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Sound: How We Hear the World

From a vibrating string to a signal in your brain: how sound is made, how it travels, how we measure it and how the ear detects it, with diagrams and worked examples.

EDUSAMBAM Editorial Team | 17 min read | Science | Last updated: October 2026
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Press your fingertips lightly against your throat and hum. You can feel a buzzing, and that buzzing is the source of the sound you hear. Every sound, from a whisper to a thunderclap, begins with something vibrating. The vibration pushes on the surrounding air, the push travels outwards as a wave, and the wave eventually makes your eardrum vibrate too. This article follows that whole journey, from the vibrating source to the signal that your brain recognises as speech or music.

In this article
  1. What sound is
  2. Why sound needs a medium
  3. Frequency, wavelength and amplitude
  4. Pitch, loudness and quality
  5. The speed of sound
  6. Measuring loudness: the decibel
  7. Reflection, echoes and sonar
  8. Absorption, diffraction and interference
  9. Musical instruments and resonance
  10. The Doppler effect
  11. Ultrasound and infrasound
  12. How the human ear works
  13. Protecting your hearing
  14. Common mistakes
  15. Check your understanding
What you will be able to do

1.What Sound Is

Sound is a wave created by a vibrating object. When a guitar string, a loudspeaker cone or your vocal cords move back and forth, they push and pull on the nearby air particles. Those particles do not travel across the room. Each one only moves a tiny distance back and forth around its resting position, but it bumps into its neighbour and passes the disturbance along, like a row of people passing a message down a line while staying in their places.

Sound is a longitudinal wave. This means the particles vibrate parallel to the direction in which the wave travels. (In a transverse wave, such as a wave on a rope or a ripple on water, the vibration is at right angles to the direction of travel.) A longitudinal wave is made of alternating regions:

Sound is also a mechanical wave: it carries energy from one place to another by passing vibrations through matter, not by moving the matter itself.

A sound wave moving through air particles Three rows of dots represent air particles. Each dot moves slightly left and right, but the places where dots bunch together and spread apart move from left to right, showing compressions and rarefactions travelling as a wave. Air particles in a sound wave (animated) Crowded dots = compression · spread-out dots = rarefaction · wave travels → gold dot
Figure 1. Each particle only vibrates about a fixed position. The pattern of crowding and spreading moves to the right, and that moving pattern is the sound wave. The gold dots are the same particle in each row; follow one and see that it stays in place. (Original EDUSAMBAM diagram.)

2.Why Sound Needs a Medium

Because sound is passed from particle to particle, it needs a medium (a substance to travel through). It can travel through gases, liquids and solids. It cannot travel through a vacuum, which is empty space with no particles. A well-known demonstration places a ringing bell inside a sealed jar and slowly pumps the air out: the sound grows fainter and fainter, although the bell can still be seen vibrating. This is also why, in the near-vacuum of outer space, there is no sound that travels from one spacecraft to another; astronauts communicate by radio, which uses electromagnetic waves, not sound.

Generally, sound travels fastest in solids, more slowly in liquids and slowest in gases, because the particles in a solid are closer together and spring back more quickly.

3.Frequency, Wavelength and Amplitude

Any regular wave can be described with a small set of quantities:

QuantitySymbolMeaningUnit
FrequencyfNumber of complete vibrations (cycles) per secondhertz (Hz)
PeriodTTime for one complete vibration; T = 1 ÷ fsecond (s)
Wavelengthλ (lambda)Distance between two neighbouring compressions (or two neighbouring identical points)metre (m)
AmplitudeAMaximum displacement from the rest position; related to the energy of the wavedepends on what is measured
Wave speedvDistance the wave travels each secondmetre per second (m/s)

These are linked by the wave equation:

Formula

v = f × λ   (speed = frequency × wavelength)

If a wave moves into a new medium, its frequency stays the same (it is set by the source), but its speed and wavelength both change.

Worked example 1: wavelength of a musical note

The note A above middle C has a frequency of 440 Hz. Find its wavelength in air, where the speed of sound is 343 m/s, and its period.

Step 1. Rearrange v = fλ to λ = v ÷ f.

