Final answer:
The frequency of a light wave with a wavelength of 4.70 x 10^-7 meters is calculated using the formula c = λf and is found to be approximately 6.38 x 10^14 Hz. So the correct option is D.
Step-by-step explanation:
The question asks for the frequency of a light wave with a given wavelength of 4.70 x 10-7 meters (or 470 nm). To find the frequency of a light wave, we can use the formula c = λf, where 'c' is the speed of light in a vacuum (approximately 3.0 x 108 m/s), 'λ' is the wavelength, and 'f' is the frequency. Substituting the given wavelength into the equation and solving for frequency, we get:
f = c / λ
f = (3.0 x 108 m/s) / (4.70 x 10-7 m)
f = 6.38 x 1014 Hz
Therefore, the frequency of the light wave is approximately 6.38 x 1014 Hz, which corresponds to option D.