Describe the longitudinal nature of sound waves

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IGCSE Physics - 3.4 Sound - Longitudinal Waves

IGCSE Physics 0625

Topic: 3.4 Sound

Objective: Describe the longitudinal nature of sound waves

Sound is a mechanical wave, meaning it requires a medium (like air, water, or solids) to travel. Unlike transverse waves (like light), sound waves travel through vibrations of the particles in the medium. This vibration is longitudinal.

What does 'Longitudinal' mean?

In a longitudinal wave, the particles of the medium vibrate parallel to the direction in which the wave is traveling.

How Sound Waves are Created

Sound waves are typically created by a vibrating object. For example, when a speaker vibrates, it causes the air molecules near it to vibrate. These vibrations are then passed on to adjacent air molecules, and so on, creating a chain of compressions and rarefactions.

Compressions and Rarefactions

Characteristic Description
Compression A region where the particles of the medium are close together.
Rarefaction A region where the particles of the medium are spread out.

A sound wave consists of alternating compressions and rarefactions. The distance between two consecutive compressions (or two consecutive rarefactions) is called the wavelength (represented by λ). The number of complete wavelengths that pass a point in a given time is the frequency (represented by f).

Mathematical Relationship

The speed of a longitudinal wave (including sound) is related to its wavelength and frequency by the following equation:

$$v = f \times \lambda$$

Where:

  • v is the speed of the wave (in meters per second, m/s)
  • f is the frequency of the wave (in Hertz, Hz)
  • λ is the wavelength of the wave (in meters, m)

Diagram

Suggested diagram: A simple illustration showing a longitudinal wave with compressions and rarefactions, with arrows indicating the direction of particle vibration parallel to the wave's direction. Label compressions and rarefactions clearly.

Why is Sound Longitudinal?

Imagine a slinky. If you push and pull one end of the slinky along its length, you create a wave where the coils themselves move back and forth parallel to the direction the wave is traveling. This is analogous to how sound waves travel.

The longitudinal nature of sound waves is crucial for how we hear. Our eardrums vibrate in response to the compressions and rarefactions of sound waves, and these vibrations are then interpreted by our brain as sound.