The speed of a wave does not depend on its wavelength.
Based on the provided reference, the wavelength of a wave does not affect the speed at which the wave travels. The reference explicitly states, "Both Wave C and Wave D travel at the same speed," implying that differences in characteristics like wavelength (or possibly frequency/amplitude, though wavelength is specified) do not dictate speed. Instead, the speed is determined by external factors.
Factors Affecting Wave Speed
While wavelength doesn't influence speed, the speed of a wave is fundamentally determined by other factors. The reference clarifies that the speed of a wave is only altered by alterations in the properties of the medium through which it travels.
This means the material or substance the wave is moving through is the critical factor.
- Examples of Medium Properties:
- Density
- Elasticity or Stiffness
- Temperature (for some waves, like sound in air)
- Depth (for water waves)
Let's illustrate this concept:
- Sound waves travel faster in solids than in liquids, and faster in liquids than in gases, because of differences in the density and elasticity of these mediums.
- Light waves slow down when they pass from a vacuum into a medium like glass or water.
Wavelength vs. Speed
It's a common point of confusion, but the relationship between wave speed (v), frequency (f), and wavelength (λ) is given by the equation:
v = f * λ
While this equation shows that speed, frequency, and wavelength are related, it does not mean that changing the wavelength itself changes the speed. If the medium remains constant, and thus the speed (v) is fixed, then a change in wavelength (λ) must correspond to a compensatory change in frequency (f) to keep the equation balanced. The wave's speed is a property of the medium, not a result of its wavelength or frequency.
Summary Table:
| Wave Property | Affects Speed? | Notes |
|---|---|---|
| Wavelength | No | Speed is independent of wavelength. |
| Frequency | No | Speed is independent of frequency. |
| Amplitude | No | Speed is independent of amplitude. |
| Medium Properties | Yes | Crucial factor determining wave speed. |
In conclusion, focus on the medium. The characteristics of the wave itself, such as its wavelength, frequency, or amplitude, do not change the speed at which it propagates through a given medium.
