The highest frequency of visible light corresponds to the shortest wavelength, which is 400 nm. Using the speed of light and the relationship between wavelength and frequency, the highest frequency is calculated to be 7.5 × 10¹⁴ Hz.
Step-by-step explanation:
The highest frequency associated with visible light is determined by using the lowest wavelength of the spectrum, which is 400 nm. To find the frequency, we use the formula for the relationship between the speed of light (c), wavelength (λ), and frequency (f): c = λ * f. Given that the speed of light is a constant (approximately 3.0 × 10¸ m/s), the formula can be rearranged to solve for frequency: f = c / λ.
Using the wavelength of 400 nm (which needs to be converted to meters by multiplying by 10¹⁹ to get 4.0 × 10¹⁹ m), we can calculate the highest frequency of visible light:
f = (3.0 × 10¸ m/s) / (4.0 × 10¹⁹ m) = 7.5 × 10¹⁴ Hz
Therefore, the correct answer is c. 7.5 × 10¹⁴ Hz.