A student investigates how sound travels through different materials. The student finds that sound travels faster through steel than through air. When a sound wave passes from air into steel, explain what happens to the speed, wavelength and frequency of the sound wave.

Edexcel A-Level Physics (9PH0) — 4.1 Stress, strain and the Young modulus · Explain · 5 marks · View as Markdown

Written & reviewed by James Millett — Biology (Imperial College London), PGCE Science (University of Cambridge).

Sound is a longitudinal wave. The speed of sound in air is approximately 340 m/s. The speed of sound in steel is approximately 5800 m/s.

Model answer (5 marks)

When the wave enters steel the speed increases from 340 m s⁻¹ to about 5800 m s⁻¹. Because the frequency of a wave is fixed by the source, the increased speed must be accommodated by a longer wavelength:

v = fλ → λ = v/f

Thus λ increases. The wave remains longitudinal, so particle oscillations are still parallel to the direction of propagation.

Examiner tips

  • State the speed change first, then the wavelength change, finally that frequency is unchanged.
  • Use the equation v = fλ to justify the wavelength change.
  • Mention that the wave is longitudinal to show understanding of wave type.

Common mistakes

  • Claiming the frequency changes; it is set by the source.
  • Saying the wavelength decreases; it actually increases with speed.
  • Forgetting to mention that the wave remains longitudinal.

Mark scheme (5 marks)

  1. The speed of the sound wave increases (when passing from air into steel)
  2. The wavelength of the sound wave increases
  3. The frequency of the sound wave stays the same / does not change
  4. Correct reasoning linking speed and wavelength: because frequency is constant and speed increases, wavelength must also increase (use of v = fλ implied or stated)
  5. Sound is a longitudinal wave so the oscillations / vibrations of particles are parallel to / in the same direction as the direction of travel / energy transfer

Key terms in this question

frequency · wavelength

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