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OCR A Level Physics

Revision Notes

Home / A Level / Physics / OCR / Revision Notes / 4. Electrons, Waves & Photons / 4.8 Refraction & Reflection / 4.8.3 Wave Phenomena


4.8.3 Wave Phenomena


Reflection, Refraction, Polarisation & Diffraction

  • Wave phenomena are unique to waves and not particles. These include:
    • Reflection
    • Refraction
    • Polarisation
    • Diffraction

Reflection

  • Waves reflect from all surfaces, this is seen in mirrors

light-reflection, IGCSE & GCSE Physics revision notes
  • The key feature of reflection is the angle of incidence i is equal to the angle of reflection r

Refraction

  • Refraction is when light travels at a different speed when travelling through another medium
    • This is seen when light passes through a boundary such as from air to glass

  • White light splits into a spectrum due to refraction
    • violet light is slowed down more and refracts more than red light

refraction-by-prism, IGCSE & GCSE Physics revision notes

Refraction of light through a prism

Polarisation

  • Polarisation is a wave phenomenon that only occurs for transverse waves
    • This is when the vibrations of transverse waves are restricted in one direction

Polaroid Sunglasses (1), downloadable AS & A Level Physics revision notes

Polaroid sunglasses use polarisers to reduce glare

Diffraction

  • Diffraction is the spreading out of waves when they pass an obstruction
    • This obstruction is typically a narrow slit known as an aperture

  • It usually represented by a wavefront
  • The only property of a wave that changes when it diffracts is its amplitude
    • This is because some energy is dissipated when a wave is diffracted through a gap

  • The effects of diffraction are most prominent when the gap size is approximately the same or smaller than the wavelength of the wave
  • As the gap size increases, the effect gradually gets less pronounced until, in the case that the gap is much larger than the wavelength, the waves are no longer spread out

 Diffraction gap size, downloadable AS & A Level Physics revision notes

The size of the gap (compared to the wavelength) affects how much the waves spread out when diffracted

  • The diffraction pattern of light can be represented as a series of light and dark fringes which show the areas of maximum and minimum intensity
  • If a laser emitting blue light is directed at a single slit, where the slit width is larger than the wavelength of the light, it will spread out as follows:

 Diffraction with a laser, downloadable AS & A Level Physics revision notes

The intensity pattern of blue laser light diffracted through a single slit

  • If the laser were to be replaced by a non-laser source emitting white light:
    • The central maximum would be white
    • All maxima would be composed of a spectrum
    • The shortest wavelength (violet / blue) would appear nearest to the central maximum
    • The longest wavelength (red) would appear furthest from the central maximum
    • The fringe spacing would be smaller and the maxima would be wider

White Light Diffraction, downloadable AS & A Level Physics revision notes

Qualitative treatment of the variation of the width of the central diffraction maximum with wavelength and slit width



