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5.1.9Waves in Matter

Sound Waves and Hearing

5 min read 5 parts Lesson 9 of 18 Unit quiz

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Section 1 of 5Sound as a Pressure Wave

5.1.9 Sound Waves and Hearing

Sound is a longitudinal wave that needs a medium, so it cannot travel through a vacuum.

Compressions
  • Regions where the particles of the medium are squashed closer together, giving higher pressure and higher density.
Rarefactions
  • Regions where the particles are spread further apart, giving lower pressure and lower density.
Travel
  • The energy passes along by particles vibrating back and forth, while the particles themselves do not travel with the wave.
Speed
  • Sound normally travels fastest in solids, slower in liquids and slowest in gases, because particles are closer in solids.

Section 2 of 5How the Ear Works

The ear converts sound waves in air into vibrations of solid parts, then into electrical signals.

1
The outer ear collects sound waves and directs them along the ear canal towards the eardrum.
2
Pressure variations in the sound wave make the eardrum vibrate with the same frequency as the wave.
3
Three tiny bones, the ossicles, pass on the vibration and increase its force as they carry it to the inner ear.
4
In the cochlea the vibrations move tiny hair cells, which produce electrical impulses in the auditory nerve.
5
The brain interprets the nerve impulses as sound, with the pitch and loudness of the original wave.

Section 3 of 5Range of Hearing

Range of Hearing
Human range
  • A healthy young person can hear frequencies from about 20 Hz to about 20 000 Hz.
Ultrasound
  • Sound with frequency above 20 000 Hz is too high for humans to hear.
Ageing
  • The range usually shrinks with age, and high frequencies are the first to be lost.
Limit
  • Hearing is limited because the structures of the ear respond only over a restricted range of frequencies.
FrequencyWavelength in air at 330 m/s
20 Hz16.5 m
20 000 Hz0.0165 m (1.65 cm)

Section 4 of 5Worked Example

Question

  • Sound travels at 330 m/s in air.
  • Calculate the wavelength of the lowest frequency a human can hear, 20 Hz.

  1. Write the wave equationv = f × λ.
    What the symbols mean: v = wave speed (m s−1) · f = frequency (Hz) · λ = wavelength (m)
  2. Rearrange for wavelengthλ = v ÷ f.
  3. Substituteλ = 330 ÷ 20.
  4. Calculateλ = 16.5 m.

Answer 16.5 m

Section 5 of 5Exam Checklist & Tips

5.1.9 – Key Points for the Exam

  • Longitudinal wave A wave in which the vibrations are parallel to the direction of energy transfer.
  • Compression A region of a sound wave where the particles are closer together.
  • Rarefaction A region of a sound wave where the particles are further apart.
  • Frequency The number of waves passing a point each second, measured in hertz.
  • Ossicles The three small bones in the middle ear.

Common Mistakes

  • Saying sound can travel through a vacuum; it needs particles to vibrate.
  • Believing that air particles travel from the source to the ear; they only vibrate about fixed positions.
  • Quoting the hearing range as 20 000 Hz to 20 Hz or forgetting the units.
  • Describing the ear as sending sound itself to the brain, when it sends electrical impulses.
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