Grade 9 · Energy & Change · Lesson 1

Waves & the Electromagnetic Spectrum

Investigate transverse and longitudinal waves, their properties, and explore the full electromagnetic spectrum from radio waves to gamma rays.

What is a Wave?

A wave is a disturbance that transfers energy from one place to another without transferring matter. The particles (or fields) through which the wave moves vibrate but do not travel with the wave — they return to their rest position after the wave passes.

Key idea: Waves carry energy, not matter. A cork floating on water bobs up and down as a wave passes — it does not travel with the wave.

Types of Waves

TypeParticle vibration directionExamples
TransversePerpendicular (at right angles) to the direction the wave travelsLight, all EM waves, water surface waves, waves on a string
LongitudinalParallel (in the same direction) to the direction the wave travels — creates compressions and rarefactionsSound waves, P-waves in earthquakes, sound in air

In a longitudinal wave, regions where particles are bunched together are called compressions and regions where they are spread apart are called rarefactions.

Wave Properties

PropertySymbolDefinitionUnit
AmplitudeAMaximum displacement of a particle from its rest position. Determines the energy (intensity) of the wave.metres (m)
Wavelengthλ (lambda)Distance between two identical consecutive points — e.g. crest to crest or trough to trough.metres (m)
FrequencyfNumber of complete wave cycles passing a point per second.Hertz (Hz)
PeriodTTime taken for one complete wave cycle.seconds (s)
Wave speedvDistance travelled by the wave per second.m/s
T = 1 / f   ·   v = f × λ

A higher amplitude means more energy. A higher frequency means shorter wavelength (for a given wave speed). Period and frequency are reciprocals of each other.

Example: Sound wave with f = 440 Hz and v = 340 m/s → λ = v/f = 340/440 ≈ 0.77 m

Wave Behaviours

The Electromagnetic Spectrum

Electromagnetic (EM) waves are transverse waves that consist of oscillating electric and magnetic fields at right angles to each other and to the direction of travel. Unlike sound, they do not need a medium to travel — they can move through a vacuum.

All EM waves in a vacuum: speed = 3 × 10⁸ m/s (speed of light, c). They differ only in frequency and wavelength.

The EM spectrum is a continuous range ordered by frequency (or wavelength). From lowest frequency / longest wavelength to highest frequency / shortest wavelength:

TypeApprox. wavelengthFrequency rangeApplications
Radio waves> 0.1 m< 3 GHzAM/FM broadcasting, TV, long-distance communication
Microwaves1 mm – 0.1 m3 GHz – 300 GHzMicrowave cooking, radar, satellite and mobile communication
Infrared (IR)700 nm – 1 mm300 GHz – 430 THzThermal cameras, TV remotes, night vision, heat lamps
Visible light400 nm – 700 nm430 THz – 750 THzHuman vision, photography, fibre optics
Ultraviolet (UV)10 nm – 400 nm750 THz – 30 PHzSterilisation, causing sunburn, fluorescence, vitamin D production
X-rays0.01 nm – 10 nm30 PHz – 30 EHzMedical imaging, airport security screening, material analysis
Gamma rays (γ)< 0.01 nm> 30 EHzCancer radiotherapy, nuclear reactions, sterilising food/equipment
Danger and frequency: Higher frequency EM waves carry more energy per photon (E = hf). This is why gamma rays and X-rays are ionising — they have enough energy to knock electrons from atoms, damaging DNA and living tissue. Gamma rays are the most dangerous EM waves.

Visible Light and Colour

Visible light occupies only a tiny portion of the EM spectrum. White light is a mixture of all colours (wavelengths). A prism or raindrop separates white light into the spectrum: red → orange → yellow → green → blue → indigo → violet (ROYGBIV) — red has the longest wavelength and lowest frequency; violet has the shortest wavelength and highest frequency in visible light.

Wave Visualiser & EM Spectrum Explorer

Switch between Wave mode (animated transverse wave) and EM Spectrum mode (click or drag to explore each band).

Transverse Wave

Frequency
Frequency
1.2 Hz
Period
0.83 s
Amplitude
Amplitude
0.6 units
Wavelength
— m
0/8
Review the explanations for any you missed.
Answer all questions in your exercise book. Show all calculations with units. Draw diagrams where asked.
Question 1 · (4 marks)
A sound wave has a frequency of 680 Hz and travels at 340 m/s. (a) Calculate the wavelength of the sound wave. (b) Calculate the period of the wave. Show all working.
Question 2 · (4 marks)
Compare transverse and longitudinal waves. In your answer: (a) define each type, (b) state the direction of particle vibration relative to wave travel for each, (c) give TWO examples of each.
Question 3 · (4 marks)
List ALL seven regions of the electromagnetic spectrum in order from lowest to highest frequency. For each region, give ONE practical application.
Question 4 · (3 marks)
A radio wave has a wavelength of 3 m. Given that all EM waves travel at 3 × 10⁸ m/s, calculate: (a) the frequency of this wave, (b) the period of this wave.
Question 5 · (3 marks)
Explain why gamma rays are considered the most dangerous type of electromagnetic radiation. In your answer, refer to frequency, energy per photon, and the effect on living cells.