sign4.4.3 Calculating Magnetic Flux4.4.4 Faraday’s Law and Induced EMF4.4.5 Lenz’s Law and Opposing Flux Changes4.4.6 Right-Hand Rule in Induction4.4.7 Motional EMF on Conducting Rails4. Magnetism and ElectromagnetismPremium4.1 Magnetic Fields0/04.1.1 Magnetic Fields as Vector Fields4.1.2 Magnetic Dipoles and Magnetic Poles4.1.3 Representing Magnetic Field Lines4.1.4 Bar Magnets and Pole Interactions4.1.5 Magnetic Dipoles in Materials4.1.6 Magnetic Alignment, Distance, and Earth’s Field4.1.7 Ferromagnetic, Paramagnetic, and Diamagnetic Materials4.1.8 Magnetic Permeability of Materials4.2 Magnetism and Moving Charges0/04.2.1 Magnetic Fields Produced by Moving Charges4.2.2 Direction of Fields from Moving Charges4.2.3 Maximum Field Strength from Moving Charges4.2.4 Magnetic Forces on Moving Charges4.2.5 Factors Affecting Magnetic Force Magnitude4.2.6 Direction of Magnetic Force4.2.7 Combined Electric and Magnetic Fields4.2.8 The Hall Effect4.3 Magnetism and Current-Carrying Wires0/04.3.1 Magnetic Fields Around Current-Carrying Wires4.3.2 Field Strength, Current, and Distance4.3.3 Right-Hand Rule for Wires and Loops4.3.4 Fields from Multiple Current-Carrying Wires4.3.5 Magnetic Forces on Current-Carrying Wires4.3.6 Factors Affecting Force on a Wire4.3.7 Direction of Force on a Current-Carrying Wire4.4 Electromagnetic Induction and Faraday’s Law0/04.4.1 Magnetic Flux4.4.2 Area Vectors and Flux Sign4.4.3 Calculating Magnetic Flux4.4.4 Faraday’s Law and Induced EMF4.4.5 Lenz’s Law and Opposing Flux Changes4.4.6 Right-Hand Rule in Induction4.4.7 Motional EMF on Conducting Rails5. Geometric OpticsPremium5.1 Reflection0/05.1.1 Light Rays and Wavefronts5.1.2 Using Ray Diagrams in Geometric Optics5.1.3 Limits of the Ray Model5.1.4 Lasers as Ray Sources5.1.5 The Law of Reflection5.1.6 Diffuse and Specular Reflection5.2 Images Formed by Mirrors0/05.2.1 Concave Mirrors and Focal Points5.2.2 Convex and Plane Mirror Focal Points5.2.3 Radius of Curvature and Focal Length5.2.4 Real and Virtual Images in Mirrors5.2.5 Mirror Equation and Sign Conventions5.2.6 Plane Mirrors and Image Distance5.2.7 Magnification and Image Properties5.2.8 Mirror Ray Diagrams5.3 Refraction0/05.3.1 Refraction and Changing Light Speed5.3.2 Index of Refraction5.3.3 Snell's Law5.3.4 Bending Toward or Away from the Normal5.3.5 Incidence Along the Normal5.3.6 Total Internal Reflection and Critical Angle5.4 Images Formed by Lenses0/05.4.1 Convex Lenses and Focal Points5.4.2 Concave Lenses and Virtual Focal Points5.4.3 Real and Virtual Images in Lenses5.4.4 Thin-Lens Equation and Image Location5.4.5 Lens Sign Conventions and Focal Points5.4.6 Lens Magnification5.4.7 Lens Ray Diagrams and Image Properties5. Geometric OpticsPremium5.1 Reflection0/05.1.1 Light Rays and Wavefronts5.1.2 Using Ray Diagrams in Geometric Optics5.1.3 Limits of the Ray Model5.1.4 Lasers as Ray Sources5.1.5 The Law of Reflection5.1.6 Diffuse and Specular Reflection5.2 Images Formed by Mirrors0/05.2.1 Concave Mirrors and Focal Points5.2.2 Convex and Plane Mirror Focal Points5.2.3 Radius of Curvature and Focal Length5.2.4 Real and Virtual Images in Mirrors5.2.5 Mirror Equation and Sign Conventions5.2.6 Plane Mirrors and Image Distance5.2.7 Magnification and Image Properties5.2.8 Mirror Ray Diagrams5.3 Refraction0/05.3.1 Refraction and Changing Light Speed5.3.2 Index of Refraction5.3.3 Snell's Law5.3.4 Bending Toward or Away from the Normal5.3.5 Incidence Along the Normal5.3.6 Total Internal