Physics: AM Radio Station Emits Photons/sec at 1000-kHz

[yakin]

Physics: An 84-kW AM radio station broadcasts at 1000-kHz. How many photons are emitted each second by the transmitting antenna? (h=6.626E-32 Js)

 

[zzephod]

Physics: An 84-kW AM radio station broadcasts at 1000-kHz. How many photons are emitted each second by the transmitting antenna? (h=6.626E-32 Js)

Energy of a single photon with frequency \(\displaystyle \nu\) is:

\(\displaystyle E_{\nu}=h \nu\)

where \(\displaystyle h\) Plank's constant.

So for our 1000 kHz signal the energy of a single photon is:

\(\displaystyle E_{\nu}=h \nu= 6.626\times 10^{-32} \times 1000 \times 1000= 6.626\times 10^{-28}\) J

The radio station is emitting \(\displaystyle E_s=8.4\times 10^4\) Joules per second, so the number of photons emited per second is:

\(\displaystyle N=\frac{E_s}{E_{\nu}}\)

.