$$c = fλ$$
Where:
- c is the speed of light (299,792,458 meters per second)
- f is the frequency of the photon in Hertz (Hz)
- λ is the wavelength of the photon in meters (m)
In this case, the wavelength is given as 6000 nanometers (nm). To convert nanometers to meters, we need to divide by 1,000,000,000:
λ = 6000 nm = 6000 × 10^-9 m = 0.000006 m
Now we can plug this wavelength into the equation to find the frequency:
$$f = c/λ = (299,792,458 m/s)/(0.000006 m) = 4.99654 × 10^14 Hz$$
Therefore, the frequency of a photon with a wavelength of 6000 nm is 4.99654 × 10^14 Hz.
