Final answer:
The frequency of green light with a wavelength of 531 nm is calculated by dividing the speed of light (3.00 × 10⁸ m/s) by the wavelength, resulting in a frequency of approximately 5.65 × 10ⁱ⁴ Hz, which is in the visible light spectrum.
Step-by-step explanation:
The frequency of green light with a wavelength of 531 nm can be calculated using the formula c = fλ, where c is the speed of light (3.00 × 10⁸ m/s), f is the frequency, and λ is the wavelength.
To find the frequency, we rearrange the equation to f = c / λ.
Substituting the given values:
f = (3.00 × 10⁸ m/s) / (531 nm)
First, convert the wavelength from nanometers to meters (since the speed of light is in meters per second):
531 nm = 531 × 10⁻⁹ m
Now, calculate the frequency:
f = (3.00 × 10⁸ m/s) / (531 × 10⁻⁹ m)
f = 5.65 × 10ⁱ⁴ Hz
The calculated frequency falls within the range for visible light.