Physics — Cambridge A-Level

recall and use hf = Φ + 21mvmax2

⚡ Energy and Momentum of a Photon

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understand that an electric field is an example of a field of force and define electric field as force per unit positive charge

Electric Fields and Field Lines ⚡

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explain the use of a single diode for the half-wave rectification of an alternating current

⚡ Half‑Wave Rectification

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understand that there are discrete electron energy levels in isolated atoms (e.g. atomic hydrogen)

Energy Levels in Atoms and Line Spectra

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determine the direction of the force on a charge moving in a magnetic field

Force on a Current‑Carrying Conductor

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use equations of the form x = x0 e–(t / RC) where x could represent current, charge or potential difference for a capacitor discharging through a resistor

🔋 Discharging a Capacitor

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define and use linear momentum as the product of mass and velocity

Momentum and Newton’s Laws of Motion

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understand and use the terms elastic deformation, plastic deformation and elastic limit

Elastic and Plastic Behaviour

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define the radian and express angular displacement in radians

Kinematics of Uniform Circular Motion

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distinguish between root-mean-square (r.m.s.) and peak values and recall and use I r.m.s. = I0 / 2 and Vr.m.s. = V0 / 2 for a sinusoidal alternating current

Characteristics of Alternating Currents ⚡️

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state that (electron) antineutrinos are produced during β– decay and (electron) neutrinos are produced during β+ decay

Atoms, Nuclei and Radiation

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determine the elastic potential energy of a material deformed within its limit of proportionality from the area under the force–extension graph

Elastic & Plastic Behaviour 📐

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explain how electric and magnetic fields can be used in velocity selection

Force on a Current-Carrying Conductor

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express derived units as products or quotients of the SI base units and use the derived units for quantities listed in this syllabus as appropriate

SI Units: The Building Blocks of Physics

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describe what is meant by wave motion as illustrated by vibration in ropes, springs and ripple tanks

Progressive Waves 🚀

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show an understanding of experiments that demonstrate diffraction including the qualitative effect of the gap width relative to the wavelength of the wave; for example diffraction of water waves in a ripple tank

Diffraction: The Bending of Waves 🌊

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use the concept of efficiency to solve problems

Energy Conservation ⚡️

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understand that a force of constant magnitude that is always perpendicular to the direction of motion causes centripetal acceleration

Centripetal Acceleration

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understand that a resistive force acting on an oscillating system causes damping

Damped & Forced Oscillations, Resonance 🎵

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understand that an electric current is a flow of charge carriers

Electric Current

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understand the use of a galvanometer in null methods

Potential Dividers ⚡️

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Oscillations

The First Law of Thermodynamics & Oscillations

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explain how molecular movement causes the pressure exerted by a gas and derive and use the relationship pV = 31Nm<c2>, where < c2> is the mean-square speed (a simple model considering one-dimensional collisions and then extending to three dimensions

Kinetic Theory of Gases 🚀

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understand and explain experiments that demonstrate: • that a changing magnetic flux can induce an e.m.f. in a circuit • that the induced e.m.f. is in such a direction as to oppose the change producing it • the factors affecting the magnitude of the

Electromagnetic Induction 🔄

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describe and use the concept of weight as the effect of a gravitational field on a mass and recall that the weight of an object is equal to the product of its mass and the acceleration of free fall

Momentum and Newton’s Laws of Motion

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understand that mass is the property of an object that resists change in motion

Momentum and Newton’s Laws of Motion

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represent a magnetic field by field lines

Concept of a Magnetic Field

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understand the concept of work, and recall and use work done = force × displacement in the direction of the force

Energy Conservation

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understand the terms interference and coherence

Interference & Coherence – Cambridge A‑Level Physics 9702

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understand that, while momentum of a system is always conserved in interactions between objects, some change in kinetic energy may take place

Linear Momentum and Its Conservation ⚖️

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use Kirchhoff’s laws to solve simple circuit problems

Kirchhoff’s Laws ⚡️

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describe the effect of a uniform electric field on the motion of charged particles

Uniform Electric Fields ⚡️

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define gravitational potential at a point as the work done per unit mass in bringing a small test mass from infinity to the point

Gravitational Potential

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describe and explain motion due to a uniform velocity in one direction and a uniform acceleration in a perpendicular direction

Equations of Motion

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recall and use V = W / Q

Potential Difference and Power ⚡️

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determine acceleration using the gradient of a velocity–time graph

Equations of Motion: Acceleration from a Velocity–Time Graph 🚀

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understand that objects moving against a resistive force may reach a terminal (constant) velocity

Momentum and Newton’s Laws of Motion

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define capacitance, as applied to both isolated spherical conductors and to parallel plate capacitors

