Calculate the energy of a photon of electromagnetic radiation at each of the following frequencies.

Question

Calculate the energy of a photon of electromagnetic radiation at each of the following frequencies.

1. 106.2 MHz (typical frequency for FM radio broadcasting)
2. 1065 kHz (typical frequency for AM radio broadcasting) (assume four significant figures)

Answer 1

E = hv

E = energy = ?

h = Planck's constant = 6.626x10^-34 Js

v = frequency in s^-1 or Hz = 106.2 MHz x 1 Hz / 10^-6 MHz = 106.2x10⁶ s^-1

E = (6.626x10^-34 Js)(106.2x10⁶ s^-1)

E = 7.03x10^-26 J

Do the 2nd question the same way except use 1065 kHz x 1 Hz / 10^-3 kHz = 1065x10³ s^-1