Final answer:
The energy of a photon with a wavelength of 0.050 cm can be calculated using the formula E = hc/λ. Converting the wavelength to meters and plugging the values into the formula, the energy is found to be 3.9768 × 10^-19 J.
Step-by-step explanation:
The energy of a photon can be calculated using 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 of the photon.
Given a wavelength of 0.050 cm, we first need to convert it to meters. 1 m = 10^2 cm, so 0.050 cm = 0.050 × 10^-2 m = 5 × 10^-4 m.
Plugging in the values into the formula, we get:
E = (6.626 × 10^-34 J×s)(3.00 × 10^8 m/s) / (5 × 10^-4 m) = 3.9768 × 10^-19 J
Therefore, the energy of the photon is 3.9768 × 10^-19 Joules.