  • 1. Development of Practical Skills in Physics
    • 1.1 Experimental Design
      • 1.1.1 Experimental Design
        • 1.1.2 Control Variables
          • 1.1.3 Refining of Experimental Design
            • 1.1.4 Investigative Approaches & Methods
              • 1.1.5 Using Practical Equipment & Materials
                • 1.1.6 Appropriate Units for Measurements
                • 1.2 Handling Data
                  • 1.2.1 Presenting & Interpreting Results
                    • 1.2.2 Analysing Quantitative Data
                      • 1.2.3 Plotting & Interpreting Graphs
                        • 1.2.4 Evaluating Results & Drawing Conclusions
                          • 1.2.5 Observations & Measurements
                            • 1.2.6 Presenting in a Scientific Way
                              • 1.2.7 Use of Software & Tools
                                • 1.2.8 Research & Citation Skills
                                  • 1.2.9 Precision, Accuracy & Experimental Limitations
                                    • 1.2.10 Significant Figures
                                      • 1.2.11 Methods to Increase Accuracy
                                      • 1.3 Use of Measuring Instruments & Electrical Equipment
                                        • 1.3.1 Using Appropriate Instruments & Techniques
                                          • 1.3.2 Analogue Apparatus & Interpolation
                                            • 1.3.3 Use of Digital Instruments
                                              • 1.3.4 Stopwatch & Light Gates
                                                • 1.3.5 Calipers, Micrometers & Vernier Scales
                                                  • 1.3.6 Circuits
                                                    • 1.3.7 Signal Generators & Oscilloscope
                                                      • 1.3.8 Using a Laser or Light Source
                                                        • 1.3.9 Computer Modelling & Data Logger
                                                          • 1.3.10 Ionising Radiation & Detectors
                                                        • 2. Foundations of Physics
                                                          • 2.1 Physical Quantities & Units
                                                            • 2.1.1 Physical Quantities
                                                              • 2.1.2 SI Units
                                                                • 2.1.3 Homogeneity of Physical Equations & Powers of Ten
                                                                  • 2.1.4 Labelling Graphs & Tables
                                                                  • 2.2 Measurements & Uncertainties
                                                                    • 2.2.1 Sources of Uncertainty
                                                                      • 2.2.2 Calculating Uncertainties
                                                                        • 2.2.3 Determining Uncertainties from Graphs
                                                                        • 2.3 Scalars & Vectors
                                                                          • 2.3.1 Scalars & Vectors
                                                                            • 2.3.2 Combining Vectors
                                                                              • 2.3.3 Resolving Vectors
                                                                            • 3. Forces & Motion
                                                                              • 3.1 Kinematics
                                                                                • 3.1.1 Displacement, Velocity & Acceleration
                                                                                  • 3.1.2 Motion Graphs
                                                                                    • 3.1.3 Displacement & Velocity-Time Graphs
                                                                                    • 3.2 Linear & Projectile Motion
                                                                                      • 3.2.1 SUVAT Equations
                                                                                        • 3.2.2 Investigating Motion & Collisions
                                                                                          • 3.2.3 Acceleration & Free Fall
                                                                                            • 3.2.4 Braking & Reaction Times
                                                                                              • 3.2.5 Projectile Motion
                                                                                              • 3.3 Dynamics
                                                                                                • 3.3.1 Force & Acceleration
                                                                                                  • 3.3.2 Weight
                                                                                                    • 3.3.3 Tension, Normal force, Upthrust & Friction
                                                                                                      • 3.3.4 Motion in One & Two Dimensions
                                                                                                        • 3.3.5 Drag Forces
                                                                                                          • 3.3.6 Terminal Velocity
                                                                                                            • 3.3.7 Investigating Terminal Velocity
                                                                                                            • 3.4 Moments
                                                                                                              • 3.4.1 Moments
                                                                                                                • 3.4.2 Couples & Torque
                                                                                                                  • 3.4.3 Centre of Mass
                                                                                                                    • 3.4.4 Equilibrium
                                                                                                                    • 3.5 Density & Pressure
                                                                                                                      • 3.5.1 Density
                                                                                                                        • 3.5.2 Pressure
                                                                                                                          • 3.5.3 Archimedes' Principle
                                                                                                                          • 3.6 Work, Energy & Power
                                                                                                                            • 3.6.1 Work Done
                                                                                                                              • 3.6.2 Conservation of Energy
                                                                                                                                • 3.6.3 Energy & Work
                                                                                                                                  • 3.6.4 Kinetic Energy
                                                                                                                                    • 3.6.5 Gravitational Potential Energy
                                                                                                                                      • 3.6.6 Power
                                                                                                                                        • 3.6.7 Efficiency
                                                                                                                                        • 3.7 Materials
                                                                                                                                          • 3.7.1 Deformation & Compression
                                                                                                                                            • 3.7.2 Hooke's Law
                                                                                                                                              • 3.7.3 Force-Extension Graphs
                                                                                                                                                • 3.7.4 Elastic Potential Energy
                                                                                                                                                  • 3.7.5 Stress, Strain & Tensile Strength
                                                                                                                                                    • 3.7.6 Young's Modulus
                                                                                                                                                      • 3.7.7 Stress-Strain Graphs
                                                                                                                                                        • 3.7.8 Elastic & Plastic Deformation
                                                                                                                                                        • 3.8 Newton's Laws of Motion & Momentum
                                                                                                                                                          • 3.8.1 Newton's Three Laws of Motion
                                                                                                                                                            • 3.8.2 Linear Momentum
                                                                                                                                                              • 3.8.3 Impulse
                                                                                                                                                                • 3.8.4 Impulse on a Force-Time Graph
                                                                                                                                                                  • 3.8.5 Conversation of Momentum
                                                                                                                                                                    • 3.8.6 Collisions
                                                                                                                                                                  • 4. Electrons, Waves & Photons
                                                                                                                                                                    • 4.1 Charge & Current
                                                                                                                                                                      • 4.1.1 Electric Current & Charge
                                                                                                                                                                        • 4.1.2 Electric Current & Electron Flow
                                                                                                                                                                          • 4.1.3 Kirchhoff's First Law
                                                                                                                                                                            • 4.1.4 Current in a Current Carrying Conductor
