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  • Wavelength and Frequency: Understanding the Inverse Relationship
    If frequency is tripled, the wavelength is divided by three.

    Here's why:

    * The Relationship: Frequency and wavelength are inversely proportional. This means that as one increases, the other decreases proportionally.

    * The Equation: This relationship is described by the following equation:

    * c = fλ

    * where:

    * c = the speed of light (a constant)

    * f = frequency

    * λ = wavelength

    * The Logic: If you increase the frequency (f) and keep the speed of light (c) constant, the wavelength (λ) must decrease to maintain the equality.

    Example:

    * If the original frequency is 1 Hz and the wavelength is 1 meter, then the speed of light is 1 meter per second.

    * If the frequency is tripled to 3 Hz, the wavelength must decrease to 1/3 meter (or 0.33 meters) to keep the speed of light constant at 1 meter per second.

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