Final answer:
To find the number of photons per second produced by a radio station, we can use the relationship between power and energy of each photon. The energy of each photon is calculated using the equation E = hf, where E is the energy, h is the Planck's constant, and f is the frequency. By dividing the power output by the energy of each photon, we can determine the number of photons per second.
Step-by-step explanation:
To find the number of photons per second produced by a radio station with a given power output, we can use the relationship between power and energy of each photon. The energy of a photon can be calculated using the equation E = hf, where E is the energy, h is the Planck's constant (6.626 x 10^-34 J.s), and f is the frequency. In this case, the frequency is given as 680 kHz, which can be converted to 680 x 10^3 Hz. Using the power output of 47.0 kW, we can calculate the energy of each photon. The number of photons per second can then be found by dividing the power output by the energy of each photon.
First, calculate the energy of each photon: E = (6.626 x 10^-34 J.s) x (680 x 10^3 Hz) = 4.50 x 10^-21 J.
Next, calculate the number of photons per second: Number of photons per second = (47.0 kW) / (4.50 x 10^-21 J) = 1.04 x 10^25 photons/s.