Capacitance: The Basics ⚡️

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show an understanding of experiments that demonstrate stationary waves using microwaves, stretched strings and air columns (it will be assumed that end corrections are negligible; knowledge of the concept of end corrections is not required)

Stationary Waves: Experiments and Concepts

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distinguish between nucleon number and proton number

Atoms, Nuclei and Radiation

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describe the interchange between kinetic and potential energy during simple harmonic motion

Simple Harmonic Oscillations: Energy Interchange

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show a qualitative understanding of frictional forces and viscous/drag forces including air resistance (no treatment of the coefficients of friction and viscosity is required, and a simple model of drag force increasing as speed increases is sufficie

Momentum and Newton’s Laws of Motion

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recall and use F = mrω2 and F = mv2 / r

Centripetal Acceleration 🚀

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understand that the scale of thermodynamic temperature does not depend on the property of any particular substance

Temperature Scales 📏

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explain the use of four diodes (bridge rectifier) for the full-wave rectification of an alternating current

Rectification and Smoothing

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use the unified atomic mass unit (u) as a unit of mass

Atoms, Nuclei and Radiation – Unified Atomic Mass Unit (u)

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Electric fields

Damped & Forced Oscillations & Resonance – Electric Field Focus ⚡️

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understand that photoelectrons may be emitted from a metal surface when it is illuminated by electromagnetic radiation

Energy and Momentum of a Photon

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state the basic assumptions of the kinetic theory of gases

Kinetic Theory of Gases

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understand that radioactive decay is both spontaneous and random

Radioactive Decay: Spontaneous & Random

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understand that a tracer is a substance containing radioactive nuclei that can be introduced into the body and is then absorbed by the tissue being studied

Production and Use of X‑Rays

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understand the conditions required if two-source interference fringes are to be observed

Interference: Two‑Source Fringes

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solve problems using P = W / t

Energy Conservation ⚡

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understand and use the terms period, frequency and peak value as applied to an alternating current or voltage

🔄 Characteristics of Alternating Currents (AC)

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add and subtract coplanar vectors

Scalars and Vectors: Adding & Subtracting Coplanar Vectors 🚀

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understand and use the terms displacement, amplitude, phase difference, period, frequency, wavelength and speed

Progressive Waves

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understand that, for a point outside a spherical conductor, the charge on the sphere may be considered to be a point charge at its centre

Uniform Electric Fields ⚡️

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define magnetic flux as the product of the magnetic flux density and the cross-sectional area perpendicular to the direction of the magnetic flux density

Electromagnetic Induction

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explain photoelectric emission in terms of photon energy and work function energy

Energy and Momentum of a Photon

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derive, using the definitions of speed, frequency and wavelength, the wave equation v = f λ

Progressive Waves 🚂

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recall that, for an elastic collision, total kinetic energy is conserved and the relative speed of approach is equal to the relative speed of separation

Linear Momentum & Conservation ⚡️

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recall that the Boltzmann constant k is given by k = R / NA

Equation of State 📐

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derive P = Fv and use it to solve problems

Energy Conservation in Physics

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state that all electromagnetic waves are transverse waves that travel with the same speed c in free space

Electromagnetic Spectrum 📡

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understand that amount of substance is an SI base quantity with the base unit mol

The Mole: Understanding Amount of Substance

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recall that wavelengths in the range 400–700 nm in free space are visible to the human eye

📚 Electromagnetic Spectrum: The Rainbow of Light

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state the principle of conservation of momentum

Linear Momentum & Conservation

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understand and use the concept of magnetic flux linkage

Electromagnetic Induction: Magnetic Flux Linkage ⚡️

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understand the principle of a potential divider circuit

Potential Dividers ⚡️

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recall and use P = VI, P = I 2R and P = V 2 / R

Potential Difference & Power

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explain that X-rays are produced by electron bombardment of a metal target and calculate the minimum wavelength of X-rays produced from the accelerating p.d.

