Final answer:
The frequency range of visible light, which has wavelengths from 400 to 700 nanometers, is approximately from 4.29 × 10¹⁴ to 7.50 × 10¹⁴ Hz. This associates with the color spectrum we can see, from violet to red.
Step-by-step explanation:
Frequency Range of Visible Light
Visible light is a form of electromagnetic radiation with wavelengths between 400 and 700 nanometers (nm). This falls within the visible spectrum, which is the range of electromagnetic waves that can be detected by the human eye. The frequency (ν) of electromagnetic waves is given by the equation ν = c/λ, where c is the speed of light (approximately 3.00 × 10¸ meters per second) and λ is the wavelength. Consequently, the frequency range corresponding to the visible spectrum can be calculated.
For the shortest wavelength of visible light (400 nm), the frequency is about 7.50 × 10¹⁴ Hz. Conversely, for the longest wavelength (700 nm), the frequency is about 4.29 × 10¹⁴ Hz. Therefore, the frequency range for visible light spans from approximately 4.29 × 10¹⁴ to 7.50 × 10¹⁴ Hz. This range of frequencies corresponds to a spectrum of colors from violet through red, with energy levels that are just right for excitation of the receptors in our eyes.