Longitudinal waves of compressions and rarefactions. Hearing range, speed comparison across media, echoes, ultrasound, and pitch vs loudness on an oscilloscope.
At a glance
Sound is a LONGITUDINAL wave: compressions and rarefactions.
Needs a medium — does NOT travel through vacuum.
Speed of sound: solid > liquid > gas (closer particles → faster transfer).
Speed in air: ∼340m/s at room temperature.
Human hearing: 20Hz to 20,000Hz (decreases with age).
Pitch = frequency. Loudness = amplitude.
Echoes: reflection of sound. v=2d/t for echo distance.
Ultrasound: f>20,000Hz. Used in pre-natal scans, sonar.
What you’ll learn
Mapped to the Cambridge IGCSE 0625 syllabus (2026-2028).
3.7 — Describe sound as a longitudinal wave.
3.7 — State the typical speed of sound in air and compare with solid/liquid.
3.7 — State the typical hearing range of humans.
3.7 — Describe an echo and use v=2d/t.
3.7 — Describe properties and uses of ultrasound.
Sound as a longitudinal wave
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Compressions (close particles) and rarefactions (spread out) move along the direction of travel.
Sound is a mechanical, longitudinal wave. A vibrating source (vocal cords, speaker cone) pushes air molecules together, then pulls them apart. The pulse propagates as alternating regions of compression and rarefaction.
Particles vibrate along the direction of travel — bunched at compressions, spread at rarefactions.
No medium = no sound. A bell in a vacuum jar doesn't make audible sound — the air carrying the wave has been removed.
Drawing. Either:
Show particles bunched and spread (compression-rarefaction pattern), OR
Plot pressure vs position — a sine curve, but interpret peaks as compressions.
Speed of sound depends on medium.
Solid (steel): ∼5000m/s.
Liquid (water): ∼1500m/s.
Gas (air): ∼340m/s at 20°C.
Sound is FASTEST in solids — particles are closer, so collisions transfer energy more rapidly.
Sound is fastest in solids and slowest in gases — the closer the particles, the faster the wave travels.
Longitudinal wave.
Needs a medium.
Speed: solid > liquid > gas.
Speed in air: ∼340m/s.
Pitch and loudness — the oscilloscope view
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Pitch comes from frequency. Loudness comes from amplitude.
Pitch depends on FREQUENCY.
Higher frequency → higher pitch (treble).
Lower frequency → lower pitch (bass).
Loudness depends on AMPLITUDE.
Larger amplitude → louder.
Smaller amplitude → quieter.
Oscilloscope traces. A microphone connected to an oscilloscope shows sound as a wave on screen.
Higher pitch: more peaks per second → more cycles per division.
Louder: peaks taller → larger amplitude.
More peaks → higher pitch (frequency); taller peaks → louder (amplitude). Time-base kept the same on all four.
Worked qualitative. Two oscilloscope traces:
Trace A: low amplitude, short wavelength on screen → quiet AND high pitch.
Trace B: high amplitude, long wavelength → loud AND low pitch.
Cambridge tip. Oscilloscope time-base controls horizontal scale. To compare pitches, the time-base must be the SAME on both traces.
Pitch from frequency.
Loudness from amplitude.
Oscilloscope: visualise both at once.
Same time-base when comparing two sounds.
Echoes
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Echo = sound reflected off a hard surface. v=2d/t — sound travels there AND back.
Echo. When sound hits a hard surface (cliff, wall, sea floor), it reflects. If you're far enough away, you hear two distinct sounds: the original and the reflection.
Distance from echo timing.v=t2d,
where d is the distance to the reflector, t is the time between making the sound and hearing the echo. The factor of 2 accounts for the round trip.
Worked. Standing 170m from a cliff. Hear echo 1s after shouting.
v=2×170/1=340m/s. ✓ (matches speed of sound in air).
The sound covers the distance twice — there and back — which is why the formula has the factor of 2.
Sonar. Same idea on the sea: a ship sends a pulse downward, measures the time before the echo returns. Calculates depth.
