Answer to Question #2858 in Atomic and Nuclear Physics for brek

Question

An 11,000-watt radio station transmits at 880 kHz. Calculate the number of photons that are emitted per second.

Answer 1

P = 11000 W
ν = 880 Hz
t = 1s

Energy of one photon is
E = hν
For n photons that would be
E_n= nhν
Also
P = E/t = nhν/t

Thus
n = Pt/hν = (11000 [W] ×1 [s])/(6.62×10^-34 [J×s]× 880 [s^(-1)])=1.88×10³⁴ photons