                                                                                                                                                                              • 4.1.5 Conductors, Semiconductors & Insulators
                                                                                                                                                                                • 4.1.6 Circuit Symbols & Diagrams
                                                                                                                                                                                • 4.2 Resistance & Resistivity
                                                                                                                                                                                  • 4.2.1 Resistance
                                                                                                                                                                                    • 4.2.2 Ohm's Law & I-V Characteristics
                                                                                                                                                                                      • 4.2.3 Investigating Electrical Characteristics of Components
                                                                                                                                                                                        • 4.2.4 The Light-Dependent Resistor (LDR)
                                                                                                                                                                                          • 4.2.5 Resistivity
                                                                                                                                                                                            • 4.2.6 Determining the Resistivity of a Metal
                                                                                                                                                                                              • 4.2.7 Thermistors
                                                                                                                                                                                              • 4.3 Series & Parallel Circuits
                                                                                                                                                                                                • 4.3.1 Power
                                                                                                                                                                                                  • 4.3.2 Electrical Energy
                                                                                                                                                                                                    • 4.3.3 Kirchhoff's Second Law
                                                                                                                                                                                                      • 4.3.4 Kirchhoff's Laws in Circuits
                                                                                                                                                                                                        • 4.3.5 Resistors in Series & Parallel Circuits
                                                                                                                                                                                                          • 4.3.6 Series & Parallel Circuits
                                                                                                                                                                                                            • 4.3.7 Circuits with Multiple Sources of e.m.f
                                                                                                                                                                                                            • 4.4 EMF & Internal Resistance
                                                                                                                                                                                                              • 4.4.1 E.m.f & Internal Resistance
                                                                                                                                                                                                                • 4.4.2 Calculating E.m.f
                                                                                                                                                                                                                  • 4.4.3 Determining Internal Resistance
                                                                                                                                                                                                                    • 4.4.4 E.m.f & Potential Difference
                                                                                                                                                                                                                      • 4.4.5 Energy Transfer
                                                                                                                                                                                                                      • 4.5 Potential Dividers
                                                                                                                                                                                                                        • 4.5.1 Potential Divider Circuits
                                                                                                                                                                                                                          • 4.5.2 Variable Resistance Components
                                                                                                                                                                                                                            • 4.5.3 Investigating Potential Divider Circuits
                                                                                                                                                                                                                            • 4.6 Longitudinal & Transverse Waves
                                                                                                                                                                                                                              • 4.6.1 Progressive Waves: Longitudinal & Transverse
                                                                                                                                                                                                                                • 4.6.2 Calculating Frequency
                                                                                                                                                                                                                                  • 4.6.3 The Wave Equation
                                                                                                                                                                                                                                    • 4.6.4 Graphical Representations of Transverse & Longitudinal Waves
                                                                                                                                                                                                                                      • 4.6.5 Intensity of a Wave
                                                                                                                                                                                                                                      • 4.7 EM Waves
                                                                                                                                                                                                                                        • 4.7.1 The Electromagnetic Spectrum
                                                                                                                                                                                                                                          • 4.7.2 Polarisation
                                                                                                                                                                                                                                          • 4.8 Refraction & Reflection
                                                                                                                                                                                                                                            • 4.8.1 Refraction
                                                                                                                                                                                                                                              • 4.8.2 Total Internal Reflection
                                                                                                                                                                                                                                                • 4.8.3 Wave Phenomena
                                                                                                                                                                                                                                                • 4.9 Superposition & Stationary Waves
                                                                                                                                                                                                                                                  • 4.9.1 Superposition
                                                                                                                                                                                                                                                    • 4.9.2 Graphical Representation of Superposition
                                                                                                                                                                                                                                                      • 4.9.3 Interference
                                                                                                                                                                                                                                                        • 4.9.4 Two-Source Interference
                                                                                                                                                                                                                                                          • 4.9.5 Young Double-Slit Experiment
                                                                                                                                                                                                                                                            • 4.9.6 Determining the Wavelength of Light
                                                                                                                                                                                                                                                              • 4.9.7 Stationary Waves
                                                                                                                                                                                                                                                                • 4.9.8 Stationary vs Progressive Waves
