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An FM radio station with a frequency of 98.1 MHz emits a signal of 50,000 W. How many photons per second are emitted?

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

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