Revision notes · Waves

Electromagnetic waves

Types of electromagnetic waves4.6.2.1

Electromagnetic (EM) waves are transverse waves that transfer energy from a source to an absorber (for example, from the Sun to the Earth, or from a microwave oven to food). Unlike sound, EM waves don't need particles to travel — they can travel through a vacuum (empty space), and in a vacuum all electromagnetic waves travel at the same speed (the speed of light).

Being transverse, an EM wave is really two oscillations travelling together at right angles to each other: an oscillating electric field and an oscillating magnetic field, both perpendicular to each other and to the direction the wave travels. Picture two sine waves overlapping in perpendicular planes, moving forward in step — that's what makes it electro-magnetic.

The electromagnetic spectrum is a continuous range of wavelengths, grouped by convention into seven main types. In order of decreasing wavelength and increasing frequency: radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, gamma rays.

The electromagnetic spectrum
🧠 Remember: Radio waves have the longest wavelength and lowest frequency; gamma rays have the shortest wavelength and highest frequency. Getting this order the right way round is a common exam-question requirement, so it's worth memorising it precisely: radio, microwave, infrared, visible, ultraviolet, X-ray, gamma.
🧠 Remember: Since wave speed is the same (constant) for every type of EM wave in a given medium, and v = f × λ, a shorter wavelength always means a higher frequency, and vice versa. A higher frequency also means the wave carries more energy.

Radio waves can be produced by, and can themselves produce, oscillations (alternating currents) in electrical circuits: an electrical circuit with an oscillating current emits radio waves at the same frequency, and radio waves absorbed by a circuit induce an alternating current in it at the wave's frequency.

Properties of electromagnetic waves 14.6.2.2

Different substances absorb, transmit, refract, or reflect different parts of the electromagnetic spectrum differently, because the substance's particles interact differently with different wavelengths/frequencies. For example, glass transmits (and refracts) visible light, but absorbs most ultraviolet radiation and reflects most infrared radiation.

Refraction: when a wave crosses a boundary between two materials of different density at an angle, it changes speed, which changes its direction (unless it hits the boundary exactly along the normal). Going into a denser material, the wave slows down and bends towards the normal; going into a less dense material, it speeds up and bends away from the normal.

Refraction of light

Dispersion (HT only): different wavelengths of light refract by different amounts when entering a denser material — shorter wavelengths (e.g. blue light) slow down and bend more than longer wavelengths (e.g. red light). This is why white light splits into a spectrum of colours when passed through a glass prism: each colour refracts by a slightly different amount and they spread apart.

Properties of electromagnetic waves 24.6.2.3

Most electromagnetic radiation is generated or absorbed by changes in the arrangement of electrons within atoms.

  • When an electron moves to a higher energy level (further from the nucleus), the atom has absorbed electromagnetic radiation.
  • When an electron falls to a lower energy level (closer to the nucleus), the atom emits electromagnetic radiation.
  • If an electron absorbs enough energy to leave the atom completely, the atom becomes a positive ion — this is ionisation.
⚠️ Common mistake: Gamma rays are the exception: they are emitted from changes inside an unstable atomic nucleus (radioactive decay), not from electron energy-level changes — see 4.4.2 Atoms and nuclear radiation.

Uses and applications of electromagnetic waves4.6.2.4

TypeCommon usesWhy it's suited to this
Radio wavesTV and radio broadcastingLong wavelength, so can travel long distances without losing much signal quality
MicrowavesSatellite communication, cooking foodCan pass through the Earth's atmosphere to reach satellites; readily absorbed by water molecules in food, heating it
InfraredCooking food (grills/toasters), infrared cameras, remote controlsTransfers thermal energy efficiently; emitted strongly by warm objects, so can be used to detect them
Visible lightFibre-optic communicationsReflects efficiently along the inside of a glass fibre, unlike wavelengths that are too short or too long
UltravioletSun tanning, security marking, energy-efficient lampsHigher energy than visible light, so can trigger fluorescence and other chemical effects
X-rays and gamma raysMedical imaging (X-rays) and cancer treatment (gamma rays)Very high energy, so can penetrate soft tissue (X-rays) or be directed precisely at tumours (gamma)

UV, X-rays, and gamma rays can all be hazardous to human tissue — the severity depends on the type of radiation and the size of the dose received. UV radiation causes premature skin ageing and increases the risk of skin cancer (sun cream reduces over-exposure). X-rays and gamma rays are ionising radiation and can cause gene mutations that lead to cancer, so exposure — for example during medical imaging — is kept to the minimum needed.

Lenses4.6.2.5

A lens forms an image by refracting light. Light passing through the exact centre of a lens does not change direction. Each lens has focal points on either side, where parallel rays of light converge (or appear to diverge from).

Convex lensConcave lens
ShapeWider/thicker at the centre than at the edgesThinner at the centre than at the edges
Effect on lightFocuses (converges) parallel rays inward to a focal pointSpreads (diverges) parallel rays outward, as if they came from a focal point
Image typeCan form a real image (light actually converges there) or a virtual image, depending on distance to the objectCan only form a virtual image
Common usesMagnifying glasses, binoculars, correcting long-sightednessCorrecting short-sightedness
Converging and diverging lenses
Equation
magnification = image height ÷ object height

A real image is one where light rays actually converge and could be captured on a screen placed at that point. A virtual image is one where light rays only appear to diverge from a point (as with a reflection in a mirror or the enlarged image seen through a magnifying glass) — no screen placed there would show anything, because the light doesn't actually pass through that point.

Visible light4.6.2.6

Each colour in the visible spectrum corresponds to its own narrow band of wavelength and frequency: violet/blue light has the shortest wavelength and highest frequency, red light has the longest wavelength and lowest frequency. White light (such as sunlight) is a mixture of all the visible wavelengths together.

A colour filter works by absorbing every wavelength of light except the one(s) corresponding to its own colour, which it transmits.

Definition: The colour of an opaque object is determined by the wavelength(s) of light it reflects most strongly — the rest are absorbed. An object that reflects all wavelengths equally appears white; one that absorbs all wavelengths (reflecting none) appears black.

Objects that let light through are either transparent (allowing most light through with little scattering, so objects behind can be seen clearly) or translucent (scattering most of the light, so only some passes through and objects behind appear blurred).

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