International Baccalaureate · IB Diploma
Physics · SL
Papers, samples and curriculum documents for this course. · Papers, amostras e documentos curriculares deste curso.
Handouts, exercise sheets and slides
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Handouts · Material de apoio · A-Level Physics · Física do A-Level (25)
- 1. Physical quantities and units · 1. Quantidades físicas e unidades
- 2. Kinematics · 2. Cinemática
- 3. Dynamics · 3. Dinâmica
- 4. Forces, density and pressure · 4. Forças, densidade e pressão
- 5. Work, energy and power · 5. Trabalho, energia e potência
- 6. Deformation of solids · 6. Deformação de sólidos
- 7. Waves · 7. Ondas
- 8. Superposition · 8. Superposição
- 9. Electricity · 9. Eletricidade
- 10. D.C. circuits · 10. Circuitos de C.C.
- 11. Particle physics · 11. Física de partículas
- 12. Motion in a circle · 12. Movimento em círculo
- 13. Gravitational fields · 13. Campos gravitacionais
- 14. Temperature · 14. Temperatura
- 15. Ideal gases · 15. Gases ideais
- 16. Thermodynamics · 16. Termodinâmica
- 17. Oscillations · 17. Oscilações
- 18. Electric fields · 18. Campos elétricos
- 19. Capacitance · 19. Capacitância
- 20. Magnetic fields · 20. Campos magnéticos
- 21. Alternating currents · 21. Correntes alternadas
- 22. Quantum physics · 22. Física quântica
- 23. Nuclear physics · 23. Física nuclear
- 24. Medical physics · 24. Física médica
- 25. Astronomy and cosmology · 25. Astronomia e cosmologia
Exercise sheets · Folhas de exercícios · A-Level Physics · Física do A-Level (105)
- 1.1 Physical quantities · 1.1 Quantidades físicas
- 1.2 SI units · 1.2 unidades SI
- 1.3 Errors and uncertainties · 1.3 Erros e incertezas
- 1.4 Scalars and vectors · 1.4 Escalares e vetores
- 2.1 Equations of motion · 2.1 Equações do movimento
- 2.1.1 Describing motion and displacement–time graphs
- 2.1.2 Velocity–time and acceleration–time graphs
- 2.1.3 The equations of uniformly accelerated motion
- 2.1.4 Free fall and measuring g
- 2.1.5 Projectile motion
- 3.1 Momentum and Newton’s laws of motion · 3.1 Momento linear e leis de Newton do movimento
- 3.1.1 Resultant force, F = ma, weight and third-law pairs
- 3.2 Non-uniform motion · 3.2 Movimento não uniforme
- 3.3 Linear momentum and its conservation · 3.3 Momento linear e sua conservação
- 3.3.1 Elastic collisions and momentum in two dimensions
- 4.1 Turning effects of forces · 4.1 Efeitos de rotação de forças
- 4.1.1 Centre of gravity, moments at an angle, non-uniform objects
- 4.2 Equilibrium of forces · 4.2 Equilíbrio de forças
- 4.3 Density and pressure · 4.3 Densidade e pressão
- 4.3.1 Upthrust, floating and liquids in a U-tube
- 5.1 Energy conservation · 5.1 Conservação de energia
- 5.1.1 Efficiency, power and P = Fv
- 5.2 Gravitational potential energy and kinetic energy · 5.2 Energia potencial gravitacional e energia cinética
- 5.2.1 Potential energy, kinetic energy and energy transfers
- 6.1 Stress and strain · 6.1 Tensão e deformação
- 6.1.1 Stress, strain and the Young modulus
- 6.2 Elastic and plastic behaviour · 6.2 Comportamento elástico e plástico
- 7.1 Progressive waves · 7.1 Ondas progressivas
- 7.1.1 Phase difference, the oscilloscope and intensity
- 7.2 Transverse and longitudinal waves · 7.2 Ondas transversais e longitudinais
- 7.3 Doppler effect for sound waves · 7.3 Efeito Doppler para ondas sonoras