                                                                                                                                                                                                                                                                  • 4.9.9 Nodes & Antinodes
                                                                                                                                                                                                                                                                    • 4.9.10 Determining the Speed of Sound in Air in a Resonance Tube
                                                                                                                                                                                                                                                                      • 4.9.11 Harmonics
                                                                                                                                                                                                                                                                      • 4.10 The Photoelectric Effect
                                                                                                                                                                                                                                                                        • 4.10.1 The Photoelectric Effect
                                                                                                                                                                                                                                                                          • 4.10.2 Demonstrating the Photoelectric Effect
                                                                                                                                                                                                                                                                            • 4.10.3 The Photoelectric Equation
                                                                                                                                                                                                                                                                              • 4.10.4 Work Function & Threshold Frequency
                                                                                                                                                                                                                                                                                • 4.10.5 Maximum Kinetic Energy & Intensity
                                                                                                                                                                                                                                                                                • 4.11 Photons & Wave-Particle Duality
                                                                                                                                                                                                                                                                                  • 4.11.1 The Photon
                                                                                                                                                                                                                                                                                    • 4.11.2 The Electronvolt
                                                                                                                                                                                                                                                                                      • 4.11.3 Determining the Planck Constant
                                                                                                                                                                                                                                                                                        • 4.11.4 Electron Diffraction
                                                                                                                                                                                                                                                                                          • 4.11.5 The de Broglie Equation
                                                                                                                                                                                                                                                                                        • 5. Newtonian World & Astrophysics
                                                                                                                                                                                                                                                                                          • 5.1 Thermal Properties of Materials
                                                                                                                                                                                                                                                                                            • 5.1.1 Thermal Equilibrium
                                                                                                                                                                                                                                                                                              • 5.1.2 Measurement of Temperature
                                                                                                                                                                                                                                                                                                • 5.1.3 Solids, Liquids & Gases
                                                                                                                                                                                                                                                                                                  • 5.1.4 Brownian Motion
                                                                                                                                                                                                                                                                                                    • 5.1.5 Internal Energy
                                                                                                                                                                                                                                                                                                      • 5.1.6 Specific Heat Capacity
                                                                                                                                                                                                                                                                                                        • 5.1.7 Specific Latent Heat
                                                                                                                                                                                                                                                                                                        • 5.2 Ideal Gases
                                                                                                                                                                                                                                                                                                          • 5.2.1 The Avogadro Constant
                                                                                                                                                                                                                                                                                                            • 5.2.2 Ideal Gas Equation
                                                                                                                                                                                                                                                                                                              • 5.2.3 Gas Laws
                                                                                                                                                                                                                                                                                                              • 5.3 Kinetic Theory of Gases
                                                                                                                                                                                                                                                                                                                • 5.3.1 Kinetic Theory of Gases
                                                                                                                                                                                                                                                                                                                  • 5.3.2 Kinetic Theory of Gases Equation
                                                                                                                                                                                                                                                                                                                    • 5.3.3 The Boltzmann Constant
                                                                                                                                                                                                                                                                                                                      • 5.3.4 Average Kinetic Energy of a Molecule
                                                                                                                                                                                                                                                                                                                        • 5.3.5 Internal Energy of an Ideal Gas
                                                                                                                                                                                                                                                                                                                        • 5.4 Circular Motion
                                                                                                                                                                                                                                                                                                                          • 5.4.1 Radians
                                                                                                                                                                                                                                                                                                                            • 5.4.2 Time period & Frequency
                                                                                                                                                                                                                                                                                                                              • 5.4.3 Angular Velocity
