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  • Transverse vs. Longitudinal Waves: Shared Properties & Wave Equation
    Transverse and longitudinal waves are both mechanical waves, meaning that they require a medium to propagate. They also share the following characteristics:

    - Both transverse and longitudinal waves can be described by a mathematical function called a wave equation. The wave equation describes how the wave's amplitude, wavelength, and frequency are related to each other.

    - Both transverse and longitudinal waves can be reflected, refracted, and diffracted. Reflection occurs when a wave bounces off a surface, refraction occurs when a wave changes direction as it passes from one medium to another, and diffraction occurs when a wave spreads out as it passes through a narrow opening.

    - Both transverse and longitudinal waves can carry energy. The amount of energy carried by a wave is proportional to the square of its amplitude.

    Despite these similarities, transverse and longitudinal waves are also quite different. Transverse waves have a perpendicular relationship between the direction of wave propagation and the direction of particle displacement, while longitudinal waves have a parallel relationship. This difference in particle motion gives rise to different properties of the waves, such as polarization and dispersion.

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