Source: https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-9-1-doppler-effect [Revision notes](https://senecalearning.com/en-gb/revision-notes.md) › [IB Diploma](https://senecalearning.com/en-gb/revision-notes/ib-diploma.md) › [Physics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics.md) › [Physics: IB Diploma Higher Level](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level.md) › Doppler Effect # Doppler Effect Physics: IB Diploma Higher Level, topic 3.9.1 ## Doppler Effect The Doppler effect, applied to electromagnetic radiation, is very useful in astrophysics and cosmology. ### Formula ![Formula](https://image-v2.cdn.app.senecalearning.com/2018-09/20334b5d-1b76-4e02-ba69-a21455d2e814/trigonometry-calculator-maths-.jpg) - For electromagnetic radiation, the following formula holds providing that the velocity of the source of the radiation is significantly lower than the speed of light. - $$\frac{\Delta f}{f} \approx \frac{v}{c}$$ - Where f is the frequency of light, and v is the speed of the emitting source. ### Moving star ![Moving star](https://image-v2.cdn.app.senecalearning.com/courseImages/physics/AQA%20New%20Modules/8.1.1/large%20star.jpg) - For a single star moving away from the Earth at a constant speed, the light from the star decreases in frequency. - If the star is moving away at 0.01c (one hundredth of the speed of light), then the frequency of any given wavelength (typically one of the hydrogen lines) will be lower by 1%. ## Binary Stars Binary stars are systems where two similar stars orbit around their combined centre of gravity. ### Spectral line splitting ![Spectral line splitting](https://image-v2.cdn.app.senecalearning.com/2018-10/b022d107-906f-4e07-9385-4367bc0e6812/binary-star-system.png) - In a binary system, in which two stars orbit around a common centre of gravity, then the spectral line splits into two. ### Explanation ![Explanation](https://image-v2.cdn.app.senecalearning.com/2018-04/245c7596-7d84-4f2a-bee6-80961a1e1291/shutterstock_276228476.jpg) - This is explained by one star moving away from the Earth slightly less quickly and the other star moving away from the Earth slightly more quickly than in the single star case. ### Orbital velocity ![Orbital velocity](https://image-v2.cdn.app.senecalearning.com/2018-09/76cfa754-9e3b-480a-b91c-7dcd82fdd16c/solar-system-earth-sun-orbit-.jpg) - The orbital velocity can be found by finding the recession speeds of the two stars (the speed the stars are moving away from us) and finding the difference. - Half of that difference is the orbital speed of the star (assuming the two stars to be identical). ## Galaxies and Quasars Galaxies are vast collections of stars in space. Quasars are very massive, high energy objects found in deep space. ### Cosmological redshift ![Cosmological redshift](https://image-v2.cdn.app.senecalearning.com/2018-03/a382cdac-83a5-44fe-892a-cfe863058f79/shutterstock_557777728.jpg) - For galaxies and quasars, there is also a cosmological redshift, z, which is due to the expansion of the Universe itself. - For low velocities: - $$ z = \frac{v}{c}$$ ### Very distant objects ![Very distant objects](https://image-v2.cdn.app.senecalearning.com/2018-08/260e9340-96bc-4757-a576-f1c670fd8afc/andromeda-galaxy-755442_1280.jpg) - Very distant galaxies and quasars can have enormous z-values which can only really be explained by general relativity calculations. ## Test yourself on Doppler Effect - What is the formula for the Doppler shift? - If two stars in a binary system are identical what is the orbital speed? - Which of these statements are true about binary stars? - What is a binary star system? - What is the equation for the expansion factor due to cosmological redshift? [Practise this topic for free](https://app.senecalearning.com/classroom/course/d1080336-c86a-41e9-bd82-37d8d6e9f104/section/a8b704fc-1b25-4ace-ab51-5b1172365ce1/session) - Previous topic: [3.8.4 End of Topic Test - Diffraction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-8-4-end-of-topic-test-diffraction.md) - Next topic: [4.1.1 Circular Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-1-1-circular-motion.md) ## Physics: IB Diploma Higher Level contents ### 1 Space, Time & Motion - 1.1 Motion - [1.1.1 Motion Basics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-1-1-motion-basics.md) - [1.1.2 Graphs of Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-1-2-graphs-of-motion.md) - [1.1.3 Uniform Acceleration Equations](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-1-3-uniform-acceleration-equations.md) - [1.1.4 Projectile Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-1-4-projectile-motion.md) - [1.1.5 Bouncing Ball Example](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-1-5-bouncing-ball-example.md) - 1.2 Forces - [1.2.1 Friction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-2-1-friction.md) - [1.2.2 Terminal Speed](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-2-2-terminal-speed.md) - [1.2.3 Newton's Laws](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-2-3-newtons-laws.md) - [1.2.4 Exam-Style Question - Forces](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-2-4-exam-style-question-forces.md) - [1.2.5 