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.