Worked. Sonar pulse echoes back from sea floor in 0.4s. Speed of sound in water 1500m/s.
d=(v×t)/2=(1500×0.4)/2=300m deep.
Echo = reflected sound.
v=2d/t (round trip).
Sonar uses this for sea floor depth.
Ultrasound
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Sound above 20,000Hz — beyond human hearing. Used for safe imaging.
Ultrasound. Sound waves with frequency >20,000Hz. Can't be heard by humans.
Humans hear from about 20 Hz to 20 000 Hz; ultrasound lies just above the top of this range.
Uses.
Pre-natal scans: ultrasound waves bounce off internal tissues and a foetus; echoes are detected and converted into an image. Safe — no ionising radiation, unlike X-rays.
Industrial cleaning: ultrasound vibrations dislodge dirt from delicate parts (jewellery, electronics).
Echolocation by bats and dolphins: emit ultrasound and listen for echoes to navigate.
Sonar in ships and submarines: as above.
Quality control / flaw detection: ultrasound passes through metal castings; echoes from internal defects show up.
Why ultrasound for medical scans (not X-rays)?
Non-ionising → no risk of cell damage.
Soft-tissue contrast.
Why ultrasound for cleaning (not water alone)?
Vibrations cause cavitation (bubbles forming and collapsing) which physically dislodges contamination.
Ultrasound: f>20,000Hz.
Pre-natal scans: safe alternative to X-rays.
Industrial cleaning, echolocation, sonar.
Quick recap
Sound: longitudinal, needs medium.
Speed: solid > liquid > gas.
Air: ∼340m/s.
Hearing range: 20Hz to 20,000Hz.
Pitch ↔ frequency. Loudness ↔ amplitude.
v=2d/t for echoes.
Ultrasound: >20,000Hz, used in scans/sonar.
Memorise this
Verbatim phrases and definitions Cambridge mark schemes credit.
Sound wave — longitudinal pressure wave, requires a medium.
Pitch — perceived frequency of a sound.
Loudness — perceived amplitude of a sound.
Echo — reflection of sound from a hard surface.
Ultrasound — sound above 20,000Hz.
How it’s examined
Sound appears every Paper 2 (3-4 marks: hearing range, longitudinal/transverse) and many Paper 4s (5-7 marks: echo timing or oscilloscope trace comparisons). Examiner reports flag forgetting the factor of 2 in echo distance, and confusing pitch (frequency) with loudness (amplitude).
Step-by-step solutions to past-paper-style questions on sound, written exactly the way a tutor would explain them at the board.
Question type:
Question patterns to master — Sound
Almost every sound exam question is one of these shapes. Learn to spot each one and you will always know how to start.
Direct calculation▼
Recognise it by
A single find instruction using v=s/t or v=fλ with the sound travelling one way only.
How to approach it
Write the formula, substitute in SI units and solve — no halving needed when there is no echo.
Common trap
Examiner reports flag candidates halving a distance that was never a round trip — only do this for echoes and sonar.
Multi-step problem▼
Recognise it by
An echo or sonar pulse — sound travels there and back — or a scenario where you must justify an assumption before calculating.
How to approach it
Use d=vt for the total round-trip path, then halve it for the one-way distance; deal with any justification step first.
Common trap
Examiner reports flag candidates forgetting to halve the round-trip distance — an echo signal covers twice the wall (or sea-bed) distance.
Identify & classify▼
Recognise it by
Compare, place in order or label instructions — rank the speed of sound in different media, or define a compression and a rarefaction.
How to approach it
Recall the fixed links: pitch ↔ frequency, loudness ↔ amplitude, and sound fastest in solids; then state the order or definition cleanly.
Common trap
Examiner reports flag candidates linking pitch to amplitude or loudness to frequency, and claiming sound is fastest in air — it is fastest in solids.
Show that / prove▼
Recognise it by
Explain why — for example why a bell in a vacuum chamber cannot be heard.
How to approach it
State that sound is a longitudinal wave needing particles to compress and rarefy, then link the absence of a medium to the absence of sound.
Common trap
Examiner reports flag candidates confusing sound with light — sound needs a material medium, whereas EM waves travel through a vacuum.
