Understanding the Relationship
* Wavelength (λ): The distance between two successive crests or troughs of a wave. Measured in meters (m), nanometers (nm), or other units of length.
* Frequency (ν): The number of waves passing a fixed point in one second. Measured in Hertz (Hz).
* Speed of Light (c): The constant speed at which light travels in a vacuum, approximately 3 x 10⁸ m/s.
The Equation
The relationship between wavelength, frequency, and the speed of light is:
* c = λν
Solving for Frequency
1. Convert wavelength to meters:
* 670 nm = 670 x 10⁻⁹ m
2. Rearrange the equation to solve for frequency:
* ν = c / λ
3. Plug in the values and calculate:
* ν = (3 x 10⁸ m/s) / (670 x 10⁻⁹ m)
* ν ≈ 4.48 x 10¹⁴ Hz
Therefore, the frequency of radiation with a wavelength of 670 nm is approximately 4.48 x 10¹⁴ Hz.