                                                                                                                                                                                                                                                                                                                                • 5.4.4 Centripetal Force
                                                                                                                                                                                                                                                                                                                                  • 5.4.5 Linear Speed
                                                                                                                                                                                                                                                                                                                                    • 5.4.6 Centripetal Acceleration
                                                                                                                                                                                                                                                                                                                                      • 5.4.7 Investigating Circular Motion
                                                                                                                                                                                                                                                                                                                                      • 5.5 Simple Harmonic Oscillations
                                                                                                                                                                                                                                                                                                                                        • 5.5.1 Describing Oscillations
                                                                                                                                                                                                                                                                                                                                          • 5.5.2 Angular Frequency
                                                                                                                                                                                                                                                                                                                                            • 5.5.3 Conditions for Simple Harmonic Motion
                                                                                                                                                                                                                                                                                                                                              • 5.5.4 Time Period & Frequency
                                                                                                                                                                                                                                                                                                                                                • 5.5.5 Acceleration & Displacement
                                                                                                                                                                                                                                                                                                                                                  • 5.5.6 Velocity
                                                                                                                                                                                                                                                                                                                                                    • 5.5.7 SHM Graphs
                                                                                                                                                                                                                                                                                                                                                    • 5.6 Damping
                                                                                                                                                                                                                                                                                                                                                      • 5.6.1 Energy in SHM
                                                                                                                                                                                                                                                                                                                                                        • 5.6.2 Free & Forced Oscillations
                                                                                                                                                                                                                                                                                                                                                          • 5.6.3 Damping
                                                                                                                                                                                                                                                                                                                                                            • 5.6.4 Resonance
                                                                                                                                                                                                                                                                                                                                                              • 5.6.5 Examples of Forced Oscillations & Resonance
                                                                                                                                                                                                                                                                                                                                                              • 5.7 Gravitational Fields
                                                                                                                                                                                                                                                                                                                                                                • 5.7.1 Gravitational Fields
                                                                                                                                                                                                                                                                                                                                                                  • 5.7.2 Gravitational Field Lines
                                                                                                                                                                                                                                                                                                                                                                    • 5.7.3 Gravitational Field Strength
                                                                                                                                                                                                                                                                                                                                                                      • 5.7.4 Newton's Law of Gravitation
                                                                                                                                                                                                                                                                                                                                                                      • 5.8 Planetary Motion
                                                                                                                                                                                                                                                                                                                                                                        • 5.8.1 Kepler's Three Laws of Motion
                                                                                                                                                                                                                                                                                                                                                                          • 5.8.2 Circular Orbits in Gravitational Fields
                                                                                                                                                                                                                                                                                                                                                                            • 5.8.3 Geostationary Orbits
                                                                                                                                                                                                                                                                                                                                                                            • 5.9 Gravitational Potential & Energy
                                                                                                                                                                                                                                                                                                                                                                              • 5.9.1 Gravitational Potential
                                                                                                                                                                                                                                                                                                                                                                                • 5.9.2 Calculating Gravitational Potential
                                                                                                                                                                                                                                                                                                                                                                                  • 5.9.3 Force-Distance Graph
                                                                                                                                                                                                                                                                                                                                                                                    • 5.9.4 Gravitational Potential Energy
                                                                                                                                                                                                                                                                                                                                                                                      • 5.9.5 Escape Velocity
