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CCEA GCSE Physics · Waves
Mini-Lesson

Waves

This mini-lesson walks you through the whole of the CCEA Waves sub-topic: transverse vs longitudinal waves, the wave properties (amplitude, wavelength, frequency, period), the equations v = f λ, v = d ÷ t and T = 1/f, then sound, echoes, sonar and seismic waves.

energy travels → but the matter only vibrates in place
A wave is a vibration that transfers energy from place to place without transferring matter.

Work through each screen, answer the questions as you go (some are wordy, some are calculations) and collect ⭐ stars. Press Start when you're ready.

What a wave is

Waves carry energy, not matter

A wave is a disturbance that transfers energy from one place to another without transferring matter. The particles (or fields) only vibrate about a fixed point — they don't travel with the wave.

  • A cork on the sea bobs up and down as waves pass — it doesn't get carried to the shore.
  • Sound passes across a room, but the air itself stays put — only the energy moves.

Watch out — top misconception: waves do not carry the medium along. They transfer energy only; each particle just oscillates and returns to where it started.

Quick check

What does a wave move?

?A duck floats on a pond. A water wave passes underneath it. What does the wave transfer to the duck's position?
Two types of wave

Transverse and longitudinal

CCEA splits all waves into two types by how the vibrations line up with the direction of energy transfer:

  • Transverse — the vibrations are at right angles (perpendicular) to the direction the wave travels. Examples: water waves, waves on a stretched rope/slinky moved side to side, and all light/electromagnetic waves.
  • Longitudinal — the vibrations are parallel to (along) the direction the wave travels. Examples: sound waves and ultrasound.
Transverse wave → vibration ⟂ Longitudinal compression rarefaction compression vibration is along the same line the wave travels →
Top: a transverse wave (vibration ⟂ to travel). Bottom: a longitudinal wave with compressions (particles bunched) and rarefactions (particles spread out).

Slinky demo: shake a slinky side to side for a transverse wave; push it back and forth along its length for a longitudinal wave.

Sort it

Transverse or longitudinal?

Tap the correct wave type for each example.

Describing a wave

Amplitude, wavelength, frequency

  • Amplitude — the maximum displacement of a point from its undisturbed (rest) position. Bigger amplitude = more energy. Unit: metres (m).
  • Wavelength (λ) — the distance for the wave pattern to repeat once, e.g. crest to crest. Unit: metres (m).
  • Frequency (f) — the number of complete waves passing a point each second. Unit: hertz (Hz).
amplitude wavelength λ (crest → crest) crest trough
Amplitude is measured from the rest line to a crest; wavelength λ spans one full repeat (here crest to crest).

Easy slip: amplitude is measured from the middle (rest) line to the crest — not from trough all the way up to crest (that's twice the amplitude).

Quick check

Reading a wave

?On a wave diagram, the distance from one crest to the very next crest measures 0.6 m. What quantity is this?
Period & frequency

Period: how long one wave takes

The period (T) is the time taken for one complete wave to pass a point. It is the reciprocal of frequency:

T = 1 ÷ fperiod (s) = 1 ÷ frequency (Hz) · and f = 1 ÷ T

So a high frequency means a short period, and vice-versa. If 5 waves pass each second (f = 5 Hz), each one takes T = 1 ÷ 5 = 0.2 s.

Worked example

A sound source has a frequency of 250 Hz.

T = 1 ÷ f = 1 ÷ 250 = 0.004 s

Calculate

Your turn — period

1A wave has a frequency of 40 Hz. Calculate its period.
s
Hint: T = 1 ÷ f = 1 ÷ 40.
The wave equation

Wave speed: v = f λ

For any wave, the wave speed is the frequency multiplied by the wavelength:

v = f λwave speed (m/s) = frequency (Hz) × wavelength (m)

Rearranged: f = v ÷ λ and λ = v ÷ f.

Worked example

A water wave has frequency 2 Hz and wavelength 3 m.

v = f λ = 2 × 3 = 6 m/s

Misconception: a wave's speed is fixed by the medium it travels through — not by its frequency. Raise the frequency in the same medium and the wavelength simply gets shorter so that v = f λ stays the same.

