To determine the number of photons per second produced by a radio station, you can use the equation: Number of photons per second = Power output / Energy per photon. By substituting the given values and simplifying the expression, the number of photons per second is approximately 1.10 x 10^18 photons/s.
Step-by-step explanation:
To determine the number of photons per second produced by a radio station, we need to use the equation:
Number of photons per second = Power output / Energy per photon
First, we need to convert the power output from kilowatts to watts. 48.0 kW is equal to 48,000 W.
Next, we need to calculate the energy per photon using the equation:
Energy per photon = Planck's constant * frequency
Planck's constant (h) is equal to 6.626 x 10^-34 J·s, and the frequency (f) is given as 670 kHz, which is equal to 670,000 Hz.
Now we can substitute the values into the equation to find the number of photons per second:
Number of photons per second = 48,000 W / (6.626 x 10^-34 J·s * 670,000 Hz)
Simplifying the expression gives us the final answer of approximately 1.10 x 10^18 photons/s.