Final answer:
The frequency of violet light with a wavelength of 4.10 x 10^-12 meters is calculated to be approximately 7.32 x 10^19 Hz. However, this answer does not match the provided options, suggesting a typo in the wavelength value.
Step-by-step explanation:
The question is asking for the frequency of violet light with a known wavelength of 4.10 x 10^-12 meters. To find the frequency of this light, we use the equation c = λν where c is the speed of light in a vacuum, λ is the wavelength, and ν is the frequency. The speed of light (c) is a constant approximately equal to 3.00 x 10^8 m/s.
By rearranging the equation to solve for the frequency, we get ν = c / λ. Plugging the given values in, we get ν = (3.00 x 10^8 m/s) / (4.10 x 10^-12 m), which results in a frequency of approximately 7.32 x 10^19 Hz. This answer does not match any of the options provided in the question, and there seems to be a discrepancy, as the wavelength of violet light is commonly cited as approximately 400 nm and not 4.10 x 10^-12 m as stated in the question. This implies that there might be a typo within the question itself.