Understanding the Relationship
* Wavelength (λ): The distance between two consecutive crests or troughs of a wave.
* Frequency (f): The number of wave cycles passing a fixed point per second.
* Speed of Light (c): The speed at which light travels in a vacuum, approximately 299,792,458 meters per second.
The Formula
The relationship between wavelength, frequency, and the speed of light is:
c = fλ
To solve for frequency (f), we rearrange the formula:
f = c / λ
Calculations
1. Convert the wavelength to meters: 310 mm = 0.31 meters
2. Plug in the values: f = 299,792,458 m/s / 0.31 m
3. Calculate: f ≈ 967,072,445 Hz
Therefore, the frequency of a wavelength of 310 mm is approximately 967,072,445 Hz.
Important Note: This calculation assumes the wave is traveling in a vacuum. The speed of light can change slightly in different mediums.