                                                                                                                                                                                                                                                                                                                                                                                      • 5.10 Stellar Evolution
                                                                                                                                                                                                                                                                                                                                                                                        • 5.10.1 Definitions of Astronomical Objects
                                                                                                                                                                                                                                                                                                                                                                                          • 5.10.2 Star Formation
                                                                                                                                                                                                                                                                                                                                                                                            • 5.10.3 Evolution of a Low-Mass Star
                                                                                                                                                                                                                                                                                                                                                                                              • 5.10.4 White Dwarfs & the Chandrasekhar Limit
                                                                                                                                                                                                                                                                                                                                                                                                • 5.10.5 Evolution of a Massive Star
                                                                                                                                                                                                                                                                                                                                                                                                  • 5.10.6 Neutron Stars & Black Holes
                                                                                                                                                                                                                                                                                                                                                                                                    • 5.10.7 The Hertzsprung - Russell (HR) Diagram
                                                                                                                                                                                                                                                                                                                                                                                                    • 5.11 EM Radiation From Stars
                                                                                                                                                                                                                                                                                                                                                                                                      • 5.11.1 Electron Energy Levels
                                                                                                                                                                                                                                                                                                                                                                                                        • 5.11.2 Emission Spectra & Energy Levels
                                                                                                                                                                                                                                                                                                                                                                                                          • 5.11.3 Identifying Elements Within Stars Using Spectral Lines
                                                                                                                                                                                                                                                                                                                                                                                                            • 5.11.4 Continuous, Emission Line & Absorption Line Spectrum
                                                                                                                                                                                                                                                                                                                                                                                                              • 5.11.5 Transmission Diffraction Grating
                                                                                                                                                                                                                                                                                                                                                                                                                • 5.11.6 Wein's Displacement Law
                                                                                                                                                                                                                                                                                                                                                                                                                  • 5.11.7 Stefan's Law
                                                                                                                                                                                                                                                                                                                                                                                                                    • 5.11.8 Estimating the Radius of Stars
                                                                                                                                                                                                                                                                                                                                                                                                                    • 5.12 Cosmology
                                                                                                                                                                                                                                                                                                                                                                                                                      • 5.12.1 Units for Astronomical Distances
                                                                                                                                                                                                                                                                                                                                                                                                                        • 5.12.2 Stellar Parallax
                                                                                                                                                                                                                                                                                                                                                                                                                          • 5.12.3 The Cosmological Principle
                                                                                                                                                                                                                                                                                                                                                                                                                            • 5.12.4 The Doppler Effect
                                                                                                                                                                                                                                                                                                                                                                                                                              • 5.12.5 Hubble's Law
                                                                                                                                                                                                                                                                                                                                                                                                                                • 5.12.6 An Expanding Universe
                                                                                                                                                                                                                                                                                                                                                                                                                                  • 5.12.7 The Big Bang
                                                                                                                                                                                                                                                                                                                                                                                                                                    • 5.12.8 The Age of the Universe
                                                                                                                                                                                                                                                                                                                                                                                                                                      • 5.12.9 Evolution of the Universe
                                                                                                                                                                                                                                                                                                                                                                                                                                        • 5.12.10 Dark Energy & Dark Matter
