Final answer:
The energy of a photon can be calculated using the formula E = hf, where E is the energy, h is Planck's constant, and f is the frequency. In this question, we are given the wavelength of the photon. Using the formula c = λf, we can find the frequency and then calculate the energy.
Step-by-step explanation:
To calculate the energy of a photon, we can use the formula E = hf, where E is the energy, h is Planck's constant (6.626 × 10-34 J·s), and f is the frequency of the photon. However, in this question, we are given the wavelength of the photon (499.2 nm), not the frequency. To find the frequency, we can use the formula c = λf, where c is the speed of light (3.00 × 108 m/s) and λ is the wavelength. Rearranging this formula, we get f = c/λ. Plugging the values into the formula:
f = (3.00 × 108 m/s) / (499.2 × 10-9 m) = 6.0096 × 1014 Hz
Now we can calculate the energy using E = hf:
E = (6.626 × 10-34 J·s)(6.0096 × 1014 Hz) = 3.976 × 10-19 J