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  • Wave Velocity, Frequency, and Wavelength: The Key Equation (v=fλ)
    The equation that links velocity, frequency, and wavelength is:

    v = fλ

    where:

    * v is the velocity (or speed) of the wave

    * f is the frequency of the wave

    * λ is the wavelength of the wave

    Explanation:

    * Velocity (v): This refers to how fast the wave is traveling through a medium. It is measured in units like meters per second (m/s).

    * Frequency (f): This describes how many wave cycles pass a given point per second. It is measured in Hertz (Hz), which is equivalent to cycles per second.

    * Wavelength (λ): This is the distance between two consecutive crests or troughs of a wave. It is measured in units like meters (m).

    This equation tells us that the velocity of a wave is directly proportional to both its frequency and wavelength. This means that:

    * If the frequency increases, the velocity also increases, assuming the wavelength remains constant.

    * If the wavelength increases, the velocity also increases, assuming the frequency remains constant.

    This equation applies to all types of waves, including:

    * Electromagnetic waves: These include light, radio waves, microwaves, and X-rays.

    * Sound waves: These are mechanical waves that travel through a medium like air or water.

    * Water waves: These are surface waves that travel on the surface of water.

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