                                                                                                                                                                                                                                                                                                                                                                                                                                      • 6. Particles & Medical Physics
                                                                                                                                                                                                                                                                                                                                                                                                                                        • 6.1 Capacitors in Circuits
                                                                                                                                                                                                                                                                                                                                                                                                                                          • 6.1.1 Capacitance
                                                                                                                                                                                                                                                                                                                                                                                                                                            • 6.1.2 Electron Flow in Charging & Discharging
                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.1.3 Capacitors in Series & Parallel Circuits
                                                                                                                                                                                                                                                                                                                                                                                                                                                • 6.1.5 Energy Stores by a Capacitor
                                                                                                                                                                                                                                                                                                                                                                                                                                                • 6.2 Charging & Discharging Capacitors
                                                                                                                                                                                                                                                                                                                                                                                                                                                  • 6.2.1 Capacitor Charge & Discharge
                                                                                                                                                                                                                                                                                                                                                                                                                                                    • 6.2.2 Capacitor Charge & Discharge Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • 6.2.3 Modelling Capacitor Discharge
                                                                                                                                                                                                                                                                                                                                                                                                                                                      • 6.3 Electric Fields
                                                                                                                                                                                                                                                                                                                                                                                                                                                        • 6.3.1 Electric Fields
                                                                                                                                                                                                                                                                                                                                                                                                                                                          • 6.3.2 Electric Field Lines
                                                                                                                                                                                                                                                                                                                                                                                                                                                            • 6.3.3 Electric Field Strength
                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.3.4 Coulomb's Law
                                                                                                                                                                                                                                                                                                                                                                                                                                                                • 6.3.5 Electric Field Strength of a Point Charge
                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • 6.3.6 Electric vs Gravitational Fields
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • 6.3.7 Motion of Charged Particles in an E Field
                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • 6.4 Electric Potential & Energy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • 6.4.1 Electric Potential
                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • 6.4.2 Calculating Electric Potential
                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • 6.4.3 Capacitance of an Isolated Sphere
                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • 6.4.4 Force-Distance Graph
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.4.5 Electric Potential Energy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.5 Magnetic Fields
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • 6.5.1 Magnetic Fields
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • 6.5.2 Magnetic Fields Lines
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • 6.5.3 Fleming's Left-Hand Rule
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • 6.5.4 Force on a Current-Carrying Conductor
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • 6.5.5 Magnetic Flux Density
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • 6.5.6 Force on a Moving Charge
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • 6.5.7 Motion of Charged Particles in a B Field
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.5.8 Velocity Selector
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.6 Electromagnetic Induction
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • 6.6.1 Magnetic Flux
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • 6.6.2 Magnetic Flux Linkage
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • 6.6.3 Faraday's & Lenz's Laws
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • 6.6.4 Calculating Induced E.m.f
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • 6.6.5 A.C Generator
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • 6.6.6 Transformers
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • 6.7 The Nuclear Atom
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • 6.7.1 Alpha Particle Scattering Experiment
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.7.2 Atomic Structure
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • 6.7.3 AZX Notation & Isotopes
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • 6.7.4 The Strong Nuclear Force
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • 6.7.5 Nuclear Radius & Density
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • 6.8 Fundamental Particles
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • 6.8.1 Antimatter
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • 6.8.2 Hadrons & Leptons
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • 6.8.3 The Quark Model
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • 6.8.4 Beta Minus & Beta Plus Decay
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.8.5 Quarks in Particle Decay Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.9 Radioactivity
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • 6.9.1 Radioactive Decay
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • 6.9.2 Alpha, Beta & Gamma Radiation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • 6.9.3 Alpha & Beta Decay Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • 6.9.4 Activity & The Decay Constant
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • 6.9.5 Half-Life
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • 6.9.6 Radioactive Decay Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • 6.9.7 Modelling Radioactive Decay
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.9.8 Radioactive Dating
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.10 Nuclear Fission & Fusion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • 6.10.1 Energy & Mass Equation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • 6.10.2 Particle-Antiparticle Pairs
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • 6.10.3 Mass Defect & Binding Energy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • 6.10.4 Calculating Binding Energy
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • 6.10.5 Nuclear Fission
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • 6.10.6 Nuclear Fission Reactor & Waste
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • 6.10.7 Nuclear Fusion
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.10.8 Balancing Nuclear Equations
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.11 X-rays
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • 6.11.1 X-Ray Tube
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • 6.11.2 X-ray Attenuation Mechanisms
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • 6.11.3 Calculating X-ray Attenuation
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • 6.11.4 X-ray Imaging
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • 6.11.5 CAT Scans
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • 6.12 Diagnostic Methods in Medicine
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          • 6.12.1 Medical Tracers
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            • 6.12.2 Gamma Camera
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.12.3 PET Scans
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              • 6.13 Ultrasound
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                • 6.13.1 Ultrasound
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  • 6.13.2 The Piezoelectric Effect & the Ultrasound Transducer
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    • 6.13.3 Acoustic Impedance
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      • 6.13.4 Reflection of Ultrasound
                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                        • 6.13.5 Doppler Effect in Ultrasound


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