Final answer:
The wavelength of light associated with a photon energy of 9.05 × 10⁻²⁴ J is approximately 0.022 m, which falls into the microwave portion of the electromagnetic spectrum. The correct answer is C. 0.022 m; microwave.
Step-by-step explanation:
To find the wavelength of light associated with a photon energy of 9.05 × 10⁻²⁴ J, one can use the energy equation for photons, which is E = hν or E = hc/λ, where E is the energy, h is Planck's constant (6.626 × 10⁻³⁴ J × s), c is the speed of light (3 × 10⁸ m/s), ν is the frequency, and λ is the wavelength. Rearranging this equation and solving for λ yields λ = hc/E. Inserting the given energy and known constants, the wavelength (λ) is approximately 2.20 × 10⁻² m which falls into the microwave portion of the electromagnetic spectrum. So, the correct answer is C. 0.022 m; microwave.