An AM radio station broadcasts an electromagnetic wave with a frequency of 586 kHz, whereas an FM station broadcasts an electromagnetic wave with a frequency of 90.9 MHz. How many AM photons are needed to have a total energy equal to that of one FM photon?

156AM

Explanation:

The energy of a photon can be calculated using Planck-Einstein relation:

E = h x f

where,

E is the energy of the photon

h is Planck's constant (6.626 . 10⁻³⁴ J . s)

f is the frequency associated to the photon

Energy = h(planck's constant) x frequency

so, to get the final answer we just have to divide the given two frequencies.

=> (90.9 x 10^6)/(586 x 10^3)

= 155.811

≅ 156

so 156 AM photons are required to have the energy of a FM photon.

nah.   i'm just sleepy.