Understanding the Relationship
* Speed of light (c): The speed of light in a vacuum is 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 = fλ
Solving for Frequency
1. Convert wavelength to meters: 1 mm = 0.001 meters
2. Rearrange the equation to solve for frequency (f): f = c / λ
3. Substitute the values: f = (299,792,458 m/s) / (0.001 m)
4. Calculate: f = 299,792,458,000 Hz (Hertz)
Result: The frequency of light traveling in a vacuum with a wavelength of 1 mm is approximately 299,792,458,000 Hz or 299.79 GHz (gigahertz).
Important Note: Light with a wavelength of 1 mm falls within the microwave portion of the electromagnetic spectrum.
