✓ Given in booklet

IB Physics HL — Data Booklet

Every formula printed in your official IB data booklet, organised by topic. Knowing whichformulas you're given frees up mental space to memorise what isn't here.

★ Must memorise — NOT in the booklet

  • Resolving a vector into components (F cos θ along, F sin θ perpendicular)
  • Reading a graph: gradient and area (e.g. area under an a–t graph = Δv)
  • SI prefixes (n, μ, m, k, M, G) and unit conversions
  • Significant figures and propagating uncertainties (add for ±, % for ×/÷)
  • Free-body diagrams and the equilibrium condition (ΣF = 0, Στ = 0)
  • When a relationship is directly proportional — a straight line through the origin

Physics gives you a data booklet of equations and constants in every paper — the skill is choosing and rearranging the right one, not recalling it. The items above are not printed, so practise them until they are automatic.

Mathematical equations

Area of a triangle

math

b is the base, h is the height

Area of a circle

math

r is the radius

Circumference of a circle

math

Volume of a cuboid

math

length × width × height

Volume of a cylinder

math

Volume of a prism

math

A is the area of cross-section

Volume of a sphere

math

Curved surface of a cylinder

math

Resolving a vector

math, 1.2

horizontal component

Resolving a vector

math, 1.2

vertical component

Trigonometric relationship

math

Trigonometric identity

math

Uncertainties

Adding / subtracting

6.1

absolute uncertainties add

Multiplying / dividing

6.1

fractional uncertainties add

Powers

6.1

fractional uncertainty × |n|

Fundamental constants

Acceleration of free fall

const

Earth's surface

Gravitational constant

const

Avogadro constant

const

Gas constant

const

Boltzmann constant

const

Stefan–Boltzmann constant

const

Coulomb constant

const

Permittivity of free space

const

Permeability of free space

const

Speed of light in vacuum

const

Planck constant

const

Elementary charge

const

Unified atomic mass unit

const

Solar constant

const

A. Space, time and motion

A.1 Kinematics

1.1

displacement = average velocity × time (area under a v–t graph)

A.1 Kinematics

1.1

final velocity (constant acceleration)

A.1 Kinematics

1.1

displacement (constant acceleration)

A.1 Kinematics

1.1

velocity–displacement (no time)

A.2 Forces and momentum

1.2

static friction

A.2 Forces and momentum

1.2

dynamic friction

A.2 Forces and momentum

1.2

Hooke's law

A.2 Forces and momentum

1.2

viscous drag (Stokes' law)

A.2 Forces and momentum

1.2

buoyancy (Archimedes)

A.2 Forces and momentum

1.2

weight

A.2 Forces and momentum

1.2

momentum

A.2 Forces and momentum

1.2

impulse

A.2 Forces and momentum

1.2

Newton's second law

A.2 Forces and momentum

1.2

centripetal acceleration

A.2 Forces and momentum

1.2

speed in a circle

A.3 Work, energy and power

1.3

work done by a force

A.3 Work, energy and power

1.3

kinetic energy

A.3 Work, energy and power

1.3

gravitational PE change

A.3 Work, energy and power

1.3

elastic PE

A.3 Work, energy and power

1.3

power

A.3 Work, energy and power

1.3

efficiency

A.4 Rigid body mechanics

1.4

angular velocity (constant angular acceleration)

A.4 Rigid body mechanics

1.4

angle turned (constant angular acceleration)

A.4 Rigid body mechanics

1.4

angle = average angular velocity × time (area under an ω–t graph)

A.4 Rigid body mechanics

1.4

angular velocity–angle (no time)

A.4 Rigid body mechanics

1.4

rim (linear) speed of a rotating point

A.4 Rigid body mechanics

1.4

torque of a force

A.4 Rigid body mechanics

1.4

moment of inertia

A.4 Rigid body mechanics

1.4

Newton's second law for rotation

A.4 Rigid body mechanics

1.4

angular momentum

A.4 Rigid body mechanics

1.4

angular impulse

A.4 Rigid body mechanics

1.4

rotational kinetic energy

A.5 Galilean and special relativity

1.5

Galilean transformation

A.5 Galilean and special relativity

1.5

Galilean velocity addition

A.5 Galilean and special relativity

1.5

Lorentz factor

A.5 Galilean and special relativity

1.5

Lorentz transformation (position)

A.5 Galilean and special relativity

1.5

Lorentz transformation (time)

A.5 Galilean and special relativity

1.5

relativistic velocity addition

A.5 Galilean and special relativity

1.5

time dilation (Δt₀ = proper time)

A.5 Galilean and special relativity

1.5

length contraction (L₀ = proper length)

A.5 Galilean and special relativity

1.5

spacetime interval (invariant)

B. The particulate nature of matter

B.1 Thermal energy transfers

2.1

density

B.1 Thermal energy transfers

2.1

average kinetic energy of a particle

B.1 Thermal energy transfers

2.1

specific heat capacity

B.1 Thermal energy transfers

2.1

latent heat

B.1 Thermal energy transfers

2.1

thermal conduction

B.1 Thermal energy transfers

2.1

Stefan–Boltzmann (luminosity)

