Final answer:
The energy of the frequency at which the local radio station is broadcasting is approximately 4.16 × 10^-26 Joules.
Step-by-step explanation:
The energy of a photon can be calculated using the equation E = hf, where E represents energy, h represents Planck's constant (6.626 × 10-34 J·s), and f represents frequency.
In this case, the frequency of the radio station is given as 629 kHz, which can be converted to 629 × 103 Hz.
Using the equation, we can calculate the energy:
E = (6.626 × 10-34 J·s)(629 × 103 Hz)
E ≈ 4.16 × 10-26 J
Therefore, the energy of the frequency at which the local radio station is broadcasting is approximately 4.16 × 10-26 Joules.