Final answer:
The energy of a photon with a wavelength of 572.1 nm is approximately 3.47 x 10^-19 J.
Step-by-step explanation:
The energy of a photon can be calculated using the formula E = hf, where E is the energy, h is Planck's constant (6.63 x 10^-34 J·s), and f is the frequency of the photon.
To find the energy of a photon with a given wavelength, you can use the formula c = λf, where c is the speed of light (3.00 x 10^8 m/s), λ is the wavelength, and f is the frequency.
In this case, the wavelength is given as 572.1 nm. To find the frequency, you can rearrange the formula to f = c/λ. Plugging in the values, you get f = (3.00 x 10^8 m/s) / (572.1 x 10^-9 m) = 5.246 x 10^14 Hz.
Now you can calculate the energy using E = hf. Plugging in the values for h and f, you get E = (6.63 x 10^-34 J·s) x (5.246 x 10^14 Hz) = 3.47 x 10^-19 J.