Final answer:
The frequency of light with a wavelength of 566 nm is calculated using the equation c = λf by converting the wavelength to meters and solving for f, yielding a frequency of 5.3 × 10^14 Hz.
Step-by-step explanation:
To determine the frequency of light with a given wavelength, we can use the equation c = λf, where c is the speed of light (3.0 × 108 m/s), λ is the wavelength of the light, and f is the frequency. First, we need to convert the wavelength from nanometres to meters by multiplying it by 1 x 10-9.
For a wavelength of 566 nm, the calculation would look like this:
λ = 566 nm × 1 x 10-9 m/nm = 566 x 10-9 m
Now, to find the frequency (f), rearrange the equation to f = c / λ:
f = 3.0 × 108 m/s / 566 x 10-9 m
= 5.3 × 1014 Hz
Therefore, the frequency of light with a wavelength of 566 nm is 5.3 × 1014 Hz.