Final answer:
The wavelength of a photon with a frequency of 6.165 x 10^14 Hz is calculated using the formula λ = c/f, resulting in a wavelength of 4.87 x 10^-7 meters.
Step-by-step explanation:
To calculate the wavelength of a photon of light with a given frequency, you can use the formula λ = c/f, where λ is the wavelength, c is the speed of light in a vacuum (approximately 3.00 × 108 m/s), and f is the frequency of the light. The student's question involves a frequency of 6.165 × 1014 Hz.
Using the formula, we find:
λ = (3.00 × 108 m/s) / (6.165 × 1014 Hz)
λ = 4.87 × 10-7 meters
The correct answer is A) 4.87 × 10-7 meters.