Understanding the Relationship
* Speed of light (c): The speed of light in a vacuum is a constant, approximately 299,792,458 meters per second (m/s).
* Wavelength (λ): The distance between two successive crests or troughs of a wave.
* Frequency (f): The number of waves passing a point in one second.
These are related by the following equation:
c = λf
Solving for Frequency
1. Convert wavelength to meters:
400 nanometers (nm) = 400 x 10⁻⁹ meters (m)
2. Rearrange the equation to solve for frequency (f):
f = c / λ
3. Plug in the values:
f = (299,792,458 m/s) / (400 x 10⁻⁹ m)
4. Calculate:
f ≈ 7.49 x 10¹⁴ Hz
Therefore, the frequency of the light wave is approximately 7.49 x 10¹⁴ Hertz (Hz).
