Understanding the Relationship
* Speed of light (c): A constant value, approximately 299,792,458 meters per second (m/s).
* Wavelength (λ): The distance between two consecutive crests or troughs of a wave (measured in meters, nm, etc.).
* Frequency (f): The number of waves passing a point per second (measured in Hertz, Hz).
The relationship between these is:
c = λf
Solving for Frequency
1. Convert wavelength to meters:
* 447 nm = 447 x 10⁻⁹ m
2. Rearrange the equation to solve for frequency (f):
* f = c / λ
3. Plug in the values:
* f = (299,792,458 m/s) / (447 x 10⁻⁹ m)
4. Calculate:
* f ≈ 6.71 x 10¹⁴ Hz
Therefore, the frequency of light with a wavelength of 447 nm is approximately 6.71 x 10¹⁴ Hz.