- 7.4 Electromagnetic spectrum · 7.4 Espectro eletromagnético
- 7.5 Polarisation · 7.5 Polarização
- 8.1 Stationary waves · 8.1 Ondas estacionárias
- 8.2 Diffraction · 8.2 Difração
- 8.3 Interference · 8.3 Interferência
- 8.4 The diffraction grating · 8.4 A rede de difração
- 9.1 Electric current · 9.1 Corrente elétrica
- 9.2 Potential difference and power · 9.2 Diferença de potencial e potência
- 9.3 Resistance and resistivity · 9.3 Resistência e resistividade
- 9.3.1 Resistivity, thermistors and LDRs
- 10.1 Practical circuits · 10.1 Circuitos práticos
- 10.1.1 Internal resistance and the V-I graph
- 10.2 Kirchhoff’s laws · 10.2 Leis de Kirchhoff
- 10.2.1 Solving circuits with Kirchhoff's laws
- 10.3 Potential dividers · 10.3 Divisores de potencial
- 10.3.1 The potentiometer and the null method
- 11.1 Atoms, nuclei and radiation · 11.1 Átomos, núcleos e radiação
- 11.1.1 Decay equations, antiparticles and neutrinos
- 11.1.2 The three radiations and their energies
- 11.2 Fundamental particles · 11.2 Parteículas fundamentais
- 11.2.1 Beta decay at the quark level, and leptons
- 12.1 Kinematics of uniform circular motion · 12.1 Cinemática do movimento circular uniforme
- 12.2 Centripetal acceleration · 12.2 Aceleração centrípeta
- 13.1 Gravitational field · 13.1 Campo gravitacional
- 13.2 Gravitational force between point masses · 13.2 Força gravitacional entre massas pontuais
- 13.3 Gravitational field of a point mass · 13.3 Campo gravitacional de uma massa pontual
- 13.4 Gravitational potential · 13.4 Potencial gravitacional
- 14.1 Thermal equilibrium · 14.1 Equilíbrio térmico
- 14.2 Temperature scales · 14.2 Escalas de temperatura
- 14.3 Specific heat capacity and specific latent heat · 14.3 Capacidade térmica específica e calor latente específico
- 15.1 The mole · 15.1 O mol
- 15.2 Equation of state · 15.2 Equação de estado
- 15.3 Kinetic theory of gases · 15.3 Teoria cinética dos gases
- 15.3.1 Deriving pV = one third Nm mean-square speed, and what it says about temperature
- 16.1 Internal energy · 16.1 Energia interna
- 16.2 The first law of thermodynamics · 16.2 Primeiro princípio da termodinâmica
- 17.1 Simple harmonic oscillations · 17.1 Oscilações harmônicas simples
- 17.1.1 Proving a system is simple harmonic, and reading phase from a graph
- 17.2 Energy in simple harmonic motion · 17.2 Energia no movimento harmônico simples
- 17.3 Damped and forced oscillations, resonance · 17.3 Oscilações amortecidas e forçadas, ressonância
- 18.1 Electric fields and field lines · 18.1 Campos elétricos e linhas de campo
- 18.2 Uniform electric fields · 18.2 Campos elétricos uniformes
- 18.3 Electric force between point charges · 18.3 Força elétrica entre cargas pontuais
- 18.4 Electric field of a point charge · 18.4 Campo elétrico de uma carga pontual
- 18.5 Electric potential · 18.5 Potencial elétrico
- 19.1 Capacitors and capacitance · 19.1 Capacitores e capacitância
- 19.2 Energy stored in a capacitor · 19.2 Energia armazenada em um capacitor
- 19.3 Discharging a capacitor · 19.3 Descarga de um capacitor
- 20.1 Concept of a magnetic field · 20.1 Conceito de campo magnético
- 20.2 Force on a current-carrying conductor · 20.2 Força em um condutor percorrido por corrente
- 20.3 Force on a moving charge · 20.3 Força em uma carga em movimento
- 20.3.1 The Hall effect, the Hall probe and velocity selection