Production and Use of X‑Rays 🔬

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define resistance

Resistance and Resistivity 🚗

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recall and use the inverse square law for radiant flux intensity F in terms of the luminosity L of the source F = L / (4πd 2)

Standard Candles in Astronomy

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recall and use the formula ∆EP = mg∆h for gravitational potential energy changes in a uniform gravitational field

Gravitational Potential Energy & Kinetic Energy

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use equations of the form x = x0 sin ωt representing a sinusoidally alternating current or voltage

⚡️ Characteristics of Alternating Currents

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understand and use the terms light, critical and heavy damping and sketch displacement–time graphs illustrating these types of damping

Damped & Forced Oscillations – A‑Level Physics 9702

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understand that, for a point outside a uniform sphere, the mass of the sphere may be considered to be a point mass at its centre

Gravitational Force Between Point Masses

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understand the term luminosity as the total power of radiation emitted by a star

🌟 Standard Candles in Astronomy

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recall and use V = IR

Resistance and Resistivity ⚡️

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use the electronvolt (eV) as a unit of energy

Energy and Momentum of a Photon

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recall and use ω = 2π / T and v = rω

Kinematics of Uniform Circular Motion 🚀

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understand that the lowest possible temperature is zero kelvin on the thermodynamic temperature scale and that this is known as absolute zero

Temperature Scales – Cambridge A‑Level Physics 9702

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recall and use I = I0e–μx for the attenuation of X-rays in matter

Production and Use of X‑Rays

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understand the origin of the Hall voltage and derive and use the expression VH = BI / (ntq), where t = thickness

⚡️ Force on a Current-Carrying Conductor

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use, for a current-carrying conductor, the expression I = Anvq , where n is the number density of charge carriers

Electric Current: The Flow of Charge

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recall that protons and neutrons are not fundamental particles and describe protons and neutrons in terms of their quark composition

Fundamental Particles: Protons & Neutrons

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understand the equivalence between energy and mass as represented by E = mc2 and recall and use this equation

Mass Defect and Nuclear Binding Energy

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define and use the terms stress, strain and the Young modulus

Stress and Strain

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use the equations v = v0 cos ωt and v = ± ω ()xx022−

understand how ultrasound waves are generated and detected by a piezoelectric transducer

Production and Use of Ultrasound

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describe and explain qualitatively the motion of objects in a uniform gravitational field with air resistance

Momentum and Newton’s Laws of Motion

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draw and interpret circuit diagrams containing the circuit symbols shown in section 6 of this syllabus

Practical Circuits – Cambridge A‑Level Physics 9702

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understand the appearance and formation of emission and absorption line spectra

Energy Levels in Atoms and Line Spectra

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recall that a tracer that decays by β+ decay is used in positron emission tomography (PET scanning)

Production and Use of X‑rays

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understand the distinction between precision and accuracy

📏 Errors and Uncertainties in Physics

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use graphical methods to represent distance, displacement, speed, velocity and acceleration

Equations of Motion: Graphical Methods

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understand that the magnetic field due to the current in a solenoid is increased by a ferrous core

Magnetic Fields Due to Currents

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use the expression fο = f sv / (v ± vs) for the observed frequency when a source of sound waves moves relative to a stationary observer

calculate the energy released in nuclear reactions using E = c2∆m

Mass Defect & Nuclear Binding Energy

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understand the de Broglie wavelength as the wavelength associated with a moving particle

Wave‑Particle Duality: The de Broglie Wavelength

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understand that a photon is a quantum of electromagnetic energy

Energy and Momentum of a Photon

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recall and use the fact that the electric field at a point is equal to the negative of potential gradient at that point

Electric Potential & Electric Field

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recall and use F = qE for the force on a charge in an electric field

Electric Fields and Field Lines ⚡️

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define and use force as rate of change of momentum

Momentum and Newton’s Laws of Motion

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explain that, in PET scanning, positrons emitted by the decay of the tracer annihilate when they interact with electrons in the tissue, producing a pair of gamma-ray photons travelling in opposite directions

Production and Use of X‑rays – PET Scanning

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understand the use of the time-base and y-gain of a cathode-ray oscilloscope (CRO) to determine frequency and amplitude

understand that resonance involves a maximum amplitude of oscillations and that this occurs when an oscillating system is forced to oscillate at its natural frequency

Damped and Forced Oscillations, Resonance

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explain why redshift leads to the idea that the Universe is expanding

Stellar Radii & Redshift: Why the Universe Expands 🌌

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state and apply the principle of moments

Equilibrium of Forces – Principle of Moments

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understand that fluctuations in count rate provide evidence for the random nature of radioactive decay

Radioactive Decay

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analyse circular orbits in gravitational fields by relating the gravitational force to the centripetal acceleration it causes

Gravitational Force Between Point Masses

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understand that the resistance of a thermistor decreases as the temperature increases (it will be assumed that thermistors have a negative temperature coefficient)

Resistance and Resistivity

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recall and use the formula for the spring constant k = F / x

Stress & Strain – The Spring Constant

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describe an experiment to determine the acceleration of free fall using a falling object

Equations of Motion: Determining the Acceleration of Free Fall 🚀

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recall and apply the principle of conservation of energy

Energy Conservation

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understand that nucleon number and charge are conserved in nuclear processes

