Understanding the Relationship
* Speed of light (c): Light travels at a constant speed in a vacuum, approximately 299,792,458 meters per second (m/s).
* Wavelength (λ): This is the distance between two successive crests or troughs of a wave. It's usually measured in meters (m), nanometers (nm), or other units of length.
* Frequency (ν): This represents the number of waves that pass a fixed point in one second. It's measured in Hertz (Hz), which is equivalent to cycles per second.
The Equation
The relationship between speed of light, wavelength, and frequency is:
c = λν
Where:
* c = speed of light
* λ = wavelength
* ν = frequency
Solving for Frequency
1. Convert the wavelength to meters:
746 nm = 746 x 10⁻⁹ m
2. Rearrange the equation to solve for frequency:
ν = c / λ
3. Plug in the values:
ν = (299,792,458 m/s) / (746 x 10⁻⁹ m)
4. Calculate:
ν ≈ 4.01 x 10¹⁴ Hz
Therefore, the frequency of light with a wavelength of 746 nm is approximately 4.01 x 10¹⁴ Hz.