- 20.4 Magnetic fields due to currents · 20.4 Campos magnéticos devidos a correntes
- 20.5 Electromagnetic induction · 20.5 Indução eletromagnética
- 20.5.1 Induced e.m.f. from a graph: gradients, the rotating coil and Lenz in action
- 21.1 Characteristics of alternating currents · 21.1 Características de correntes alternadas
- 21.2 Rectification and smoothing · 21.2 Retificação e suavização
- 22.1 Energy and momentum of a photon · 22.1 Energia e momento de um fóton
- 22.2 Photoelectric effect · 22.2 Efeito fotoelétrico
- 22.2.1 Explaining photoelectric emission, and the stopping-potential experiment
- 22.3 Wave-particle duality · 22.3 Dualidade onda-partícula
- 22.4 Energy levels in atoms and line spectra · 22.4 Níveis de energia em átomos e espectros de linha
- 23.1 Mass defect and nuclear binding energy · 23.1 Defeito de massa e energia de ligação nuclear
- 23.1.1 The binding-energy curve, and the energy bookkeeping of a nuclear reaction
- 23.2 Radioactive decay · 23.2 Decaimento radioativo
- 23.2.1 Random decay, the exponential law and the log graph
- 24.1 Production and use of ultrasound · 24.1 Produção e uso de ultrassom
- 24.1.1 Ultrasound scanning: pulse, echo and image
- 24.2 Production and use of X-rays · 24.2 Produção e uso de raios-X
- 24.2.1 Intensity against hardness, attenuation through layers, and sharpness against contrast
- 24.3 PET scanning · 24.3 escaneamento PET
- 25.1 Standard candles · 25.1 Velas padrão
- 25.2 Stellar radii · 25.2 Raios estelares
- 25.3 Hubble’s law and the Big Bang theory · 25.3 Lei de Hubble e teoria do Big Bang
Presentation slides · Slides de apresentação · A-Level Physics · Física do A-Level (25)
- 1. Physical quantities and units · 1. Quantidades físicas e unidades
- 2. Kinematics · 2. Cinemática
- 3. Dynamics · 3. Dinâmica
- 4. Forces, density and pressure · 4. Forças, densidade e pressão
- 5. Work, energy and power · 5. Trabalho, energia e potência
- 6. Deformation of solids · 6. Deformação de sólidos
- 7. Waves · 7. Ondas
- 8. Superposition · 8. Superposição
- 9. Electricity · 9. Eletricidade
- 10. D.C. circuits · 10. Circuitos de C.C.
- 11. Particle physics · 11. Física de partículas
- 12. Motion in a circle · 12. Movimento em círculo
- 13. Gravitational fields · 13. Campos gravitacionais
- 14. Temperature · 14. Temperatura
- 15. Ideal gases · 15. Gases ideais
- 16. Thermodynamics · 16. Termodinâmica
- 17. Oscillations · 17. Oscilações
- 18. Electric fields · 18. Campos elétricos
- 19. Capacitance · 19. Capacitância
- 20. Magnetic fields · 20. Campos magnéticos
- 21. Alternating currents · 21. Correntes alternadas
- 22. Quantum physics · 22. Física quântica
- 23. Nuclear physics · 23. Física nuclear
- 24. Medical physics · 24. Física médica
- 25. Astronomy and cosmology · 25. Astronomia e cosmologia
Course units and learning goals · Unidades do curso e objetivos de aprendizagem
These lessons teach selected course objectives. Check the remaining coverage gaps; the material is not a complete preparation programme. · Estas aulas ensinam objetivos selecionados do curso. Verifique as lacunas de cobertura restantes; o material não é um programa completo de preparação.
A.1 · Kinematics
- Rate of change of displacement.
- The gradient of a displacement-time graph is velocity. The area under a velocity-time graph gives displacement. A constant-acceleration formula is valid only when its assumption is justified.