End of Topic Test - Newton's Third Law](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-2-5-end-of-topic-test-newtons-third-law.md) - 1.3 Momentum & Impulse - [1.3.1 Momentum](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-3-1-momentum.md) - [1.3.2 Momentum 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-3-2-momentum-2.md) - [1.3.3 End of Topic Test - Newton's Laws & Momentum](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-3-3-end-of-topic-test-newtons-laws-and-momentum.md) - 1.4 Work, Energy & Power - [1.4.1 Work & Energy](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-4-1-work-and-energy.md) - [1.4.2 Conservation of Energy](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-4-2-conservation-of-energy.md) - [1.4.3 Power & Efficiency](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-4-3-power-and-efficiency.md) - [1.4.4 IB Multiple Choice- Work, Energy & Power](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/1-4-4-ib-multiple-choice-work-energy-and-power.md) ### 2 The Particulate Nature of Matter - 2.1 Thermal Concepts - [2.1.1 Molecular Kinetic Theory Model](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-1-molecular-kinetic-theory-model.md) - [2.1.2 Molecular Kinetic Theory Model 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-2-molecular-kinetic-theory-model-2.md) - [2.1.3 Thermal Energy Transfer](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-3-thermal-energy-transfer.md) - [2.1.4 Thermal Energy Transfer Experiments](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-4-thermal-energy-transfer-experiments.md) - [2.1.5 Thermal Equilibrium](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-5-thermal-equilibrium.md) - [2.1.6 Thermal Conductivity](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-6-thermal-conductivity.md) - [2.1.7 Heat Energy Transfer](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-1-7-heat-energy-transfer.md) - 2.2 Modelling a Gas - [2.2.1 Ideal Gases](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-2-1-ideal-gases.md) - [2.2.2 Ideal Gases 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-2-2-ideal-gases-2.md) - [2.2.3 End of Topic Test - Thermal Energy & Ideal Gases](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-2-3-end-of-topic-test-thermal-energy-and-ideal-gases.md) - [2.2.4 Exam-Style Question - Ideal Gases](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/2-2-4-exam-style-question-ideal-gases.md) ### 3 Wave Behaviour - 3.1 Oscillations - [3.1.1 Progressive Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-1-1-progressive-waves.md) - [3.1.2 Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-1-2-simple-harmonic-motion.md) - 3.2 Travelling Waves - [3.2.1 Wave Speed & Phase Difference](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-2-1-wave-speed-and-phase-difference.md) - [3.2.2 Longitudinal & Transverse Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-2-2-longitudinal-and-transverse-waves.md) - [3.2.3 Electromagnetic Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-2-3-electromagnetic-waves.md) - [3.2.4 Electromagnetic Waves 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-2-4-electromagnetic-waves-2.md) - [3.2.5 Sound Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-2-5-sound-waves.md) - 3.3 Wave Characteristics - [3.3.1 Polarisation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-3-1-polarisation.md) - 3.4 Wave Behaviour - [3.4.1 Reflection & Absorption](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-4-1-reflection-and-absorption.md) - [3.4.2 Reflection of Light](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-4-2-reflection-of-light.md) - [3.4.3 Refraction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-4-3-refraction.md) - [3.4.4 Refractive index](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-4-4-refractive-index.md) - 3.5 Standing Waves - [3.5.1 Standing Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-5-1-standing-waves.md) - [3.5.2 Standing Waves 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-5-2-standing-waves-2.md) - [3.5.3 End of Topic Test - Standing Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-5-3-end-of-topic-test-standing-waves.md) - [3.5.4 IB Multiple Choice - Waves](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-5-4-ib-multiple-choice-waves.md) - 3.6 Simple Harmonic Motion - [3.6.1 Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-6-1-simple-harmonic-motion.md) - [3.6.2 Simple Harmonic Systems](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-6-2-simple-harmonic-systems.md) - [3.6.3 Energy in Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-6-3-energy-in-simple-harmonic-motion.md) - [3.6.4 End of Topic Test - Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-6-4-end-of-topic-test-simple-harmonic-motion.md) - [3.6.5 End of Topic Test - Simple Harmonic Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-6-5-end-of-topic-test-simple-harmonic-motion.md) - 3.7 Single Slit Diffraction - [3.7.1 Diffraction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-7-1-diffraction.md) - 3.8 Interference - [3.8.1 