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Transverse waves are mechanical waves with particle displacement perpendicular to wave propagation. Key properties include amplitude, wavelength, frequency, and period. They differ from longitudinal waves and are vital in phenomena like light, seismic activity, and communication technologies. Mathematical models predict their behavior, crucial in physics and engineering.
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Transverse waves are mechanical waves where the displacement of the medium is perpendicular to the direction of wave propagation
Amplitude
The amplitude of a transverse wave is the height of the crest or the depth of the trough from the equilibrium position
Wavelength
The wavelength is the spatial period of the wave, the distance over which the wave's shape repeats, and is measured from crest to crest or trough to trough
Frequency and Period
Frequency is the number of cycles that pass a point per unit time, and period is the time it takes for one complete cycle to pass a point
Transverse waves transfer energy through perpendicular motion of particles, while longitudinal waves transfer energy through parallel motion of particles
Transverse waves typically require a solid medium or the surface of a liquid to propagate, while longitudinal waves can propagate through solids, liquids, and gases
Examples of transverse waves include electromagnetic waves, surface water waves, and seismic S-waves
Transverse waves play a significant role in communication, medical imaging, earthquake studies, and other scientific and technological applications
The wave equation, derived from Hooke's law and Newton's second law, describes the propagation of transverse waves in a uniform medium
The frequency and period of a transverse wave are inversely related, while the wave speed is the product of frequency and wavelength