Final answer:
The wavelength of a photon with a frequency of 3.41 x 10^14 Hz is 880 nm, which is calculated using the equation λ = c / f, where λ is wavelength, c is the speed of light, and f is the frequency of the photon.
Step-by-step explanation:
The wavelength of a photon can be determined using the relationship between wavelength (λ), frequency (f), and the speed of light (c). The equation is c = fλ, where c represents the speed of light in a vacuum, which is approximately 3.00 × 108 m/s. To find the wavelength of a photon with a frequency of 3.41 × 1014 Hz, we rearrange the equation to solve for λ: λ = c / f.
λ = (3.00 × 108 m/s) / (3.41 × 1014 Hz)
λ = 8.80 × 10-7 meters or 880 nm (nanometers), which falls within the range of infrared light.