Chapter 8: Problem 32
Explain the difference between longitudinal waves and transverse waves.
Short Answer
Expert verified
Longitudinal waves have particle motion parallel to wave direction (e.g., sound waves), while transverse waves have perpendicular particle motion (e.g., light waves).
Step by step solution
01
- Define Longitudinal Waves
Longitudinal waves are types of waves where the particle displacement is parallel to the direction of wave propagation. This means that the particles of the medium move back and forth in the direction that the wave is traveling. Examples include sound waves and seismic P-waves.
02
- Define Transverse Waves
Transverse waves are types of waves where the particle displacement is perpendicular to the direction of wave propagation. This results in particles moving up and down as the wave moves horizontally. Examples include light waves, water waves, and seismic S-waves.
03
- Compare Particle Movement
In longitudinal waves, particles move parallel to the wave's direction, generating compressions and rarefactions. In transverse waves, particles move perpendicular to the wave's direction, creating crests and troughs.
04
- List Examples
Examples of longitudinal waves include sound waves and seismic P-waves. Examples of transverse waves include light waves, water waves, and seismic S-waves.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Longitudinal Waves
Longitudinal waves are a type of wave where the particles of the medium move parallel to the direction of the wave's travel. Imagine standing in a line and pushing the person in front of you; each person moves forward and then returns to their original position. This back-and-forth motion illustrates how particles in a longitudinal wave behave. Common examples include sound waves and seismic P-waves. In these waves, areas of compression and rarefaction are formed as particles crowd together and then spread apart.
- **Compressions**: Regions where particles are close together.
- **Rarefactions**: Regions where particles are spread apart.
Transverse Waves
Transverse waves are characterized by particle motion that is perpendicular to the direction of wave propagation. Imagine shaking one end of a rope up and down; the wave travels horizontally, while the rope itself moves vertically. This up-and-down motion is typical of transverse waves. Examples include light waves, water waves, and seismic S-waves.
In transverse waves, the highest points are called **crests** and the lowest points are called **troughs**.
In transverse waves, the highest points are called **crests** and the lowest points are called **troughs**.
- **Crests**: The highest points of the wave.
- **Troughs**: The lowest points of the wave.
Wave Propagation
Wave propagation refers to the movement of waves through a medium. Different types of waves have different propagation characteristics. For longitudinal waves, the wave moves parallel to particle displacement. In contrast, for transverse waves, the wave moves perpendicular to particle displacement.
This concept is important because it helps to explain how and why waves travel differently in various mediums.
This concept is important because it helps to explain how and why waves travel differently in various mediums.
- **Medium**: The substance through which the wave travels.
- **Direction of Propagation**: The direction in which the wave energy travels.
- **Speed of Propagation**: The speed at which a wave travels is influenced by the medium.
Particle Displacement
Particle displacement is the movement of particles in the medium as a wave passes through. This displacement varies depending on whether the wave is longitudinal or transverse.
In longitudinal waves, particles move back and forth in the same direction as the wave is moving, creating compressions and rarefactions.
In transverse waves, particles move up and down, perpendicular to the direction of wave travel, creating crests and troughs.
In longitudinal waves, particles move back and forth in the same direction as the wave is moving, creating compressions and rarefactions.
In transverse waves, particles move up and down, perpendicular to the direction of wave travel, creating crests and troughs.
- **Parallel Displacement**: Movement in the same direction as the wave (longitudinal).
- **Perpendicular Displacement**: Movement at right angles to the wave direction (transverse).