Final answer:
Using the equation c = fλ, the frequency of light with a wavelength of 450 nm moving at the speed of light is found to be 6.67 × 10^14 Hz, which is option C.
Step-by-step explanation:
To determine the frequency of the light, we use the relationship c = fλ, where c is the speed of light, f is the frequency, and λ is the wavelength. We can rearrange this formula to solve for the frequency (f) as follows: f = c / λ.
Given the wavelength of the light is 450 nm (4.50 × 10^-7 m), and knowing that the speed of light (c) in a vacuum is 3.0 × 10^8 m/s, we can calculate the frequency:
f = 3.0 × 10^8 m/s / 4.50 × 10^-7 m = 6.67 × 10^14 Hz
Therefore, the correct frequency of the light is 6.67 × 10^14 Hz, which falls within the range for visible light and corresponds to option C.