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Sound

Production and propagation of sound as a longitudinal wave, wave terms (frequency, wavelength, amplitude, time period, speed), speed of sound in different media and effect of temperature, characteristics of sound (pitch, loudness, quality), echo and reverberation, ultrasound, infrasound and their uses, the Doppler effect, the human ear, sonar, sonic boom and noise pollution — with worked numericals and frequently asked facts.

📑 Contents (12 sections)

Last reviewed 30 Sept 2026 · 7 min read

What is sound?

Sound is a form of energy produced by vibrating bodies (a vibrating string, a tuning fork, vocal cords). It needs a material medium (solid, liquid or gas) to travel — sound cannot travel through a vacuum. This is why an astronaut on the Moon cannot hear another person directly, and why a bell in an evacuated jar cannot be heard.

  • Sound travels as a longitudinal wave: particles of the medium vibrate parallel to the direction of the wave, producing alternate compressions (regions of high pressure) and rarefactions (low pressure).
  • Sound in air is a mechanical, longitudinal wave (unlike light, which is electromagnetic and transverse). In solids sound can also travel as a transverse wave.

Wave terms

Term Meaning Unit
Amplitude () maximum displacement of a particle from its mean position m
Wavelength () distance between two successive compressions (or rarefactions) m
Frequency () number of vibrations (cycles) per second hertz (Hz)
Time period () time for one complete vibration; s
Wave speed () distance travelled by the wave in one second m/s

Frequency depends only on the source and remains the same when the wave passes from one medium to another; the speed and wavelength change.

Speed of sound

  • The speed depends on the medium and its temperature; it does not depend on the loudness or frequency.
  • Solids > liquids > gases: about 5000 m/s in steel/iron, about 1500 m/s in sea water, about 1480 m/s in fresh water, and about 343 m/s in air at 20 °C (331 m/s at 0 °C).
  • In air, the speed increases by about 0.6 m/s for each °C rise. It is larger in humid air than in dry air (water vapour is lighter). It is affected by pressure only through density, and in a gas at constant temperature does not change with pressure.
  • Sound is slower than light; in a thunderstorm we see lightning first and hear the thunder later. Distance to lightning ≈ speed of sound × time delay.
Worked ExampleExample — thunder

The thunder is heard 6 s after the lightning is seen. If the speed of sound is 340 m/s, the lightning is away.

Characteristics of sound

Characteristic Depends on Notes
Pitch frequency high frequency = shrill (high pitch, e.g. a woman's or child's voice, a whistle); low frequency = grave (a man's voice, a drum)
Loudness amplitude (and the sensitivity of the ear) measured in decibels (dB); the sound intensity level is logarithmic
Quality (timbre) waveform / harmonics lets us tell two instruments or two people apart even if pitch and loudness are the same
  • Intensity is the energy flowing per second through unit area (W/m²). Loudness is a subjective measure of intensity.
  • Audible range for human beings: 20 Hz to 20,000 Hz (20 kHz).
  • Infrasonic sound: below 20 Hz (earthquakes, whales, elephants); ultrasonic sound: above 20 kHz.
  • Typical levels: whisper about 30 dB; normal conversation about 60 dB; heavy traffic about 80 dB; a loud horn about 110 dB; the threshold of pain is about 120–130 dB. Prolonged exposure above about 85 dB can damage hearing.

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