Waves are disturbances that transfer energy from one point to another without the transport of matter. They are characterized by the following key properties:
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Types of Waves:
- Transverse Waves: Oscillations are perpendicular to the direction of wave propagation (e.g., light, water waves).
- Longitudinal Waves: Oscillations are parallel to the direction of wave propagation (e.g., sound waves).
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Key Terms and Definitions:
- Wavelength (λ): The distance between two consecutive crests or troughs in a transverse wave, or compressions or rarefactions in a longitudinal wave.
- Frequency (f): The number of wave cycles passing a point per second, measured in Hertz (Hz).
- Amplitude: The maximum displacement of a wave from its equilibrium position.
- Speed (v): The rate at which a wave travels through a medium, given by
v=fλv = f \lambda
v=fλ.
- Period (T): The time taken for one complete wave cycle, related to frequency as
T=1fT = \frac{1}{f}
T=f1.
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Wave Behaviors:
- Reflection: When a wave bounces off a surface and changes direction.
- Refraction: The change in direction of a wave as it passes from one medium to another, caused by a change in speed.
- Diffraction: The bending of waves around obstacles or through openings.
- Interference: The superposition of two or more waves, resulting in constructive or destructive interference.
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Wave Equation:
- The fundamental relationship between speed, frequency, and wavelength is given by:
v=fλv = f \lambda
v=fλ
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Energy Transmission:
- Waves transfer energy without transferring matter. The energy carried depends on the wave’s amplitude and frequency.
Understanding these properties is essential for analyzing wave behavior in various physical contexts, from sound and light to water waves and electromagnetic waves.