- Choose a positive direction and state it. Use a light gate or video with a known scale and frame interval for repeatable motion measurements. Avoid assuming hand timing is exact over very short intervals.
- velocity
- Rate of change of displacement
- acceleration
- Rate of change of velocity
A.2 · Forces and momentum
- Mass multiplied by velocity.
- Impulse equals momentum change. Increasing stopping time for the same momentum change reduces average force. Identify external forces before applying momentum conservation.
- Draw a free-body diagram containing only forces on the selected object. For spring measurements, add loads in steps within the elastic range and measure extension from the unloaded position.
- momentum
- Mass multiplied by velocity
- resultant force
- The vector sum of forces on an object
A.3 · Work, energy and power
- Energy transferred per unit time.
- Define the system and useful output before calculating efficiency. Doubling speed quadruples kinetic energy at constant mass. Power describes transfer per time, not total energy.
- Measure a lifting height and load, time the lift, and record electrical input with suitable instruments. Repeat trials and account for heating or friction as transfers, not missing energy.
- power · potência
- Energy transferred per unit time
- efficiency · eficiência
- Useful output divided by total input
B.1 · Thermal energy transfers
- Energy per mass per temperature rise.
- Temperature relates to particle motion in a model; internal energy includes kinetic and potential contributions. During a change of state, energy can change particle arrangements rather than temperature.
- Measure mass, electrical input and temperature change for an insulated block. Ensure the temperature sensor has good contact, allow time for equilibration, and consider energy transferred to the surroundings.
- specific heat capacity
- Energy per mass per temperature rise
- latent heat · calor latente
- Energy associated with a change of state
B.2 · Greenhouse effect
- Actions addressing causes of environmental change.
- Distinguish mitigation, which addresses drivers, from adaptation, which reduces harm from impacts. A policy assessment needs evidence about effectiveness, cost, equity and uncertainty; one criterion is not the entire decision.
- Compare multi-year data using consistent baselines. State the region, timescale and uncertainty. At HL, connect a management decision to law, economics and ethics rather than treating these lenses as extra definitions only.
- mitigation
- Actions addressing causes of environmental change
- adaptation
- Actions reducing harm from environmental impacts
B.3 · Gas laws
- Temperature on the kelvin scale.
- At fixed amount and volume, pressure is proportional to kelvin temperature. At fixed temperature and amount, pressure is inversely proportional to volume. State which quantities are fixed before choosing a relationship.
- Use approved apparatus with a temperature range and pressure limit set by the teacher. Allow thermal equilibrium and record pressure against kelvin temperature. Never heat an improvised sealed vessel.
- absolute temperature
- Temperature on the kelvin scale
- ideal gas
- A gas model with specified simplifying assumptions
B.5 · Current and circuits
- Rate of flow of charge.
- Current is the same through components in series. Potential differences add around the series path. In parallel, branches share the same potential difference, while branch currents sum at a junction.
- Place an ammeter in series and a voltmeter in parallel. For an I-V investigation, change voltage in steps, reverse polarity when appropriate and limit current to reduce heating.
- current · corrente
- Rate of flow of charge
- potential difference
- Energy transferred per unit charge
C.1 · Simple harmonic motion
- A large response to periodic forcing near a natural frequency.
- Velocity is greatest near equilibrium for ideal SHM, while acceleration magnitude is greatest at extreme displacement. Resonance can occur near the natural frequency under periodic driving, with amplitude limited by damping.
- Measure time for several complete oscillations and divide. Define a cycle consistently and use a small displacement when the model requires it. Keep pendulum paths clear and record damping effects rather than assuming perfect motion.
- resonance · ressonância
- A large response to periodic forcing near a natural frequency
- damping
- Energy transfer out of an oscillating system
C.2 · Wave model
- Distance between successive points in phase.
- At a boundary, frequency stays fixed by the source. A change of speed changes wavelength. Refraction follows from speed differences; angles are measured from the normal.
- Measure several wavelengths and divide to reduce fractional reading uncertainty. Use a ray box with a normal drawn at the boundary. Keep the beam away from eyes and record incident and refracted angles clearly.
