Question

local AM radio station broadcasts at a frequency of 685.9 kHz. Calculate the wavelength at which they are broadcasting. Wavelength

Answer 1

λ = 437 m.

Step-by-step explanation:

• Since a radio wave is a electromagnetic type of wave, it propagates approximately at the same speed of light in vacuum, 3*10⁸ m/s.
• As in any wave, there exist a fixed relationship between the propagation speed, the wavelength and the frequency of the radio wave, as follows:

`c = \lambda* f (1)`

• Replacing by the values of the speed and the frequency, and solving for the wavelength λ, we get:

`\lambda = (c)/(f) =(3e8 m/s)/(685.9e31/s) =437 m (2)`