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  • Calculate 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 defined 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)

    Calculations

    1. Convert wavelength to meters:

    * 2.40 x 10⁻⁵ cm = 2.40 x 10⁻⁷ m

    2. Rearrange the equation to solve for frequency:

    * ν = c / λ

    3. Substitute the values:

    * ν = (3 x 10⁸ m/s) / (2.40 x 10⁻⁷ m)

    4. Calculate the frequency:

    * ν ≈ 1.25 x 10¹⁵ Hz

    Answer:

    The frequency of radiation with a wavelength of 2.40 x 10⁻⁵ cm is approximately 1.25 x 10¹⁵ Hz.

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