Step 2. Substitute: λ = 343 m/s ÷ 440 Hz.

Step 3. Calculate: λ ≈ 0.78 m.

Step 4. Period: T = 1 ÷ f = 1 ÷ 440 Hz ≈ 0.0023 s (2.3 milliseconds).

Worked example 2: the same note in water

The same 440 Hz sound enters water, where sound travels at about 1480 m/s. What is the new wavelength?

The frequency is unchanged at 440 Hz. λ = v ÷ f = 1480 m/s ÷ 440 Hz ≈ 3.4 m. The wavelength is about four times longer than in air, because the speed is about four times greater.

Wave graph showing wavelength and amplitude, and traces for pitch and loudness Top: one wave drawn as displacement against distance, with wavelength and amplitude labelled. Bottom: three traces showing a normal sound, a higher pitch sound with more waves in the same time, and a louder sound with taller waves. amplitude wavelength λ (crest to crest) rest line normal higher pitch louder (same time window for each)
Figure 2. Top: a wave drawn as a graph of displacement against distance. Bottom: a higher pitch means more cycles in the same time (higher frequency); a louder sound means taller waves (larger amplitude). (Original EDUSAMBAM diagram.)

4.Pitch, Loudness and Quality

Three features of a sound are easy to notice:

An oscilloscope or a microphone connected to a computer can display these wave shapes, and this is a good classroom experiment: sing a note, then sing it louder, then sing a higher one, and watch what changes.

5.The Speed of Sound

The speed of sound depends on the medium and its temperature, but not on how loud or how high-pitched the sound is. In dry air at 20 °C it is about 343 m/s, which is roughly 1235 km/h. In air the speed rises with temperature by about 0.6 m/s for each degree Celsius, so the value is close to 331 m/s at 0 °C. The values below are approximate and differ slightly between sources and conditions.

Approximate speed of sound in air, water and steel A bar chart. The bar for air is short at about 343 metres per second, water is longer at about 1480, and steel is longest at roughly 5000. Approximate speed of sound (m/s) Air (20 °C)WaterSteel ≈ 343≈ 1480≈ 5000 and above
Figure 3. Sound travels much faster in denser, stiffer materials. Bar lengths are drawn to approximate scale; exact values depend on temperature, pressure and the type of steel. (Original EDUSAMBAM diagram.)
Worked example 3: thunder and lightning

You see a flash of lightning and hear the thunder 6.0 s later. How far away was the strike?

Light is so fast (about 300 million m/s) that we can treat the flash as instant. Only the sound takes noticeable time.

distance = speed × time = 343 m/s × 6.0 s ≈ 2058 m ≈ 2.1 km.

Rule of thumb: about 3 seconds for each kilometre. If the gap between flash and bang is very short, take shelter indoors.

6.Measuring Loudness: The Decibel

The loudness of a sound is measured on the decibel (dB) scale. The scale is logarithmic, which means equal steps on the scale represent equal multiples of sound intensity, not equal additions. An increase of 10 dB is a tenfold increase in sound intensity, and an increase of about 3 dB is a doubling of intensity. Our ears do not judge loudness in a simple way, but a 10 dB rise is usually heard as roughly twice as loud.

SoundApproximate level
Whisperabout 30 dB
Normal conversationabout 60 dB
Busy road trafficabout 80 dB
Power tools or lawn mowerabout 90 dB
Loud concert or very loud headphonesabout 100–110 dB
Sounds felt as painfulabout 120–130 dB and above

These are typical, rounded values that vary with distance and the exact source. Hearing damage depends on both the level and the time of exposure, which is why a very loud sound can harm in minutes while a moderate one takes hours.

7.Reflection, Echoes and Sonar

When a sound wave meets a hard, smooth surface such as a wall or a cliff, most of it is reflected, and the law of reflection applies: the angle of incidence equals the angle of reflection. An echo is a reflected sound that you can hear separately. To hear it as distinct from the original, the delay should be at least about 0.1 s. With sound at 343 m/s, the round trip in 0.1 s is about 34 m, so the reflecting surface must be at least about 17 m away. In smaller rooms, reflections arrive so quickly that they merge with the original sound; this is called reverberation.

