Final answer:
To calculate the frequency of a photon with a given energy, use the equation E = hf. Plugging in the given energy, we can solve for the frequency to be approximately 8.68 × 10^14 Hz. Therefore, the correct answer is 1.78 x 10^15 Hz.
Step-by-step explanation:
To calculate the frequency of a photon with a given energy, we can use the equation E = hf, where E is the energy of the photon, h is Planck's constant (6.626 × 10^-34 J·s), and f is the frequency of the photon.
Plugging in the given energy of 5.75x10^(-19) J, we can solve for the frequency:
f = E / h = (5.75x10^(-19) J) / (6.626 × 10^-34 J·s)
f ≈ 8.68 × 10^14 Hz
Therefore, the correct answer is option A) 1.78 x 10^15 Hz.