Atoms, Nuclei and Radiation

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define the specific acoustic impedance of a medium as Z = ρc, where c is the speed of sound in the medium

Production and Use of Ultrasound

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recall and use τ = RC for the time constant for a capacitor discharging through a resistor

🔌 Discharging a Capacitor

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recall and use E = hf

Energy and Momentum of a Photon 📚

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describe the changes to quark composition that take place during β– and β+ decay

Fundamental Particles: Quarks and Beta Decay

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understand that a hadron may be either a baryon (consisting of three quarks) or a meson (consisting of one quark and one antiquark)

Fundamental Particles: Hadrons

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recall and use intensity = power/area and intensity ∝ (amplitude )2 for a progressive wave

Progressive Waves 📡

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Work, energy and power An understanding of the forms of energy and energy transfers from Cambridge IGCSE/O Level Physics or equivalent is assumed.

Equilibrium of Forces: Work, Energy & Power

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understand the use of standard candles to determine distances to galaxies

🌟 Standard Candles – Measuring the Cosmos

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convert temperatures between kelvin and degrees Celsius and recall that T / K = θ / °C + 273.

Temperature Scales: Kelvin & Celsius

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Forces, density and pressure

Linear Momentum and Its Conservation

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recall and use Faraday’s and Lenz’s laws of electromagnetic induction

Electromagnetic Induction ⚡️

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describe the composition, mass and charge of α-, β- and γ-radiations (both β– (electrons) and β+ (positrons) are included)

Atoms, Nuclei and Radiation

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understand that isotopes are forms of the same element with different numbers of neutrons in their nuclei

Atoms, Nuclei and Radiation ⚛️

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recall and use EP = 21 Fx = 21 kx2 for a material deformed within its limit of proportionality

Elastic and Plastic Behaviour

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describe a simple model for the nuclear atom to include protons, neutrons and orbital electrons

Atoms, Nuclei and Radiation

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define and use specific latent heat and distinguish between specific latent heat of fusion and specific latent heat of vaporisation

Temperature Scales

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define and use specific heat capacity

use a vector triangle to represent coplanar forces in equilibrium

⚖️ Equilibrium of Forces – Vector Triangle

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recall Kirchhoff’s first law and understand that it is a consequence of conservation of charge

Kirchhoff’s Laws

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define and use pressure

Equilibrium of Forces

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understand and use the terms load, extension, compression and limit of proportionality

📐 Stress and Strain – A-Level Physics 9702

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Magnetic fields

Discharging a Capacitor: Magnetic Fields ⚡

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explain that the resistance of a filament lamp increases as current increases because its temperature increases

Resistance and Resistivity

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understand that a satellite in a geostationary orbit remains at the same point above the Earth’s surface, with an orbital period of 24 hours, orbiting from west to east, directly above the Equator

Gravitational Force Between Point Masses

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derive, using Kirchhoff’s laws, a formula for the combined resistance of two or more resistors in series

Kirchhoff’s Laws: Series Resistors

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recall and use Hubble’s law v . H0d and explain how this leads to the Big Bang theory (candidates will only be required to use SI units)

🚀 Hubble’s Law & The Big Bang

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recall and use Coulomb’s law F = Q1Q2 / (4πε0 r 2) for the force between two point charges in free space

Uniform Electric Fields 📐

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derive, using Kirchhoff’s laws, a formula for the combined resistance of two or more resistors in parallel

🔌 Kirchhoff’s Laws & Parallel Resistance

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recall Kirchhoff’s second law and understand that it is a consequence of conservation of energy

Kirchhoff’s Laws

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sketch the I–V characteristics of a metallic conductor at constant temperature, a semiconductor diode and a filament lamp

Resistance and Resistivity

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understand how wavelength may be determined from the positions of nodes or antinodes of a stationary wave

Stationary Waves

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understand that the resistance of a light-dependent resistor (LDR) decreases as the light intensity increases

Resistance and Resistivity: Light‑Dependent Resistor (LDR)

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Quantum physics

use the formula for the combined resistance of two or more resistors in series

Kirchhoff’s Laws & Series Resistance

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make reasonable estimates of physical quantities included within the syllabus

📐 Physical Quantities & Reasonable Estimates

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compare transverse and longitudinal waves

recall and use E = ∆V / ∆d to calculate the field strength of the uniform field between charged parallel plates

Uniform Electric Fields ⚡️

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understand that the upthrust acting on an object in a fluid is due to a difference in hydrostatic pressure

Equilibrium of Forces

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understand the exponential nature of radioactive decay, and sketch and use the relationship x = x0e–λt, where x could represent activity, number of undecayed nuclei or received count rate