Engineers use reflection in sonar (sound navigation and ranging). A ship sends out a pulse of sound (often ultrasound) and measures the time until the echo returns from the sea bed or from a shoal of fish. Since the pulse travels down and back, the depth is half of the total distance:

Formula

distance = speed × time ÷ 2 (time is for the round trip)

Worked example 4: sonar

A ship's sonar pulse returns after 0.50 s. Sound in sea water travels at about 1480 m/s. How deep is the water?

Step 1. Total distance travelled = 1480 m/s × 0.50 s = 740 m.

Step 2. The pulse went down and back, so depth = 740 m ÷ 2 = 370 m.

Worked example 5: an echo

A student shouts towards a cliff and hears the echo 1.2 s later. How far away is the cliff (speed of sound 343 m/s)?

Total distance = 343 × 1.2 = 411.6 m. Distance to cliff = 411.6 ÷ 2 ≈ 206 m.

Sonar measuring the depth of the sea A ship at the surface sends a sound pulse down to the sea bed and the echo returns. The depth equals half the distance travelled by the pulse. pulse sentecho back depth d d = v × t ÷ 2
Figure 4. Sonar. The pulse travels to the sea bed and back, so the depth is half of speed × round-trip time. (Original EDUSAMBAM diagram.)

8.Absorption, Diffraction and Interference

Absorption. Soft, porous materials such as curtains, carpets and foam take in sound energy instead of reflecting it, converting a little of it to heat. Concert halls and recording studios use a carefully chosen mix of reflecting and absorbing surfaces to control echoes.

Diffraction. Waves spread out when they pass through a gap or around an obstacle. You can hear someone talking in the next room even when you cannot see them, because sound bends around the door frame. Sound diffracts easily because its wavelengths in air (from a few centimetres to several metres) are similar in size to doorways and everyday objects.

Interference. When two sound waves meet, they add together. If a compression meets a compression, the sound gets louder; if a compression meets a rarefaction of equal size, they can cancel. Noise-cancelling headphones use this idea: a microphone detects outside noise and the headphones play a matching "opposite" wave that cancels part of it, especially steady low-frequency noise such as engine hum.

9.Musical Instruments and Resonance

Instruments make sound by making something vibrate, and they let you change the frequency in predictable ways.

Every object has one or more natural frequencies at which it vibrates most easily. If a regular push or sound matches a natural frequency, the vibrations build up. This is called resonance. A child on a swing shows it well: small pushes timed with the swing's natural rhythm make it go high. Resonance helps instruments sound loud (a guitar's hollow body vibrates in sympathy with the strings), and engineers have to design buildings, bridges and machines so that ordinary vibrations do not match their natural frequencies.

10.The Doppler Effect

When a sound source moves towards you, each new wave crest starts from a point closer to you than the last, so the crests arrive more often and you hear a higher frequency. When the source moves away, the crests arrive less often and you hear a lower frequency. This is the Doppler effect, named after the Austrian physicist Christian Doppler. It explains why an ambulance siren seems to drop in pitch as it passes you. Notice that the siren's own frequency has not changed; only the frequency you receive has. Radar speed guns and some medical blood-flow scanners use related Doppler principles with other types of waves.

11.Ultrasound and Infrasound

Young people with healthy hearing can usually detect frequencies from about 20 Hz to 20 000 Hz. The upper limit falls with age and with hearing damage. Sounds above this range are ultrasound; sounds below it are infrasound.

Many animals hear different ranges from humans. Dogs, for example, hear higher frequencies than we do, which is why a dog whistle seems silent to us.

