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  • Understanding the Relationship Between Frequency and Wavelength
    Yes, a high-frequency wave has a short wavelength.

    Here's why:

    * Frequency refers to how many wave cycles pass a point in a given time.

    * Wavelength refers to the distance between two corresponding points on consecutive waves (e.g., crest to crest).

    The relationship between frequency (f) and wavelength (λ) is inversely proportional:

    f = c / λ

    Where:

    * c is the speed of the wave (constant for a given medium).

    This equation shows that:

    * Higher frequency (f) means shorter wavelength (λ)

    * Lower frequency (f) means longer wavelength (λ)

    Example:

    * Radio waves have very long wavelengths and low frequencies.

    * Visible light has shorter wavelengths and higher frequencies.

    * X-rays have extremely short wavelengths and very high frequencies.

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