🔬 Radioactive Decay

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compare pV = 31Nm<c2> with pV = NkT to deduce that the average translational kinetic energy of a molecule is 23 kT, and recall and use this expression

🧪 Kinetic Theory of Gases – Cambridge A‑Level 9702

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Ideal gases

Temperature Scales 🔥

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understand that polarisation is a phenomenon associated with transverse waves

Polarisation: A Simple Guide 🎓

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analyse and interpret graphical representations of the variations of displacement, velocity and acceleration for simple harmonic motion

Simple Harmonic Oscillations – Cambridge A‑Level Physics 9702

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use V = Q / (4πε0r) for the electric potential in the field due to a point charge

Electric Potential: The Point‑Charge Formula

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recall and use the charge of each flavour of quark and understand that its respective antiquark has the opposite charge (no knowledge of any other properties of quarks is required)

Fundamental Particles: Quarks & Antiquarks

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explain the formation of a stationary wave using a graphical method, and identify nodes and antinodes

Stationary Waves

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recall the following SI base quantities and their units: mass (kg), length (m), time (s), current (A), temperature (K)

SI Base Quantities & Units 📏

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define and use density

⚖️ Equilibrium of Forces

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Waves An understanding of colour from Cambridge IGCSE/O Level Physics or equivalent is assumed.

Elastic and Plastic Behaviour

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understand that a physical property that varies with temperature may be used for the measurement of temperature and state examples of such properties, including the density of a liquid, volume of a gas at constant pressure, resistance of a metal, e.m

Temperature Scales & Measurement

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analyse and interpret graphical representations of transverse and longitudinal waves

Progressive Waves – Cambridge A‑Level Physics 9702

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understand that α-particles have discrete energies but that β-particles have a continuous range of energies because (anti)neutrinos are emitted in β-decay

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use a = –ω2x and recall and use, as a solution to this equation, x = x0 sin ωt

Simple Harmonic Oscillations (SHO) – Cambridge A‑Level Physics 9702

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understand that an antiparticle has the same mass but opposite charge to the corresponding particle, and that a positron is the antiparticle of an electron

Atoms, Nuclei and Radiation ⚛️

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recall and use a = rω2 and a = v2 / r

Centripetal Acceleration

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use molar quantities where one mole of any substance is the amount containing a number of particles of that substance equal to the Avogadro constant NA

The Mole

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understand that a force might act on a current-carrying conductor placed in a magnetic field

Force on a current‑carrying conductor

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derive, using C = Q / V, formulae for the combined capacitance of capacitors in series and in parallel

Capacitors and Capacitance

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understand that all physical quantities consist of a numerical magnitude and a unit

Physical Quantities: Numbers + Units 🚀

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recall and use C = Q / V

Capacitors and Capacitance

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understand and use the terms displacement, amplitude, period, frequency, angular frequency and phase difference in the context of oscillations, and express the period in terms of both frequency and angular frequency

Simple Harmonic Oscillations

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recall and use Wien’s displacement law λmax ∝ 1 / T to estimate the peak surface temperature of a star

Stellar Radii & Wien’s Displacement Law

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understand that the charge on charge carriers is quantised

Electric Current: The Flow of Quantised Charge

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describe the use of a diffraction grating to determine the wavelength of light (the structure and use of the spectrometer are not included)

Diffraction Grating: Finding the Wavelength of Light 🔬

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derive, using the equations of motion, the formula for kinetic energy EK = 21mv2

Gravitational Potential Energy & Kinetic Energy

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apply the principle of conservation of momentum to solve simple problems, including elastic and inelastic interactions between objects in both one and two dimensions (knowledge of the concept of coefficient of restitution is not required)

Linear Momentum and its Conservation

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understand that a quark is a fundamental particle and that there are six flavours (types) of quark: up, down, strange, charm, top and bottom

Fundamental Particles: Quarks

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use IR / I0 = (Z1 – Z2)2 / (Z1 + Z2)2 for the intensity reflection coefficient of a boundary between two media

Production and Use of Ultrasound

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understand that the photoelectric effect provides evidence for a particulate nature of electromagnetic radiation while phenomena such as interference and diffraction provide evidence for a wave nature

Wave‑Particle Duality

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understand that the gamma-ray photons from an annihilation event travel outside the body and can be detected, and an image of the tracer concentration in the tissue can be created by processing the arrival times of the gamma-ray photons

Production and Use of X‑rays

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Capacitance

Electric Potential & Capacitance

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recall and use d sin θ = nλ

The Diffraction Grating

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understand the effects of the internal resistance of a source of e.m.f. on the terminal potential difference

