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4.3.1 Sound waves, vibrations and the human ear

From sound to hearing

Definition

Sound wave

A longitudinal mechanical wave produced by a vibrating source and carried through a medium as a series of compressions and rarefactions.

  1. A vibrating source pushes and pulls nearby particles in a medium.
  2. The particles oscillate parallel to the direction of energy transfer, producing alternating compressions and rarefactions.
  3. The particles transfer the disturbance to neighbouring particles, so energy travels through the medium without the medium moving overall.
  4. Sound cannot travel through a vacuum because there are no particles to pass on the vibration.

Sound and solid vibrations

Definition

Frequency

The number of complete waves or oscillations passing a point each second.

  1. When sound reaches a solid surface, changing pressure exerts an alternating force on it and can make it vibrate.
  2. A vibrating solid can also push and pull the surrounding medium, converting its vibration into a sound wave.
  3. The frequency of the sound wave matches the frequency of the source vibration.
  4. A larger vibration amplitude usually produces a sound wave with a larger amplitude and a greater intensity.

The human ear

  1. The pinna collects sound and channels it through the ear canal.
  2. Pressure variations make the eardrum vibrate at the sound frequency.
  3. The three ossicles transfer the vibration through the middle ear and increase the pressure applied to the oval window.
  4. Movement at the oval window produces pressure waves in the fluid of the cochlea.
  5. Different regions of the cochlea respond most strongly to different frequencies.
  6. Sensory hair cells bend and convert the mechanical disturbance into electrical impulses.
  7. The auditory nerve carries these impulses to the brain, where they are interpreted as sound.

A limited frequency range

  1. A structure responds effectively only over a limited frequency range because its mass, stiffness and damping affect how easily it can vibrate.
  2. At some frequencies the response amplitude is large, while very low or very high frequencies produce a weaker response.
  3. The combined response of the eardrum, ossicles, cochlea and hair cells limits normal human hearing to roughly 20 Hz20\ \text{Hz}20 Hz to 20 000 Hz20\,000\ \text{Hz}20000 Hz.
  4. The upper limit usually falls with age and after exposure to intense sound.
Example

Linking pitch to vibration

  • A loudspeaker cone completes 750750750 vibrations in 0.50 s0.50\ \text{s}0.50 s.
  • Its frequency is f=7500.50=1500 Hzf=\dfrac{750}{0.50}=1500\ \text{Hz}f=0.50750​=1500 Hz.
  • The sound wave and the eardrum vibrate at 1500 Hz1500\ \text{Hz}1500 Hz, so the frequency is within the normal human hearing range.
Exam technique
  • For an ear question, follow the energy transfer in order: sound wave, eardrum, ossicles, oval window, cochlear fluid, hair cells, auditory nerve.
  • Use the word converts only when the form of the disturbance changes, such as a mechanical vibration becoming an electrical impulse.
Common Mistake
  • Do not say that air particles travel from the source to the ear; they oscillate about fixed positions.
  • Do not confuse frequency with amplitude: frequency affects pitch, whereas amplitude is linked to loudness.
Self review
  • How does a vibrating source produce a sound wave?
  • Why can sound not travel through a vacuum?
  • What sequence transfers a vibration from the eardrum to the cochlea?
  • How do hair cells contribute to hearing?
  • Why does the ear work over only a limited frequency range?
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4.3.1 Sound waves, vibrations and the human ear Revision Guide

  1. GCSE
  2. /Physics
  3. /4.3.1 Sound waves, vibrations and the human ear

Revision notes for Edexcel GCSE Physics 4.3.1 Sound waves, vibrations and the human ear: explanations and worked examples.

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