Final answer:
To determine the energy of a photon with a wavelength of 364 nm, use the formula E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength in meters. The energy of the photon is approximately 1.723 × 10^-19 J.
Step-by-step explanation:
To determine the energy of a photon with a wavelength of 364 nm, we can use the formula E = hc/λ, where E is the energy of the photon, h is Planck's constant (6.626 × 10^-34 J × s), c is the speed of light (3.00 × 10^8 m/s), and λ is the wavelength in meters.
First, we need to convert the wavelength from nanometers to meters by dividing it by 10^9. So, 364 nm is equal to 364 × 10^-9 m.
Plugging the values into the formula, we get E = (6.626 × 10^-34 J × s) × (3.00 × 10^8 m/s) / (364 × 10^-9 m).
Simplifying the expression, we find that the energy of the photon is approximately 1.723 × 10^-19 J.