Final answer:
The wavelength of light with a frequency of 4.62 × 10^14 s^-1 is approximately 649 nm, calculated using the relationship between wavelength, frequency, and the speed of light.
Step-by-step explanation:
The wavelength of light that has a frequency of 4.62 × 1014 s-1 can be calculated using the speed of light equation, c = λf, where λ is the wavelength, f is the frequency, and c is the speed of light (approximately 3.0 × 108 m/s). To find the wavelength (λ), the equation can be rearranged to λ = c / f. Substituting the given frequency and the speed of light into the equation gives us λ = (3.0 × 108 m/s) / (4.62 × 1014 s-1), which simplifies to approximately 649 nm when the answer is converted from meters to nanometres using the conversion 1 m = 109 nm.