Graph or diagram▼
Recognise it by
An oscilloscope trace — find the frequency or compare pitch and loudness by reading the waveform.
How to approach it
Read the period from the wave width and the time-base (T= divisions × time/division), then use f=1/T; compare cycle counts for pitch and peak heights for loudness.
Common trap
Examiner reports flag candidates forgetting to convert milliseconds to seconds before f=1/T, landing a factor of 1000 out.
1Speed of sound in air
CoreDirect calculation• speed
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Question
A clap is heard 0.4s after it is seen, from 136m away. Find the speed of sound.
Step-by-step solution
Step 1
v=s/t.
v=0.4136=340m/s
Answer
340m/s
2Echo distance
ExtendedMulti-step problem• Adapted from 0625/42 May/Jun 2024 Q15• echo
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Question
An echo of a clap returns after 1.2s. Take vsound=340m/s. Find the distance to the wall.
Step-by-step solution
Step 1
Sound travels there AND back. Total distance.
d=vt=340×1.2=408m
Step 2
One-way distance.
=2408=204m
Answer
204m
3Pitch vs loudness
CoreIdentify & classify• pitch, loudness
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Question
Two tuning forks. Fork A produces a higher-pitched sound than B; B produces a louder sound than A. Compare their frequency and amplitude.
Step-by-step solution
Step 1
Higher pitch → HIGHER frequency.
fA>fB
Step 2
Louder → larger amplitude.
amplitudeB>amplitudeA
Answer
fA>fB, ampB>ampA
4Sound cannot travel in a vacuum
CoreShow that / prove• vacuum
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Question
Explain why a bell ringing inside a vacuum chamber cannot be heard.
Step-by-step solution
Step 1
Sound is a longitudinal wave needing PARTICLES to compress and rarefy.
Step 2
A vacuum has no particles → no medium → no sound transmission.
Answer
Sound needs a material medium to propagate; a vacuum has no particles to oscillate.
5Speed of sound in air, water and steel
ExtendedIdentify & classify• Adapted from 0625/42 May/Jun 2023 Q15• speed, media
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Question
Approximate speeds of sound: air 340m/s, water 1500m/s, steel 5000m/s. (a) Place them in increasing order. (b) Explain in particle terms why sound travels faster in solids than in gases.
Step-by-step solution
Step 1
Increasing order.
vair<vwater<vsteel
Step 2
In a solid, particles are CLOSE together and strongly bonded. A compression at one particle is passed almost instantly to the next.
Step 3
In a gas, particles are far apart and only interact via collisions, so the compression travels much more slowly.
Answer
(a) air < water < steel. (b) Sound is fastest in solids because particles are closer together and more strongly bonded → quicker transfer of the compression.
6Find frequency from an oscilloscope trace
ExtendedGraph or diagram• period, oscilloscope
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Question
An oscilloscope is set to a time-base of 2ms per division. One complete waveform of a pure tone fits in exactly 4 divisions. Find the period and the frequency.
Step-by-step solution
Step 1
Period = width of one wave in seconds.
T=4×2ms=8ms=8×10−3s
Step 2
f=1/T.
f=8×10−31=125Hz
Answer
T=8ms; f=125Hz
Examiner tip
The examiner report flags candidates often forget to convert milliseconds to seconds before computing f=1/T, ending up with f=125kHz instead of 125Hz.
7Ultrasound application — sonar depth
ExtendedMulti-step problem• ultrasound, sonar
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Question
A ship's sonar emits an ultrasound pulse vertically downwards. The echo returns 0.40s later. The speed of sound in seawater is 1500m/s. Find the depth of the sea below the ship.
Step-by-step solution
Step 1
Sound travels DOWN and back UP.
2d=vt=1500×0.40=600m
Step 2
One-way depth.
d=2600=300m
Answer
d=300m
8Pitch vs loudness from oscilloscope traces
ExtendedGraph or diagram• oscilloscope, pitch, loudness
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Question
Two oscilloscope traces use the SAME time-base and gain. Trace P has 4 cycles in 10 divisions and peaks at 2 divisions above zero. Trace Q has 2 cycles in 10 divisions and peaks at 3 divisions above zero. Compare the pitches and loudnesses.