- wavelength · comprimento de onda
- Distance between successive points in phase
- frequency · frequência
- Number of oscillations per unit time
C.3 · Wave phenomena
- Distance between successive points in phase.
- At a boundary, frequency stays fixed by the source. A change of speed changes wavelength. Refraction follows from speed differences; angles are measured from the normal.
- Measure several wavelengths and divide to reduce fractional reading uncertainty. Use a ray box with a normal drawn at the boundary. Keep the beam away from eyes and record incident and refracted angles clearly.
- wavelength · comprimento de onda
- Distance between successive points in phase
- frequency · frequência
- Number of oscillations per unit time
C.4 · Standing waves and resonance
- A large response to periodic forcing near a natural frequency.
- Velocity is greatest near equilibrium for ideal SHM, while acceleration magnitude is greatest at extreme displacement. Resonance can occur near the natural frequency under periodic driving, with amplitude limited by damping.
- Measure time for several complete oscillations and divide. Define a cycle consistently and use a small displacement when the model requires it. Keep pendulum paths clear and record damping effects rather than assuming perfect motion.
- resonance · ressonância
- A large response to periodic forcing near a natural frequency
- damping
- Energy transfer out of an oscillating system
C.5 · Doppler effect
- Shift of an identified line toward longer wavelength.
- Compare a identified line with its laboratory rest wavelength. Use z = (observed−rest)/rest, then v approximately cz in the stated low-speed model. Do not apply this approximation without checking the regime or treating a cosmological redshift as a simple exact velocity.
- Use attributed spectra with calibration and line identification. Compare several lines for a consistent shift. State uncertainty and distinguish relative line-of-sight motion from an unmeasured transverse component.
- redshift
- Shift of an identified line toward longer wavelength
- rest wavelength
- Wavelength of the line measured with no relative source motion
D.1 · Gravitational fields
- A description of gravitational force per unit mass.
- For a point mass or outside a spherical mass, field strength follows an inverse-square distance dependence. Use distance from the centre, not height above the surface alone.
- State the circular-orbit approximation and ignore atmospheric drag only when justified. Draw the force toward the central body and velocity tangential to the orbit. Do not add an outward force merely because the path is circular.
- gravitational field
- A description of gravitational force per unit mass
- centripetal force
- Net force toward the centre of a curved path
D.2 · Electric and magnetic fields
- Electric force per unit positive test charge.
- In a uniform field between ideal parallel plates, E = V/d away from edge effects. The force is F = qE, so its direction reverses for a negative charge. Coulomb force between ideal point charges decreases with separation squared.
- Sketch labelled plate polarities, field arrows and the charge before calculating. Convert separation to metres. In school, use simulations or approved low-voltage electrostatic models rather than exposed high-voltage equipment.
- electric field strength
- Electric force per unit positive test charge
- test charge
- A small charge used to probe an electric field
D.3 · Motion in electromagnetic fields
- Force due to a magnetic field on a moving charge or current.
- Equate magnetic force with mv²/r to obtain r = mv/(|q|B) for perpendicular motion. A stronger field makes a smaller radius at fixed momentum. Parallel entry gives zero magnetic force in this model.
- Draw velocity, field and force as separate arrows using stated into/out-of-page conventions. Use supplied beam data or a simulation. Do not treat a current-carrying wire direction as identical to electron-motion direction.
- magnetic force
- Force due to a magnetic field on a moving charge or current
- momentum
- Mass multiplied by velocity in the classical model
E.1 · Structure of the atom
- Wavelength pattern of radiation emitted by a source.
- An emitted photon corresponds to a transition to a lower energy level. Absorption requires a compatible energy difference. Rutherford scattering supported a small dense nucleus, but that experiment alone did not establish the complete quantum model.
- Read a labelled energy-level diagram before calculating. Keep joules and electronvolts distinct and use the given constants. Compare attributed spectra at a common wavelength scale and avoid looking at unsafe light sources.
