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  • Frequency to Wavelength Conversion: Understanding Hertz and Nanometers
    You can't directly convert Hertz (Hz), which is a unit of frequency, to nanometers (nm), which is a unit of length.

    Here's why:

    * Hertz (Hz): Measures how many cycles of a wave occur per second.

    * Nanometers (nm): Measures length.

    To make a conversion, you need to consider the relationship between frequency, wavelength, and the speed of light:

    * c = λν

    * c: Speed of light (approximately 299,792,458 meters per second)

    * λ: Wavelength (in meters)

    * ν: Frequency (in Hertz)

    Here's how you can calculate the wavelength in nanometers:

    1. Calculate the wavelength in meters:

    * λ = c / ν = 299,792,458 m/s / 6.9810214 Hz ≈ 42928238.4 m

    2. Convert meters to nanometers:

    * 1 meter = 1,000,000,000 nanometers

    * λ ≈ 42928238.4 m * (1,000,000,000 nm / 1 m) ≈ 4.29 x 10¹³ nm

    Therefore, the wavelength corresponding to a frequency of 6.9810214 Hz is approximately 4.29 x 10¹³ nanometers.

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