Answer :
The radio station produces approximately 5.6 x [tex]10^2^4[/tex] photons every second at a frequency of 101.2 MHz with a power of 90.13 kW.
What is the estimated number of photons produced per second?
The number of photons produced by a radio station is determined by its power output and frequency. The formula used to calculate the number of photons produced per second is given by the equation:
n = (P/E) x Avogadro's number
Where n is the number of photons, P is the power in watts, E is the energy per photon (Planck's constant x frequency), and Avogadro's number is the number of particles per mole (6.022 x [tex]10^2^3[/tex]).
Using the given values of power (90.13 kW) and frequency (101.2 MHz), we can calculate the energy per photon to be 1.24 x [tex]10^-^2^5[/tex] joules. Substituting these values into the equation, we get:
n = (90.13 x [tex]10^3[/tex] / 1.24 x [tex]10^-^2^5[/tex]) x 6.022 x [tex]10^2^3[/tex]
n = 5.6 x [tex]10^2^4[/tex] photons/second
Therefore, a radio station broadcasting with a power of 90.13 kW at a frequency of 101.2 MHz produces approximately 5.6 x [tex]10^2^4[/tex] photons per second.
Learn more about Avogadro's number
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