12.How the Human Ear Works

The ear is a remarkably sensitive detector. It has three main parts:

  1. Outer ear. The pinna (the visible part) collects sound and funnels it along the ear canal to the eardrum.
  2. Middle ear. Sound waves make the eardrum vibrate. Three tiny bones, the malleus, incus and stapes (the ossicles), carry and strengthen the vibrations to the oval window of the inner ear. The Eustachian tube links the middle ear to the throat and helps equalise air pressure, which is why your ears "pop" when you change altitude.
  3. Inner ear. The cochlea is a coiled, fluid-filled tube lined with thousands of tiny hair cells. Vibrations in the fluid bend the hair cells, which send electrical signals along the auditory nerve to the brain. Different positions along the cochlea respond best to different frequencies, which is how we tell pitch. The inner ear also contains the semicircular canals, which help with balance.
Simplified diagram of the human ear Sound enters the outer ear, travels along the ear canal to the eardrum, is passed by three small bones to the cochlea, which sends signals along the auditory nerve to the brain. outer ear ear canal eardrum 3 small bones(ossicles) middle ear cochlea inner ear auditory nerve brain Simplified schematic — not to scale
Figure 5. The path of sound through the ear: pinna → ear canal → eardrum → three small bones → cochlea → auditory nerve → brain. (Original EDUSAMBAM schematic.)

13.Protecting Your Hearing

The hair cells in the cochlea do not regrow in humans, so hearing damage from loud noise is usually permanent. Health agencies such as the US National Institute for Occupational Safety and Health (NIOSH) recommend limiting exposure to 85 dBA over 8 hours, and every 3 dB above that halves the safe time. The World Health Organization also publishes guidance on safe listening with personal audio devices.

14.Common Mistakes to Avoid

Watch out

15.Check Your Understanding

Try each question before opening the answer.

1. Why can sound not travel through a vacuum?

Sound is passed from particle to particle, so it needs a medium. A vacuum has no particles to vibrate.

2. A tuning fork vibrates 256 times in one second. State its frequency and period.

Frequency = 256 Hz. Period T = 1 ÷ 256 ≈ 0.0039 s.

3. A sound of frequency 500 Hz has a wavelength of 0.68 m in air. Find the speed.

v = fλ = 500 × 0.68 = 340 m/s.

4. You hear thunder 9 s after a flash. How far away is the lightning?

d = 343 × 9 ≈ 3087 m ≈ 3.1 km.

5. An echo-sounder pulse returns from the sea bed after 0.20 s. If the speed of sound in water is 1500 m/s, what is the depth?

Total distance = 1500 × 0.20 = 300 m. Depth = 300 ÷ 2 = 150 m.

6. What changes when a sound gets louder but stays the same note?

The amplitude increases. The frequency (pitch) stays the same.

7. Why does an ambulance siren seem to fall in pitch as it passes?

The Doppler effect: as the ambulance approaches, you receive waves more often (higher frequency); after it passes, you receive them less often (lower frequency).

8. Name the parts of the ear a sound wave passes through, in order.

Pinna → ear canal → eardrum → three small bones (malleus, incus, stapes) → cochlea → auditory nerve → brain.

Summary

For teachers and parents

Simple activities that need little equipment: feel the vibration of a ruler clamped to a desk and change its free length to change the pitch; use a slinky to show compressions and rarefactions; measure the speed of sound with two students, a wall and a stopwatch (timing echoes of claps), or with a free phone-based oscilloscope app; compare how well different materials block sound with a small buzzer in a box. For safety, never play very loud sounds close to someone's ears. Numerical values are rounded; please check that they match the data booklet used by your examination board.

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Sources and Further Reading

This article is original EDUSAMBAM writing. Definitions, typical values and safety guidance were checked against the sources below. Diagrams are original and were not copied from any source.

Note on the numbers: speeds and decibel levels are typical, rounded values. Please check them against your own syllabus or exam board specification before relying on them.

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1.What type of wave is sound?
2.Why can sound not travel through a vacuum?
3.Which feature of a sound wave mainly determines pitch?
4.Which feature mainly determines loudness?
5.A wave has frequency 200 Hz and wavelength 1.7 m. What is its speed?
6.What is the usual order of speed of sound from slowest to fastest?
7.An echo returns after 2.0 s. Taking the speed of sound as 340 m/s, how far is the reflecting surface?
8.Sonar sends a pulse and receives the echo after 0.40 s in water (1500 m/s). What is the depth?
9.When a sound moves from air into water, which quantity stays the same?
10.What do noise-cancelling headphones mainly use?
11.Which part of the ear contains the hair cells that convert vibrations to nerve signals?
12.The siren of an ambulance sounds higher as it approaches. What is this effect called?