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  • Wavelength and Velocity of Waves: Understanding the Relationship
    The relationship between velocity and wavelength depends on the type of wave. Here's a breakdown:

    For electromagnetic waves (like light):

    * Velocity is constant: The speed of light in a vacuum is a constant, approximately 299,792,458 meters per second. This means that regardless of the wavelength of light, its velocity remains the same.

    * Frequency changes: As wavelength increases, the frequency of the light decreases. This is because the product of wavelength and frequency always equals the speed of light:

    * c = λf

    * Where:

    * c = speed of light

    * λ = wavelength

    * f = frequency

    For mechanical waves (like sound):

    * Velocity depends on the medium: The velocity of a mechanical wave depends on the properties of the medium it travels through. For example, sound travels faster in solids than in liquids, and faster in liquids than in gases.

    * Wavelength and frequency can change: As wavelength increases, the frequency of the sound wave decreases, and vice versa. This is because the speed of the wave is determined by the medium:

    * v = λf

    * Where:

    * v = velocity of the wave

    * λ = wavelength

    * f = frequency

    In summary:

    * For electromagnetic waves, velocity is constant, and wavelength and frequency are inversely proportional.

    * For mechanical waves, velocity depends on the medium, and wavelength and frequency are inversely proportional.

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