Reflection and Critical Angle5.4 Images Formed by Lenses0/05.4.1 Convex Lenses and Focal Points5.4.2 Concave Lenses and Virtual Focal Points5.4.3 Real and Virtual Images in Lenses5.4.4 Thin-Lens Equation and Image Location5.4.5 Lens Sign Conventions and Focal Points5.4.6 Lens Magnification5.4.7 Lens Ray Diagrams and Image Properties6. Waves, Sound, and Physical OpticsPremium6.1 Properties of Wave Pulses and Waves0/06.1.1 Wave Pulses, Continuous Waves, and Energy Transfer6.1.2 Mechanical and Electromagnetic Wave Propagation6.1.3 Wave Speed in Media and Strings6.1.4 Transverse and Longitudinal Waves6.1.5 Sound Waves, Compressions, and Rarefactions6.1.6 Amplitude, Loudness, and Wave Energy6.2 Periodic Waves0/06.2.1 Period and Frequency6.2.2 Amplitude, Frequency, Energy, and Pitch6.2.3 Wavelength and Wave Position6.2.4 Sinusoidal Wave Equations6.2.5 Wave Speed, Wavelength, and Frequency6.3 Boundary Behavior of Waves and Polarization0/06.3.1 Transmission and Reflection at Boundaries6.3.2 Wave Inversion and Medium Changes6.3.3 Frequency Across Boundaries6.3.4 Polarization of Transverse Waves6.3.5 Intensity and Power Transfer6.4 Electromagnetic Waves0/06.4.1 Electric and Magnetic Field Oscillations6.4.2 Transverse Plane Waves6.4.3 Electromagnetic Waves Without a Medium6.4.4 The Electromagnetic Spectrum6.4.5 Visible Light and Color6.4.6 Light, Electromagnetic Radiation, and Boundary Limits6.5 The Doppler Effect0/06.5.1 Rest Frequency, Observed Frequency, and Relative Motion6.5.2 Relative Velocity and Frequency Shift6.5.3 Sources Moving Toward or Away From Observers6.5.4 Qualitative Doppler Effect Applications6.6 Wave Interference and Standing Waves0/06.6.1 Wave Interference and Overlap6.6.2 Superposition of Displacements6.6.3 Constructive and Destructive Interference6.6.4 Amplitude Variations and Beat Frequency6.6.5 Standing Waves from Opposite Traveling Waves6.6.6 Nodes, Antinodes, and Boundary Conditions6.6.7 Harmonics and Fundamental Frequency6.6.8 Standing Wave Representations and Relationships6.7 Diffraction0/06.7.1 Diffraction Around Edges and Openings6.7.2 Opening Size and Wavelength6.7.3 Single-Slit Interference Patterns6.7.4 Path Length Difference in Single-Slit Diffraction6.7.5 Small-Angle Approximation for Minima6.7.6 Opening Shape and Pattern Interpretation6.8 Double-Slit Interference and Diffraction Gratings0/06.8.1 Double-Slit Interference and Diffraction6.8.2 Uniformly Spaced Maxima and Bright Bands6.8.3 Path Length Difference in Double-Slit Patterns6.8.4 Small-Angle Approximation for Maxima6.8.5 Single-Slit Envelopes in Double-Slit Patterns6.8.6 Young’s Double-Slit Experiment6.8.7 Diffraction Gratings and Multiple Slits6.8.8 White Light Dispersion with Diffraction Gratings6.9 Thin-Film Interference0/06.9.1 Reflection, Transmission, and Absorption in Thin Films6.9.2 Phase Changes at Reflecting Boundaries6.9.3 Refraction and Phase in Thin Films6.9.4 Thin-Film Interference from Reflected Waves6.9.5 Film Thickness, Wavelength, Phase, and Angle6.9.6 Soap Bubbles, Oil Films, and Color Variation6.9.7 Antireflection Coatings and Destructive Interference6.9.8 Quantitative Limits for Thin-Film Interference6. Waves, Sound, and Physical OpticsPremium6.1 Properties of Wave Pulses and Waves0/06.1.1 Wave Pulses, Continuous Waves, and Energy Transfer6.1.2 Mechanical and Electromagnetic Wave Propagation6.1.3 Wave Speed in Media and Strings6.1.4 Transverse and Longitudinal Waves6.1.5 Sound Waves, Compressions, and