Step-by-step solution
Step 1
More cycles per division → higher frequency → higher pitch. Trace P has TWICE as many cycles as Q, so fP=2fQ.
Step 2
Bigger peak height → larger amplitude → louder. Trace Q has 1.5× the amplitude of P, so Q is louder.
Answer
P is higher in pitch (twice the frequency of Q). Q is louder than P (1.5× amplitude).
9Compressions and rarefactions in a sound wave
ExtendedIdentify & classify• longitudinal
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Question
A tuning fork vibrates and sends sound through air. (a) Label what is meant by a COMPRESSION and a RAREFACTION. (b) State the relationship between the wavelength of the sound and the spacing of the compressions.
Step-by-step solution
Step 1
(a) Compression: a region where particles are closer together than average (high pressure).
Step 2
(a) Rarefaction: a region where particles are further apart than average (low pressure).
Step 3
(b) The wavelength of a sound wave is the distance from one compression to the next compression (or one rarefaction to the next).
ChallengeMulti-step problem• Adapted from 0625/42 Oct/Nov 2024 Q15• synoptic
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Question
A student sees a flash of lightning, then hears the thunder 4.5s later. Take vlight≈3.0×108m/s and vsound=340m/s. (a) Justify ignoring the travel time of light. (b) Find the distance to the lightning, in km.
Step-by-step solution
Step 1
(a) For any reasonable storm distance (a few km), light takes microseconds while sound takes seconds. Light's travel time is negligible compared with sound's.
Step 2
(b) All of the 4.5s is taken by sound travelling from the lightning to the student.
d=vt=340×4.5
Step 3
Compute and convert.
d=1530m≈1.5km
Answer
(a) Light is roughly 106 times faster than sound → its travel time is negligible. (b) d≈1.5km.
Model Answers — Sound
High-scoring sample answers for sound on the Cambridge IGCSE 0625 paper, with examiner-style notes mapping each response to the mark scheme and assessment objectives.
Question 1
Paper 2/4 short-answer style1 mark
Explain why sound cannot travel through a vacuum.
Model answer
Sound is a wave that needs particles of a medium to travel (it is passed on by particles vibrating/colliding). A vacuum has no particles, so there is nothing to carry the vibrations and the sound cannot travel.
Why this scores
One mark for sound needing a material medium / particles to travel, which a vacuum lacks. The contrast with light (which does cross a vacuum) is worth noting.
Question 2
Paper 2/4 style2 marks
A student stands 170m from a wall and bangs two blocks together. The sound of each bang is heard 0.50s after it is made, by a distant observer at the same distance. Calculate the speed of sound.
Model answer
v=timedistance=0.50170=340m/s.
Why this scores
One mark for v=s/t, one for 340m/s — the typical speed of sound in air. (No halving here, because the sound travels one way only.)
Question 3
Paper 4 structured style3 marks
Two notes are played. Note X has a higher pitch than note Y, and note Y is louder than note X. Compare the two notes in terms of their frequency and their amplitude.
Model answer
Pitch depends on frequency: since X has the higher pitch, X has the higher frequency than Y. Loudness depends on amplitude: since Y is louder, Y has the larger amplitude than X. (So X = higher frequency, smaller amplitude; Y = lower frequency, larger amplitude.)
Why this scores
Three marks: pitch linked to frequency so X has higher frequency (1); loudness linked to amplitude so Y has larger amplitude (1); a clear, correctly matched comparison (1). Linking pitch to amplitude (or loudness to frequency) is the standard error.
Question 4
Paper 4 structured style4 marks
A person claps their hands and hears the echo from a cliff 0.30s later. The speed of sound in air is 340m/s. Calculate the distance from the person to the cliff.
Model answer
The sound travels to the cliff and back, so the total path length is
dtotal=vt=340×0.30=102m.
This is twice the distance to the cliff, so the distance to the cliff is
d=2102=51m.
Why this scores
Four marks: recognise the sound makes a round trip (1); total distance vt=102m (1); halve it (1); 51m (1). Forgetting to halve the round-trip distance is the recurring echo/sonar error.