Interference](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-8-1-interference.md) - [3.8.2 Interference 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-8-2-interference-2.md) - [3.8.3 Diffraction Gratings](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-8-3-diffraction-gratings.md) - [3.8.4 End of Topic Test - Diffraction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-8-4-end-of-topic-test-diffraction.md) - 3.9 Doppler Effect - [3.9.1 Doppler Effect](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/3-9-1-doppler-effect.md) ### 4 Fields - 4.1 Circular Motion - [4.1.1 Circular Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-1-1-circular-motion.md) - [4.1.2 Centripetal Force](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-1-2-centripetal-force.md) - [4.1.3 IB Multiple Choice - Circular Motion](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-1-3-ib-multiple-choice-circular-motion.md) - 4.2 Newton's Law of Gravitation - [4.2.1 Newton's Law](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-2-1-newtons-law.md) - [4.2.2 Orbits of Planets & Satellites](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-2-2-orbits-of-planets-and-satellites.md) - [4.2.3 Escape Velocity & Synchronous Orbits](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-2-3-escape-velocity-and-synchronous-orbits.md) - [4.2.4 End of Topic Test - Gravitational Fields](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-2-4-end-of-topic-test-gravitational-fields.md) - 4.3 Fields - [4.3.1 Fields](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-1-fields.md) - [4.3.2 Gravitational Field Strength](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-2-gravitational-field-strength.md) - [4.3.3 Gravitational Potential](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-3-gravitational-potential.md) - [4.3.4 Electric Field Strength](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-4-electric-field-strength.md) - [4.3.5 Electrostatic & Gravitational Forces](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-5-electrostatic-and-gravitational-forces.md) - [4.3.6 Electric Potential](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-6-electric-potential.md) - [4.3.7 IB Multiple Choice - Gravitational Fields](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-3-7-ib-multiple-choice-gravitational-fields.md) - 4.4 Fields at Work - [4.4.1 Radial Field Strength](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-1-radial-field-strength.md) - [4.4.2 Orbits of Planets & Satellites](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-2-orbits-of-planets-and-satellites.md) - [4.4.3 Escape Velocity & Synchronous Orbits](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-3-escape-velocity-and-synchronous-orbits.md) - [4.4.4 End of Topic Test - Gravitational Fields](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-4-end-of-topic-test-gravitational-fields.md) - [4.4.5 Uniform Electric Fields](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-5-uniform-electric-fields.md) - [4.4.6 IB Multiple Choice - Electric Field & Potential](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-4-6-ib-multiple-choice-electric-field-and-potential.md) - 4.5 Electric Fields - [4.5.1 Electric Charge](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-1-electric-charge.md) - [4.5.2 Conservation of Charge](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-2-conservation-of-charge.md) - [4.5.3 Coulomb's Law](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-3-coulombs-law.md) - [4.5.4 Current](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-4-current.md) - [4.5.5 Potential Difference](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-5-potential-difference.md) - [4.5.6 IB Multiple Choice - Electric Charge](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-5-6-ib-multiple-choice-electric-charge.md) - 4.6 Magnetic Effect of Electric Currents - [4.6.1 Magnetism](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-6-1-magnetism.md) - [4.6.2 Magnetic Field](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-6-2-magnetic-field.md) - [4.6.3 Magnetic Force](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-6-3-magnetic-force.md) - [4.6.4 Moving Charges in a Magnetic Field](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-6-4-moving-charges-in-a-magnetic-field.md) - [4.6.5 IB Multiple Choice - Magnetism](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-6-5-ib-multiple-choice-magnetism.md) - 4.7 Heating Effect of Currents - [4.7.1 Circuits](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-7-1-circuits.md) - [4.7.2 Resistance](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-7-2-resistance.md) - [4.7.3 Power and Conservation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-7-3-power-and-conservation.md) - [4.7.4 IB Multiple Choice - DC Circuits](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-7-4-ib-multiple-choice-dc-circuits.md) - 4.8 Electromagnetic Induction - [4.8.1 Electromagnetic Induction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-8-1-electromagnetic-induction.md) - [4.8.2 Electromagnetic Induction 2](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-8-2-electromagnetic-induction-2.md) - [4.8.3 