Understanding the Relationship
The relationship between the speed of light (c), frequency (f), and wavelength (λ) is given by the following equation:
c = fλ
Where:
* c = speed of light in a vacuum (approximately 3 x 10⁸ meters per second)
* f = frequency (in Hertz)
* λ = wavelength (in meters)
Calculation
1. Rearrange the equation to solve for wavelength:
λ = c / f
2. Plug in the values:
λ = (3 x 10⁸ m/s) / (100000000 Hz)
3. Calculate the wavelength:
λ = 3 meters
Therefore, the wavelength of a light wave having a frequency of 100,000,000 Hz is 3 meters.
Important Note: This wavelength falls within the radio wave portion of the electromagnetic spectrum, not the visible light spectrum. Visible light has wavelengths much shorter, typically in the range of 400 to 700 nanometers.
