Final answer:
The frequency of yellow-green light, which has a wavelength of 5.75 × 10⁻⁷ m, is approximately 5.22 × 10¹⁴ Hz, calculated using the formula f = c/λ with the speed of light c = 3.00 × 10⁸ m/s.
Step-by-step explanation:
The frequency of yellow-green light, to which the human eye is most sensitive, can be determined using the equation for the relationship between wavelength, frequency, and the speed of light: c = fλ, where c is the speed of light, f is the frequency, and λ is the wavelength.
Given the speed of light as 3.00 × 10⁸ m/s and the wavelength of yellow-green light as 5.75 × 10⁻⁷ m, we can rearrange this equation to solve for frequency (f).
By rearranging the equation to f = c/λ, we find:
f = (3.00 × 10⁸ m/s) / (5.75 × 10⁻⁷ m)
The frequency of this yellow-green light is thus approximately 5.22 × 10¹⁴ Hz.