Magnetic Flux & Flux Linkage](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-8-3-magnetic-flux-and-flux-linkage.md) - [4.8.4 End of Topic Test - Electromagnetic Induction](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-8-4-end-of-topic-test-electromagnetic-induction.md) - 4.9 Power Generation & Transmission - [4.9.1 Alternating Currents](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-9-1-alternating-currents.md) - [4.9.2 Operation of a Transformer](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-9-2-operation-of-a-transformer.md) - 4.10 Capacitance - [4.10.1 Capacitance](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-1-capacitance.md) - [4.10.2 Parallel Plate Capacitor](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-2-parallel-plate-capacitor.md) - [4.10.3 Energy Stored by a Capacitor](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-3-energy-stored-by-a-capacitor.md) - [4.10.4 Capacitor Discharge](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-4-capacitor-discharge.md) - [4.10.5 Capacitor Charge](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-5-capacitor-charge.md) - [4.10.6 Magnetic Flux Density](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-6-magnetic-flux-density.md) - [4.10.7 End of Topic Test - Capacitance & Flux Density](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/4-10-7-end-of-topic-test-capacitance-and-flux-density.md) ### 5 Nuclear & Quantum Physics - 5.1 Discrete Energy & Radioactivity - [5.1.1 Atomic Spectra](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-1-atomic-spectra.md) - [5.1.2 Atomic Structure](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-2-atomic-structure.md) - [5.1.3 Photons](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-3-photons.md) - [5.1.4 Discrete Energy Levels](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-4-discrete-energy-levels.md) - [5.1.5 Alpha, Beta & Gamma Radiation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-5-alpha-beta-and-gamma-radiation.md) - [5.1.6 Scientific Practices - Unstable Nuclei](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-6-scientific-practices-unstable-nuclei.md) - [5.1.7 Radioactive Decay](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-7-radioactive-decay.md) - [5.1.8 IB Multiple Choice - Atomic Physics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-1-8-ib-multiple-choice-atomic-physics.md) - 5.2 Nuclear Reactions - [5.2.1 Mass & Energy](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-2-1-mass-and-energy.md) - [5.2.2 Nuclear Fission](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-2-2-nuclear-fission.md) - 5.3 The Interaction of Matter with Radiation - [5.3.1 Particles, Antiparticles & Photons](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-1-particles-antiparticles-and-photons.md) - [5.3.2 Particle Interactions](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-2-particle-interactions.md) - [5.3.3 Classification of Particles](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-3-classification-of-particles.md) - [5.3.4 Wave-Particle Duality](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-4-wave-particle-duality.md) - [5.3.5 Wave Functions & Probability](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-5-wave-functions-and-probability.md) - [5.3.6 IB Multiple Choice - Quantum Physics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-3-6-ib-multiple-choice-quantum-physics.md) - 5.4 Nuclear Physics - [5.4.1 Nuclear Instability & Radioactive Decay](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-4-1-nuclear-instability-and-radioactive-decay.md) - [5.4.2 Nuclear Radius](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-4-2-nuclear-radius.md) - [5.4.3 IB Multiple Choice - Nuclear Physics](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/5-4-3-ib-multiple-choice-nuclear-physics.md) ### 6 Measurements - 6.1 Measurements & Errors - [6.1.1 Fundamental Units](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-1-1-fundamental-units.md) - [6.1.2 SI Prefixes, Standard Form & Converting Units](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-1-2-si-prefixes-standard-form-and-converting-units.md) - [6.1.3 End of Topic Test - Units & Prefixes](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-1-3-end-of-topic-test-units-and-prefixes.md) - 6.2 Uncertainties & Errors - [6.2.1 Limitation of Physical Measurements](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-2-1-limitation-of-physical-measurements.md) - [6.2.2 Uncertainty](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-2-2-uncertainty.md) - [6.2.3 Estimation](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-2-3-estimation.md) - [6.2.4 End of Topic Test - Measurements & Errors](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-2-4-end-of-topic-test-measurements-and-errors.md) - 6.3 Vectors & Scalars - [6.3.1 Scalars & Vectors](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-3-1-scalars-and-vectors.md) - [6.3.2 Vector Problems](https://senecalearning.com/en-gb/revision-notes/ib-diploma/physics/physics-ib-diploma-higher-level/6-3-2-vector-problems.md)