Final answer:
To determine the wavelength, frequency, and color of visible light with a photon energy of 4.407 x 10⁻¹⁹ J, we can use Planck's constant and the speed of light. The associated wavelength and frequency can be found using the formulas for energy-wavelength and speed-frequency relationships. The color can be inferred from the range of visible wavelengths.
Step-by-step explanation:
The energy of a photon is given as 4.407 x 10⁻¹⁹ J. To find the wavelength (λ), we can use the energy-wavelength relationship, which involves Planck's constant (h) and the speed of light (c), given by the formula E = hc/λ. Using the values h = 6.626 x 10⁻4 J⋅s and c = 3.00 x 10⁸ m/s, the wavelength can be calculated as λ = hc/E.
Once the wavelength is determined, we can find the frequency (f) by using the relationship c = fλ. The color can then be inferred based on the wavelength within the visible spectrum, typically ranging from 400 nm (violet) to 700 nm (red).