B.1 Thermal energy transfers

2.1

apparent brightness

B.1 Thermal energy transfers

2.1

Wien's displacement law

B.2 Greenhouse effect

2.2

B.2 Greenhouse effect

2.2

B.3 Gas laws

2.3

pressure

B.3 Gas laws

2.3

number of moles

B.3 Gas laws

2.3

combined gas law

B.3 Gas laws

2.3

ideal gas law

B.3 Gas laws

2.3

kinetic model of a gas

B.3 Gas laws

2.3

internal energy of an ideal gas

B.5 Current and circuits

2.5

electric current

B.5 Current and circuits

2.5

potential difference

B.5 Current and circuits

2.5

resistance

B.5 Current and circuits

2.5

resistivity

B.5 Current and circuits

2.5

electrical power

B.5 Current and circuits

2.5

resistors in series (I same, V adds)

B.5 Current and circuits

2.5

resistors in parallel (V same, I adds)

B.5 Current and circuits

2.5

emf and internal resistance

B.4 Thermodynamics

2.4

first law of thermodynamics

B.4 Thermodynamics

2.4

work done by a gas at constant pressure

B.4 Thermodynamics

2.4

change in entropy

B.4 Thermodynamics

2.4

efficiency of a heat engine

B.4 Thermodynamics

2.4

maximum (Carnot) efficiency

C. Wave behaviour

C.1 Simple harmonic motion

3.1

defining condition for SHM

C.1 Simple harmonic motion

3.1

period, frequency, angular frequency

C.1 Simple harmonic motion

3.1

mass–spring period

C.1 Simple harmonic motion

3.1

simple-pendulum period

C.2 Wave model

3.2, 3.4

wave equation (also used for standing waves in C.4)

C.3 Wave phenomena

3.3

Snell's law

C.3 Wave phenomena

3.3

C.3 Wave phenomena

3.3

C.3 Wave phenomena

3.3

double-slit fringe spacing

C.5 Doppler effect

3.5

Doppler effect for a moving sound source (− approaching, + receding)

C.5 Doppler effect

3.5

Doppler shift (v ≪ c)

C.1 Simple harmonic motion (HL)

3.1

displacement in SHM

C.1 Simple harmonic motion (HL)

3.1

velocity in SHM

C.1 Simple harmonic motion (HL)

3.1

maximum speed in SHM

C.1 Simple harmonic motion (HL)

3.1

total energy in SHM

C.3 Wave phenomena (HL)

3.3

diffraction-grating maxima

C.3 Wave phenomena (HL)

3.3

Rayleigh resolution criterion

C.5 Doppler effect (HL)

3.5

Doppler shift, moving source

C.5 Doppler effect (HL)

3.5

Doppler shift, moving observer

D. Fields

D.1 Gravitational fields

4.1

Newton's law of gravitation

D.1 Gravitational fields

4.1

gravitational field strength

D.2 Electric and magnetic fields

4.2

Coulomb's law

D.2 Electric and magnetic fields

4.2

electric field strength

D.2 Electric and magnetic fields

4.2

uniform field between plates

D.3 Motion in electromagnetic fields

4.3

force on a moving charge

D.3 Motion in electromagnetic fields

4.3

force on a current-carrying wire

D.3 Motion in electromagnetic fields

4.2, 4.3

force between parallel currents

D.1 Gravitational fields (HL)

4.1

gravitational potential

D.1 Gravitational fields (HL)

4.1

gravitational potential energy

D.1 Gravitational fields (HL)

4.1

field = potential gradient

D.1 Gravitational fields (HL)

4.1

escape speed

D.1 Gravitational fields (HL)

4.1

orbital speed

D.2 Electric and magnetic fields (HL)

4.2

electric potential of a point charge

D.2 Electric and magnetic fields (HL)

4.2

electric potential energy

D.2 Electric and magnetic fields (HL)

4.2

field = potential gradient

D.4 Induction

4.4

magnetic flux

D.4 Induction

4.4

Faraday's law (induced emf)

D.4 Induction

4.4

motional emf of a moving rod

D.4 Induction

4.4

emf of a rotating coil (AC generator)

D.4 Induction

4.4

ideal transformer

D.4 Induction

4.4

rms current and voltage

E. Nuclear and quantum physics

E.1 Structure of the atom

5.1

photon energy

E.1 Structure of the atom

5.1

photon energy from wavelength

E.3 Radioactive decay / E.4 Fission

5.3, 5.4

mass–energy equivalence

E.5 Fusion and stars

5.5

stellar parallax distance

E.5 Fusion and stars

5.5

apparent brightness (inverse-square law)

E.5 Fusion and stars

5.5

Stefan–Boltzmann law (stellar luminosity)

E.5 Fusion and stars

5.5

Wien's displacement law

E.2 Quantum physics

5.2

photoelectric equation (Φ = work function)

E.2 Quantum physics

5.2

de Broglie wavelength

E.2 Quantum physics

5.2

Heisenberg uncertainty (position–momentum)

E.2 Quantum physics

5.2

Heisenberg uncertainty (energy–time)

E.2 Quantum physics

5.2

attenuation of intensity

E.3 Radioactive decay (HL)

5.3

radioactive decay law

E.3 Radioactive decay (HL)

5.3

activity

E.3 Radioactive decay (HL)

5.3

decay constant and half-life

Source: IB Diploma Programme Physics data booklet (first examinations 2025). Always verify against your official IB materials.