To determine the frequency of light with a given wavelength, you can use the formula:
c = λf
where: c is the speed of light in a vacuum, approximately 299,792,458 meters per second (m/s), λ is the wavelength of light in meters (m), f is the frequency of light in hertz (Hz).
First, let's convert the wavelength from nanometers (nm) to meters (m): 550 nm = 550 × 10^(-9) m
Now we can use the formula to find the frequency:
c = λf f = c / λ
Substituting the values: f = 299,792,458 m/s / (550 × 10^(-9) m)
Calculating the frequency: f ≈ 5.45 × 10^14 Hz
Therefore, a light with a wavelength of 550 nm has a frequency of approximately 5.45 × 10^14 Hz.