Question 5
Paper 6 / Paper 4 extended style5 marks
(a) Explain, in terms of particles, why sound travels faster in a solid such as steel than in air. (b) Describe a method to measure the speed of sound in air using an echo, stating the measurements taken and how the speed is calculated.
Model answer
(a) In a solid the particles are very close together and strongly bonded, so a vibration (compression) is passed on from one particle to the next almost immediately. In a gas the particles are far apart and interact only when they collide, so the vibration is passed on more slowly — hence sound is faster in steel than in air.
(b) Stand a measured distance d (e.g. 50m) from a large wall. Make a sharp sound (clap or bang two blocks) and start a stopwatch, stopping it when the echo is heard; record the time t for the sound to travel to the wall and back. The sound covers 2d, so the speed is v=t2d. Repeat and average to reduce timing (reaction-time) error.
Why this scores
Five marks: solid particles close/strongly bonded pass the vibration quickly (1) vs gas particles far apart (1); measure distance to wall (1); time the echo (1); v=2d/t with repeat/average (1).
Question 6
Paper 4 multi-part structured style6 marks
(a) State what is meant by ultrasound. (b) A ship's sonar sends an ultrasound pulse straight down and detects the echo from the sea bed 0.18s later. The speed of sound in seawater is 1500m/s; calculate the depth of the sea. (c) State two other uses of ultrasound.
Model answer
(a) Ultrasound is sound with a frequency above the upper limit of human hearing — above about 20000Hz (20 kHz).
(b) The pulse travels down and back, a total distance 2d=vt=1500×0.18=270m. So the depth is
d=2270=135m.
(c) Any two of: medical scanning (e.g. imaging a fetus), cleaning delicate objects, checking/detecting flaws in metals, or physiotherapy.
Why this scores
Six marks: ultrasound is sound above ~20 kHz (1); recognise the round trip 2d=vt (1) and value 270m (1); halve to 135m (1); two further uses (1 each). For sonar and scanning, always halve the round-trip distance.
Key Formulae — Sound
The formulae you need to memorise for sound on the Cambridge IGCSE 0625 paper, with every variable defined in plain English and a note on when to use it.
Speed of sound
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vair≈340m/s (varies with temperature, humidity)
When to use
Air at room temperature.
Wave equation (sound)
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v=fλ
When to use
Connect frequency, wavelength and speed of sound.
Key Definitions and Keywords — Sound
Definitions to memorise and the exact keywords mark schemes credit for sound answers — sharpened from recent examiner reports for the 2026 0625 sitting.
Sound wave
Examiner keyword▼
A longitudinal mechanical wave caused by the vibration of particles in a medium.
Pitch
Examiner keyword▼
Determined by frequency. Higher frequency → higher pitch.
Loudness
Examiner keyword▼
Determined by amplitude. Larger amplitude → louder sound.
Audible range
Examiner keyword▼
Approximately 20Hz to 20,000Hz for a healthy young human.
Ultrasound
Examiner keyword▼
Sound with frequency above 20,000Hz. Used in medical imaging and sonar.
Common Mistakes and Misconceptions — Sound
The traps other students keep falling into on sound questions — taken from recent Cambridge IGCSE 0625 examiner reports and mark schemes — and how to avoid them.
✕Saying sound travels through a vacuum
0625/42 — recurring
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Why it happens
Confusing with light/EM.
How to avoid it
Sound needs a medium. Light does not.
✕Linking pitch to amplitude (or loudness to frequency)
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Why it happens
Mixing the two properties.
How to avoid it
Pitch ↔ frequency. Loudness ↔ amplitude.
✕Forgetting to halve the round-trip distance for echoes
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Why it happens
Computing d=vt once.
How to avoid it
An echo is a there-and-back signal — divide the total distance by 2 for the wall distance.
✕Saying sound is fastest in air
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Why it happens
Daily-life experience.
How to avoid it
Sound is fastest in SOLIDS, slower in liquids, slowest in gases (closer particles → faster transfer).
Sound — frequently asked questions
The things students keep getting wrong in this sub-topic, answered.