Final answer:
Using the equation E = hf, where E is the energy, h is Planck's constant, and f is the frequency, the energy of a photon with a frequency of 5.71 x 10^14 Hz is calculated to be 3.79 x 10^-19 J, which corresponds to answer (a).
Step-by-step explanation:
The amount of energy carried by a photon can be calculated using the equation E = hf, where E is the energy in joules, h is Planck's constant (6.626 x 10-34 J·s), and f is the frequency of the photon in hertz (Hz). To find the energy of a photon with a frequency of 5.71 x 1014 Hz, we can plug the values into the equation:
E = (6.626 x 10-34 J·s) (5.71 x 1014 Hz)
After doing the multiplication:
E = 3.79 x 10-19 J
Therefore, the correct answer to the question is (a) 3.79 x 10-19 J.