Practical Circuits: Internal Resistance of a Source

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understand the difference between scalar and vector quantities and give examples of scalar and vector quantities included in the syllabus

Scalars and Vectors

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explain and use the principle of superposition

Stationary Waves

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Gravitational fields

Centripetal Acceleration 🚀

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determine the electric potential energy stored in a capacitor from the area under the potential–charge graph

Capacitors & Capacitance – A‑Level Physics 9702

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distinguish between e.m.f. and potential difference (p.d.) in terms of energy considerations

Practical Circuits: e.m.f. vs Potential Difference

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define and apply the torque of a couple

Turning Effects of Forces 🔁

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define magnetic flux density as the force acting per unit current per unit length on a wire placed at right- angles to the magnetic field

Force on a Current‑Carrying Conductor

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define and use the terms mass defect and binding energy

Mass Defect and Nuclear Binding Energy

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understand and use the notation A Z X for the representation of nuclides

Atoms, Nuclei and Radiation – Understanding Nuclide Notation

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understand that a gas obeying pV ∝ T, where T is the thermodynamic temperature, is known as an ideal gas

Equation of State

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understand and explain the effects of systematic errors (including zero errors) and random errors in measurements

Errors and Uncertainties in Measurements

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recall the approximate range of wavelengths in free space of the principal regions of the electromagnetic spectrum from radio waves to γ-rays

📡 Electromagnetic Spectrum

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define power as work done per unit time

Energy Conservation: Power Defined

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represent a gravitational field by means of field lines

Gravitational Field & Field Lines

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recall and use W = 21QV = 21CV2

Capacitors & Capacitance – A‑Level Physics 9702

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represent simple nuclear reactions by nuclear equations of the form NH eO H714 24 817 11" ++

Mass defect and nuclear binding energy

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use ϕ = –GM / r for the gravitational potential in the field due to a point mass

Gravitational Potential

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understand that when a source of sound waves moves relative to a stationary observer, the observed frequency is different from the source frequency (understanding of the Doppler effect for a stationary source and a moving observer is not required)

Doppler Effect for Sound Waves

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recall and use the circuit symbols shown in section 6 of this syllabus

Practical Circuits – Circuit Symbols

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understand that, when there is no resultant force and no resultant torque, a system is in equilibrium

⚖️ Equilibrium of Forces

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understand and use the concept of angular speed

🔄 Kinematics of Uniform Circular Motion – Angular Speed

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determine velocity using the gradient of a displacement–time graph

Equations of Motion: Determining Velocity from a Displacement–Time Graph 🚀

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define and use distance, displacement, speed, velocity and acceleration

Equations of Motion

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recall and use the fact that the mean power in a resistive load is half the maximum power for a sinusoidal alternating current

⚡️ Characteristics of Alternating Currents

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recall and use v = f λ

Progressive Waves

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represent a vector as two perpendicular components

Scalars and Vectors

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use the equation ∆p = ρg∆h

Equilibrium of Forces: Pressure Difference in Fluids

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understand that the area under the force–extension graph represents the work done

Elastic and Plastic Behaviour

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use the capacitance formulae for capacitors in series and in parallel

Capacitors and Capacitance

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Dynamics An understanding of forces from Cambridge IGCSE/O Level Physics or equivalent is assumed.

Equations of Motion

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explain the meaning of the term diffraction

Diffraction

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represent α- and β-decay by a radioactive decay equation of the form UT h92238 90234

Atoms, Nuclei and Radiation – Cambridge A‑Level Physics 9702

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represent an electric field by means of field lines

Electric Fields and Field Lines

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show an understanding of experiments that demonstrate two-source interference using water waves in a ripple tank, sound, light and microwaves

Interference in Physics

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understand that regions of equal temperature are in thermal equilibrium

Thermal Equilibrium

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recall and use EK = 21mv2

Gravitational Potential Energy & Kinetic Energy

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Temperature

Gravitational Potential 🌍

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understand that electromagnetic radiation has a particulate nature

Energy and Momentum of a Photon

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state Ohm’s law

Resistance and Resistivity

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analyse the effect of a single capacitor in smoothing, including the effect of the values of capacitance and the load resistance

Rectification and Smoothing

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recall and use Q = It

Electric Current

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recall and understand that the efficiency of a system is the ratio of useful energy output from the system to the total energy input

Energy Conservation and Efficiency

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understand that annihilation occurs when a particle interacts with its antiparticle and that mass–energy and momentum are conserved in the process

derive, from the definitions of pressure and density, the equation for hydrostatic pressure ∆p = ρg∆h

Equilibrium of Forces – Hydrostatic Pressure

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infer from the results of the α-particle scattering experiment the existence and small size of the nucleus

