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  • Calculating Radiation Frequency from Wavelength: A Step-by-Step Guide
    Here's how to calculate the frequency of radiation given its wavelength:

    Understanding the Relationship

    The relationship between frequency (ν) and wavelength (λ) of electromagnetic radiation is described by the following equation:

    * c = νλ

    Where:

    * c is the speed of light (approximately 3 x 10⁸ m/s)

    * ν is the frequency (in Hertz, Hz)

    * λ is the wavelength (in meters)

    Calculation

    1. Rearrange the equation to solve for frequency:

    ν = c / λ

    2. Plug in the values:

    ν = (3 x 10⁸ m/s) / (3.33 x 10⁻⁸ m)

    3. Calculate the frequency:

    ν ≈ 9.01 x 10¹⁵ Hz

    Answer:

    The frequency of radiation with a wavelength of 3.33 x 10⁻⁸ meters is approximately 9.01 x 10¹⁵ Hz. This radiation falls within the ultraviolet region of the electromagnetic spectrum.

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