Final answer:
The frequency of light with a wavelength of 633 nm is 4.74 × 10⁴ Hz, calculated using the speed of light in a vacuum and the given wavelength.
Step-by-step explanation:
The frequency of light whose wavelength is 633 nm can be calculated using the equation λν = c, where λ is the wavelength, ν (nu) is the frequency, and c is the speed of light in a vacuum which is approximately 3 × 10⁸ m/s. To find the frequency, we can rearrange the equation to ν = c / λ.
First, convert the wavelength from nanometers to meters by multiplying by 10⁻⁹ (1 nm = 1 × 10⁻⁹ m). So, 633 nm is 633 × 10⁻⁹ m. Now we can calculate the frequency:
ν = 3 × 10⁸ m/s / 633 × 10⁻⁹ m = 4.74 × 10¹⁴ Hz
Therefore, the correct answer is c. 4.74 × 10¹⁴ Hz.
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