- emission spectrum
- Wavelength pattern of radiation emitted by a source
- energy level
- An allowed energy state in a model
E.3 · Radioactive decay
- Time for activity or undecayed population to halve.
- Subtract background counts measured over the same time interval. Distinguish irradiation from contamination. Shielding, distance and reduced exposure time can reduce risk under a school-controlled procedure.
- Use teacher-managed sources and the school radiation rules. Record count duration and repeat background measurements. Do not extrapolate a half-life from one nucleus or from uncorrected readings.
- half-life
- Time for activity or undecayed population to halve
- background radiation
- Radiation measured apart from the investigated source
E.4 · Fission
- Splitting of a heavy nucleus into lighter nuclei.
- Separate conservation of nucleon number from conservation of total energy. Released neutrons may initiate further fissions, escape or be absorbed. A controlled reactor and an uncontrolled chain reaction have different neutron-management conditions.
- Balance a supplied nuclear equation, use the specified mass data and identify the system. Analyse models or published reactor data; this is not a school attempt to produce fission or handle reactor materials.
- fission
- Splitting of a heavy nucleus into lighter nuclei
- chain reaction
- A sequence in which products initiate further events
E.5 · Fusion and stars
- Total emitted power.
- For isotropic emission without absorption, flux follows an inverse-square relationship with distance. Observed brightness alone therefore cannot establish luminosity.
- Keep distance units consistent, identify which quantities are intrinsic to the star, and distinguish observational evidence from a model of stellar evolution. Do not confuse a red giant stage with every possible final remnant.
- luminosity · luminosidade
- Total emitted power
- flux
- Power received per unit area
Practical · Experimental programme
- A quantified limitation on a measured result.
- For a product or quotient, adding fractional uncertainties is a common maximum-uncertainty approximation. For a difference, add absolute uncertainties. A nonzero intercept can reveal an offset or an incomplete model.
- Show units on axes and choose a sensible scale. Plot uncertainty bars where justified, draw a best-fit line rather than joining every point, and estimate steepest and shallowest plausible gradients when the course method calls for them.
- uncertainty
- A quantified limitation on a measured result
- systematic error
- A consistent measurement bias
Preparing for this qualification · Preparação para esta qualificação
- Use themes A–E and no old optional-topic model.
- SL excludes A.4, A.5, B.4, D.4 and E.2. A.2, B.5, C.1/C.3/C.5, D.1/D.2 and E.1/E.3 include additional HL scope.
- SL Paper 1: 1.5 h, Paper 2: 1.5 h; HL: 2 h, 2.5 h. Papers weigh 36% and 44%; individual investigation 20%, 3,000 words.
- A clean current Physics data booklet and calculator are available in examinations; the booklet itself remains an acquisition item.
- Practical work 20 h plus collaborative sciences project 10 h and investigation 10 h.
Teaching coverage still needed · Cobertura do ensino ainda necessária
- Remaining understandings and guidance in the acquired 2025 Physics guide require complete authored coverage; exclude AHL statements even within mixed topics.
- All tools/inquiry objectives and data booklet require complete assessment-linked coverage.
Specifications and sample documents · Especificações e documentos de exemplo
- Physics — Subject guide · 2025 ↗
First assessment: 2025
- Physics — Subject brief · 2025 ↗
First assessment: 2025
Course materials · Materiais do curso
- Study notes · Notas de estudo →
- Revision questions · Questões de revisão →
- Teaching guidance · Orientações de ensino · Teacher access · Acesso do professor →
- Teacher diagnostics · Diagnósticos do professor · Teacher access · Acesso do professor →
- Supervised task guidance · Orientações de tarefa supervisionada · Teacher access · Acesso do professor →
Course preparation · Preparação do curso
Documents are available. Board-specific notes, assessments and interactive past-paper practice are not yet available for every course. · Os documentos estão disponíveis. Notas específicas da banca, avaliações e prática interativa de provas anteriores ainda não estão disponíveis para todos os cursos.
Lessons · Lições →