Rarefactions6.1.6 Amplitude, Loudness, and Wave Energy6.2 Periodic Waves0/06.2.1 Period and Frequency6.2.2 Amplitude, Frequency, Energy, and Pitch6.2.3 Wavelength and Wave Position6.2.4 Sinusoidal Wave Equations6.2.5 Wave Speed, Wavelength, and Frequency6.3 Boundary Behavior of Waves and Polarization0/06.3.1 Transmission and Reflection at Boundaries6.3.2 Wave Inversion and Medium Changes6.3.3 Frequency Across Boundaries6.3.4 Polarization of Transverse Waves6.3.5 Intensity and Power Transfer6.4 Electromagnetic Waves0/06.4.1 Electric and Magnetic Field Oscillations6.4.2 Transverse Plane Waves6.4.3 Electromagnetic Waves Without a Medium6.4.4 The Electromagnetic Spectrum6.4.5 Visible Light and Color6.4.6 Light, Electromagnetic Radiation, and Boundary Limits6.5 The Doppler Effect0/06.5.1 Rest Frequency, Observed Frequency, and Relative Motion6.5.2 Relative Velocity and Frequency Shift6.5.3 Sources Moving Toward or Away From Observers6.5.4 Qualitative Doppler Effect Applications6.6 Wave Interference and Standing Waves0/06.6.1 Wave Interference and Overlap6.6.2 Superposition of Displacements6.6.3 Constructive and Destructive Interference6.6.4 Amplitude Variations and Beat Frequency6.6.5 Standing Waves from Opposite Traveling Waves6.6.6 Nodes, Antinodes, and Boundary Conditions6.6.7 Harmonics and Fundamental Frequency6.6.8 Standing Wave Representations and Relationships6.7 Diffraction0/06.7.1 Diffraction Around Edges and Openings6.7.2 Opening Size and Wavelength6.7.3 Single-Slit Interference Patterns6.7.4 Path Length Difference in Single-Slit Diffraction6.7.5 Small-Angle Approximation for Minima6.7.6 Opening Shape and Pattern Interpretation6.8 Double-Slit Interference and Diffraction Gratings0/06.8.1 Double-Slit Interference and Diffraction6.8.2 Uniformly Spaced Maxima and Bright Bands6.8.3 Path Length Difference in Double-Slit Patterns6.8.4 Small-Angle Approximation for Maxima6.8.5 Single-Slit Envelopes in Double-Slit Patterns6.8.6 Young’s Double-Slit Experiment6.8.7 Diffraction Gratings and Multiple Slits6.8.8 White Light Dispersion with Diffraction Gratings6.9 Thin-Film Interference0/06.9.1 Reflection, Transmission, and Absorption in Thin Films6.9.2 Phase Changes at Reflecting Boundaries6.9.3 Refraction and Phase in Thin Films6.9.4 Thin-Film Interference from Reflected Waves6.9.5 Film Thickness, Wavelength, Phase, and Angle6.9.6 Soap Bubbles, Oil Films, and Color Variation6.9.7 Antireflection Coatings and Destructive Interference6.9.8 Quantitative Limits for Thin-Film Interference7. Modern PhysicsPremium7.1 Quantum Theory and Wave-Particle Duality0/07.1.1 Why Quantum Theory Is Needed7.1.2 Matter and Light as Waves and Particles7.1.3 Photons and Quantized Light Energy7.1.4 Photon Motion and Speed in Media7.1.5 De Broglie Wavelength and Matter Waves7.1.6 Quantized Energy and Momentum in Bound Systems7.2 The Bohr Model of Atomic Structure0/07.2.1 Atomic Structure and Nuclear Notation7.2.2 Elements, Isotopes, Ions, and Atomic Mass7.2.3 Electrons in the Bohr Model7.2.4 Allowed Energy States and Standing Waves7.2.5 AP Limits of Atomic Structure Models7.3 Emission and Absorption Spectra0/07.3.1 Photon Absorption and Emission by Atoms7.3.2 Energy Level Transitions7.3.3 Photon Frequency, Wavelength, and Energy Differences7.3.4 Element Spectra and Identification7.3.5 Using Energy Level Diagrams7.3.6 Binding Energy and Ionization7.4 Blackbody Radiation0/07.4.1 Thermal Energy and Electromagnetic Radiation7.4.2 The Ideal Blackbody