Answer :
To calculate the number of photons emitted by an FM radio station, you can use the formula number of photons = (power output / energy per photon) x (number of seconds). By plugging in the given values, we find that the station emits approximately 7.34 x 10^10 photons/s.
The number of photons emitted by an FM radio station can be calculated using the formula:
number of photons = (power output / energy per photon) x (number of seconds)
Given that the power output of the radio station is 50,000 W and the frequency is 98.1 MHz, which corresponds to a wavelength of approximately 3.05 meters, we can determine the energy per photon using the equation:
energy per photon = Planck's constant x (speed of light / wavelength)
Plugging in the given values, we can calculate the energy per photon as:
energy per photon = (6.63 x 10^-34 J s) x (3 x 10^8 m/s) / 3.05 m = 6.82 x 10^-7 J
Now we can substitute the values in the first equation to find the number of photons emitted:
number of photons = (50,000 W / 6.82 x 10^-7 J) = 7.34 x 10^10 photons/s