Calculate

Your turn — wave speed

2A wave has a frequency of 50 Hz and a wavelength of 4 m. Calculate its speed.
m/s
Hint: v = f λ = 50 × 4.
Calculate

Your turn — find the wavelength

3A wave travels at 320 m/s with a frequency of 80 Hz. Calculate its wavelength.
m
Hint: rearrange v = f λ to λ = v ÷ f = 320 ÷ 80.
Required practical

Measuring wave speed: v = d ÷ t

Speed can also be found from how far the wave travels in a given time:

v = d ÷ twave speed (m/s) = distance travelled (m) ÷ time taken (s)

This is the basis of the measuring wave speed practical:

  • Water (ripple tank): count how many waves pass a point in a measured time to get f; freeze the image to measure λ; then use v = f λ.
  • Along a string/slinky: time a pulse over a measured distance and use v = d ÷ t.
Worked example

A pulse travels 12 m along a rope in 0.4 s.

v = d ÷ t = 12 ÷ 0.4 = 30 m/s

Calculate

Your turn — speed from distance & time

4A wave pulse travels 90 m along a stretched spring in 0.30 s. Calculate the wave speed.
m/s
Hint: v = d ÷ t = 90 ÷ 0.30.
Sound waves

Sound is a longitudinal wave

Sound is a longitudinal wave made of compressions and rarefactions travelling through a medium. Because the particles must pass the vibration on, sound needs a medium — solid, liquid or gas — and cannot travel through a vacuum.

  • The frequency of a sound sets its pitch — higher frequency = higher pitch.
  • The amplitude of a sound sets its loudness (volume) — bigger amplitude = louder.
  • Humans can hear roughly 20 Hz to 20 000 Hz (20 kHz).
  • The speed of sound differs in different media — fastest in solids, slowest in gases (about 330–340 m/s in air).

Misconception: sound is not "carried by the air moving across the room". The air particles just oscillate back and forth, passing the energy on. In space (no particles) there is no sound at all.

Quick check

Sound in space

?Two astronauts float in the vacuum of space. One shouts loudly toward the other. What happens?
Echoes & sonar

Reflected sound: echoes & sonar

An echo is sound that has reflected off a surface and is heard again. If you know the speed of sound and time the echo, you can find a distance with d = v × t.

d = v × tdistance (m) = speed of sound (m/s) × time (s)
pulse down echo back sea bed depth = ½ × v × t
Sonar sends a pulse and times the echo. The pulse travels down and back, so the depth is half the total distance.

Don't forget the "there and back": the timed echo covers double the distance to the object, so depth = ½ × v × t. Radar works the same way but uses radio waves (which travel at the speed of light).

Calculate

Your turn — echo timing

5A ship sends a sonar pulse straight down. The echo returns 0.4 s later. The speed of sound in water is 1500 m/s. How deep is the sea bed?
m
Hint: total distance = v × t = 1500 × 0.4. The depth is HALF of that.
Calculate

Your turn — speed of sound

6A student claps near a wall 165 m away and hears the echo 1.0 s later. Use d = v × t (remember the sound goes there and back) to calculate the speed of sound in air.
m/s
Hint: total distance = 2 × 165 = 330 m, in 1.0 s, so v = 330 ÷ 1.0.
Seismic waves

Seismic waves & the Earth

Earthquakes send out seismic waves through the Earth. There are two types CCEA expects you to know:

  • P-waves (primary)longitudinal, the faster waves, and they travel through both solids and liquids.
  • S-waves (secondary)transverse, slower, and they travel through solids only (not liquids).
mantle (solid) outer core (liquid) inner P-wave: through liquid ✓ S-wave: stops at liquid core ✗
P-waves pass through the liquid outer core; S-waves are blocked by it — strong evidence that the outer core is liquid, revealing the Earth's layered structure.
Quick check

Reading the Earth

?Seismometers on the far side of the Earth detect P-waves from an earthquake but no S-waves. What does this tell us?
Sort it

Transverse or longitudinal?

Tap a wave, then tap the box it belongs in.

〰️ Transverse

➿ Longitudinal

Match-up

Match the term to its meaning

Tap a term on the left, then its matching description on the right.

Recap

The facts & equations to know

Wave types: transverse (vibration ⟂ travel) · longitudinal (vibration ∥ travel)

Wave speed: v = f λ

Speed from distance: v = d ÷ t

Period: T = 1 ÷ f

Echo / sonar: d = v × t (halve it for "there and back")

Sound: longitudinal · needs a medium · pitch ← frequency · loudness ← amplitude · hearing 20 Hz–20 kHz

Seismic: P-waves longitudinal (through solid & liquid) · S-waves transverse (solid only)

You've covered the whole CCEA Waves sub-topic — wave types, properties, the equations, sound, echoes & sonar, and seismic waves. Press Finish to see your score.

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Mini-lesson complete!

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