Model7.4.3 Continuous Spectra and Planck’s Law7.4.4 Wien’s Law and Peak Wavelength7.4.5 Stefan-Boltzmann Law and Radiated Power7.5 The Photoelectric Effect0/07.5.1 Electron Emission from Photoactive Materials7.5.2 Threshold Frequency and Electron Emission7.5.3 Photon Number Versus Electron Energy7.5.4 Work Function and Maximum Kinetic Energy7.5.5 Photoelectric Effect Experiments and Stopping Potential7.5.6 AP Limits for Work Functions7.6 Compton Scattering0/07.6.1 Photon-Electron Collisions7.6.2 Evidence for Photon Momentum7.6.3 Changes in Photon Energy, Frequency, and Wavelength7.6.4 Scattering Angle and Wavelength Shift7.6.5 Momentum Conservation in Two Dimensions7.7 Fission, Fusion, and Nuclear Decay0/07.7.1 The Strong Force and Nucleon Interactions7.7.2 Conservation Laws in Nuclear Reactions7.7.3 Mass-Energy Equivalence and Energy Release7.7.4 Nuclear Fusion7.7.5 Nuclear Fission7.7.6 Binding Energy and Spontaneous Fission7.7.7 Radioactive Decay and Half-Life7.7.8 Decay Constant, Remaining Nuclei, and Dating7.8 Types of Radioactive Decay0/07.8.1 Particles Emitted in Nuclear Decay7.8.2 Conservation Rules in Nuclear Decay7.8.3 Alpha Decay7.8.4 Beta-Minus Decay7.8.5 Beta-Plus Decay7.8.6 Gamma Decay7.8.7 Isotopes and AP Limits for Decay Types7. Modern PhysicsPremium7.1 Quantum Theory and Wave-Particle Duality0/07.1.1 Why Quantum Theory Is Needed7.1.2 Matter and Light as Waves and Particles7.1.3 Photons and Quantized Light Energy7.1.4 Photon Motion and Speed in Media7.1.5 De Broglie Wavelength and Matter Waves7.1.6 Quantized Energy and Momentum in Bound Systems7.2 The Bohr Model of Atomic Structure0/07.2.1 Atomic Structure and Nuclear Notation7.2.2 Elements, Isotopes, Ions, and Atomic Mass7.2.3 Electrons in the Bohr Model7.2.4 Allowed Energy States and Standing Waves7.2.5 AP Limits of Atomic Structure Models7.3 Emission and Absorption Spectra0/07.3.1 Photon Absorption and Emission by Atoms7.3.2 Energy Level Transitions7.3.3 Photon Frequency, Wavelength, and Energy Differences7.3.4 Element Spectra and Identification7.3.5 Using Energy Level Diagrams7.3.6 Binding Energy and Ionization7.4 Blackbody Radiation0/07.4.1 Thermal Energy and Electromagnetic Radiation7.4.2 The Ideal Blackbody Model7.4.3 Continuous Spectra and Planck’s Law7.4.4 Wien’s Law and Peak Wavelength7.4.5 Stefan-Boltzmann Law and Radiated Power7.5 The Photoelectric Effect0/07.5.1 Electron Emission from Photoactive Materials7.5.2 Threshold Frequency and Electron Emission7.5.3 Photon Number Versus Electron Energy7.5.4 Work Function and Maximum Kinetic Energy7.5.5 Photoelectric Effect Experiments and Stopping Potential7.5.6 AP Limits for Work Functions7.6 Compton Scattering0/07.6.1 Photon-Electron Collisions7.6.2 Evidence for Photon Momentum7.6.3 Changes in Photon Energy, Frequency, and Wavelength7.6.4 Scattering Angle and Wavelength Shift7.6.5 Momentum Conservation in Two Dimensions7.7 Fission, Fusion, and Nuclear Decay0/07.7.1 The Strong Force and Nucleon Interactions7.7.2 Conservation Laws in Nuclear Reactions7.7.3 Mass-Energy Equivalence and Energy Release7.7.4 Nuclear Fusion7.7.5 Nuclear Fission7.7.6 Binding Energy and Spontaneous Fission7.7.7 Radioactive Decay and Half-Life7.7.8 Decay Constant, Remaining Nuclei, and Dating7.8 Types of Radioactive Decay0/07.8.1 Particles Emitted in Nuclear Decay7.8.2 Conservation Rules in Nuclear Decay7.8.3 Alpha Decay7.8.4 Beta-Minus Decay7.8.5 Beta-Plus Decay7.8.6 Gamma Decay7.8.7 Isotopes and AP Limits for Decay Types