stationary wave

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stationary wave

A student observes a stationary wave pattern on a vibrating string.

Definition

Noun: A stationary wave is a wave pattern that remains in a constant position. This occurs when two waves of identical frequency and amplitude travel in opposite directions and interfere with each other. The key characteristic is that the ratio of the wave's instantaneous amplitude at one point to its amplitude at any other point does not change over time. Points of maximum vibration (antinodes) and points of no vibration (nodes) appear fixed in space.

Usage and Examples
  • The guitar string vibrates, creating a stationary wave with fixed nodes at the ends.
  • In the acoustics lab, we observed a stationary wave formed inside the closed tube.
  • The physicist explained how a stationary wave can be established on a stretched rope by shaking one end at the correct frequency.
Advanced Usage
  • Standing wave pattern: This is a common alternative term for the physical pattern created by a stationary wave.
    • The microwave oven creates a standing wave pattern to heat food evenly.
  • To form/establish a stationary wave: Describes the process of creating this wave condition.
    • Resonance is required to establish a strong stationary wave on the bridge.
Variants and Related Words
  • Standing wave (n): A fully synonymous term for a stationary wave.
  • Node (n): A point of minimum or zero amplitude in a stationary wave.
  • Antinode (n): A point of maximum amplitude in a stationary wave.
Synonyms
  • Standing wave
  • Fixed wave (less common)
Related Scientific Contexts
  • Resonance: A phenomenon where a stationary wave is formed at specific frequencies, causing large amplitude oscillations.
    • The Tacoma Narrows Bridge collapse is a famous example of resonance, where wind forces created a destructive stationary wave.
  • Harmonics: The specific frequencies at which stationary waves form, such as on a musical instrument string.
stationary wave

A student observes a stationary wave pattern on a vibrating string.

Noun
  1. a wave (as a sound wave in a chamber or an electromagnetic wave in a transmission line) in which the ratio of its instantaneous amplitude at one point to that at any other point does not vary with time

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