Atoms, Nuclei and Radiation: The Alpha‑Particle Scattering Experiment

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explain the relevance of binding energy per nucleon to nuclear reactions, including nuclear fusion and nuclear fission

Mass defect and nuclear binding energy ⚛️

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recall and use λ = h / p

define electric potential at a point as the work done per unit positive charge in bringing a small test charge from infinity to the point

Electric Potential

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recall and use λ = ax / D for double-slit interference using light

Interference

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recall and use I = I0e–μx for the attenuation of ultrasound in matter

📢 Production and Use of Ultrasound

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recall and use F = BQv sin θ

⚡️ Force on a Current‑Carrying Conductor

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explain why the maximum kinetic energy of photoelectrons is independent of intensity, whereas the photoelectric current is proportional to intensity

Energy and Momentum of a Photon – Photoelectric Effect

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recall and use the first law of thermodynamics ∆U = q + W expressed in terms of the increase in internal energy, the heating of the system (energy transferred to the system by heating) and the work done on the system

The First Law of Thermodynamics

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recall and use W = p∆V for the work done when the volume of a gas changes at constant pressure and understand the difference between the work done by the gas and the work done on the gas

recall and use E = Q / (4πε0 r 2) for the electric field strength due to a point charge in free space

Electric Field of a Point Charge ⚡️

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use Wien’s displacement law and the Stefan–Boltzmann law to estimate the radius of a star

Stellar Radii: Estimating the Size of a Star

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understand that the lines in the emission and absorption spectra from distant objects show an increase in wavelength from their known values

understand that a magnetic field is an example of a field of force produced either by moving charges or by permanent magnets

Concept of a Magnetic Field

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understand that a couple is a pair of forces that acts to produce rotation only

Turning Effects of Forces

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relate a rise in temperature of an object to an increase in its internal energy

Internal Energy and Temperature

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recall and use E = 21mω2x02 for the total energy of a system undergoing simple harmonic motion

Simple Harmonic Oscillations ⚙️

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understand that centripetal acceleration causes circular motion with a constant angular speed

Centripetal Acceleration

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understand how the concept of electric potential leads to the electric potential energy of two point charges and use EP = Qq / (4πε0 r)

Electric Potential: From Idea to Energy ⚡️

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explain the origin of the forces between current-carrying conductors and determine the direction of the forces

Magnetic Fields Due to Currents

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use the formula for the combined resistance of two or more resistors in parallel

Kirchhoff’s Laws

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explain what is meant by nuclear fusion and nuclear fission

recall and use Malus’s law ( I = I0 cos2θ ) to calculate the intensity of a plane-polarised electromagnetic wave after transmission through a polarising filter or a series of polarising filters (calculation of the effect of a polarising filter on the

🌞 Polarisation

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determine displacement from the area under a velocity–time graph

Equations of Motion: Finding Displacement from a Velocity–Time Graph 🚀

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use the Stefan–Boltzmann law L = 4πσr 2 T

Stellar Radii – Using the Stefan–Boltzmann Law 🌞

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recall and use the equation F = BIL sin θ, with directions as interpreted by Fleming’s left-hand rule

recall and use R = ρL / A

Resistance and Resistivity

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use λ = 0.693 / t

use SI base units to check the homogeneity of physical equations

understand that simple harmonic motion occurs when acceleration is proportional to displacement from a fixed point and in the opposite direction

Simple Harmonic Oscillations

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define and use the electromotive force (e.m.f.) of a source as energy transferred per unit charge in driving charge around a complete circuit

Practical Circuits: Electromotive Force (e.m.f.) ⚡

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understand that a piezo-electric crystal changes shape when a p.d. is applied across it and that the crystal generates an e.m.f. when its shape changes

📣 Production and Use of Ultrasound

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recall and use g = GM / r

Gravitational Force Between Point Masses

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recall and use Φ = BA

Electromagnetic Induction

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describe an experiment to determine the Young modulus of a metal in the form of a wire

Stress and Strain 📐

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understand that computed tomography (CT) scanning produces a 3D image of an internal structure by first combining multiple X-ray images taken in the same section from different angles to obtain a 2D image of the section, then repeating this process a

🧠 Production and Use of X‑Rays – CT Scanning

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understand how the concept of gravitational potential leads to the gravitational potential energy of two point masses and use EP = –GMm / r

Gravitational Potential

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sketch magnetic field patterns due to the currents in a long straight wire, a flat circular coil and a long solenoid

Magnetic Fields Due to Currents

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recall and use the equation of state for an ideal gas expressed as pV = nRT, where n = amount of substance (number of moles) and as pV = NkT, where N = number of molecules

Equation of State

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understand that a gravitational field is an example of a field of force and define gravitational field as force per unit mass

Gravitational Field

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recall and use hf = E1 – E2

Energy Levels in Atoms and Line Spectra

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recall and use the following prefixes and their symbols to indicate decimal submultiples or multiples of both base and derived units: pico (p), nano (n), micro ( μ), milli (m), centi (c), deci (d), kilo (k), mega (M), giga (G), tera (T)

SI Units: Prefixes

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derive, from the definitions of velocity and acceleration, equations that represent uniformly accelerated motion in a straight line

Equations of Motion for Uniform Acceleration

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understand that the root-mean-square speed cr.m.s. is given by c<>

Kinetic Theory of Gases

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define and apply the moment of a force

Turning Effects of Forces

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define the potential difference across a component as the energy transferred per unit charge

Potential Difference and Power

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understand that the weight of an object may be taken as acting at a single point known as its centre of gravity

Turning Effects of Forces

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understand that deformation is caused by tensile or compressive forces (forces and deformations will be assumed to be in one dimension only)

Stress and Strain

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understand the use of X-rays in imaging internal body structures, including an understanding of the term contrast in X-ray imaging

Production and Use of X‑rays

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calculate the energy of the gamma-ray photons emitted during the annihilation of an electron-positron pair

Production and Use of X‑rays

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derive, using W = Fs, the formula ∆EP = mg∆h for gravitational potential energy changes in a uniform gravitational field

Gravitational Potential Energy & Kinetic Energy

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define half-life

Radioactive Decay ⚛️

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calculate the upthrust acting on an object in a fluid using the equation F = ρgV (Archimedes’ principle)

Equilibrium of Forces

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understand that a photon has momentum and that the momentum is given by p = E / c

Energy and Momentum of a Photon 🎓

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analyse graphs of the variation with time of potential difference, charge and current for a capacitor discharging through a resistor

🔋 Discharging a Capacitor

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understand and use the terms threshold frequency and threshold wavelength

Energy and Momentum of a Photon

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define activity and decay constant, and recall and use A = λN

🔬 Radioactive Decay: Activity & Decay Constant

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sketch the variation of binding energy per nucleon with nucleon number

recall and use Newton’s law of gravitation F = Gm1m2 / r2 for the force between two point masses

Gravitational Force Between Point Masses

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recall that electrons and neutrinos are fundamental particles called leptons

⚛️ Fundamental Particles: Leptons

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recall and use Hooke’s law

describe the motion of a charged particle moving in a uniform magnetic field perpendicular to the direction of motion of the particle

Force on a Current‑Carrying Conductor

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explain the use of thermistors and light-dependent resistors in potential dividers to provide a potential difference that is dependent on temperature and light intensity

distinguish graphically between half-wave and full-wave rectification

Rectification and Smoothing

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recall and use the principle of the potentiometer as a means of comparing potential differences

Potential Dividers – The Potentiometer

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solve problems using equations that represent uniformly accelerated motion in a straight line, including the motion of bodies falling in a uniform gravitational field without air resistance

Equations of Motion 📐

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understand why g is approximately constant for small changes in height near the Earth’s surface

Gravitational Force Between Point Masses

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Astronomy and cosmology

Production and Use of X‑Rays in Astronomy & Cosmology

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use ∆λ / λ . ∆f / f . v / c for the redshift of electromagnetic radiation from a source moving relative to an observer

understand that energy is transferred by a progressive wave

describe and interpret qualitatively the evidence provided by electron diffraction for the wave nature of particles

Wave‑Particle Duality

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assess the uncertainty in a derived quantity by simple addition of absolute or percentage uncertainties

📏 Errors and Uncertainties in Physics

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understand that an object of known luminosity is called a standard candle

Standard Candles 📚

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state and apply each of Newton’s laws of motion

Momentum and Newton’s Laws of Motion

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understand that internal energy is determined by the state of the system and that it can be expressed as the sum of a random distribution of kinetic and potential energies associated with the molecules of a system

Internal Energy 🔋

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derive, from Newton’s law of gravitation and the definition of gravitational field, the equation g = GM / r 2 for the gravitational field strength due to a point mass

Gravitational Field Strength of a Point Mass

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recall F = ma and solve problems using it, understanding that acceleration and resultant force are always in the same direction

understand the use of a Hall probe to measure magnetic flux density

Force on a Current‑Carrying Conductor

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understand how the reflection of pulses of ultrasound at boundaries between tissues can be used to obtain diagnostic information about internal structures

Production and use of ultrasound

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understand that (thermal) energy is transferred from a region of higher temperature to a region of lower temperature

Thermal Equilibrium

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