Question

AM radio signals are broadcast at frequencies between 550 kilohertz (kHz) and 1600 kilohertz. FM radio signals are broadcast at frequencies between 88.0 megahertz (MHz) and 108.0 megahertz.a. What is the wavelength of an AM station with a frequency of 790 kilohertz? Include units in your answer.

Answer 1

In order to calculate the wavelength of this wave, we can use the formula below:

$\lambda=\frac{c}{f}$

Where c is the speed of light in vacuum (c =3 * 10^8 m/s) and f is the frequency.

So, using f = 790 * 10^3 Hz, we have:

$\begin{gathered} \lambda=\frac{3\cdot10^8}{790\cdot10^3}\\ \\ \lambda=\frac{3000\cdot10^5}{790\cdot10^3}\\ \\ \lambda=3.79747\cdot10^2\text{ m}\\ \\ \lambda=379.747\text{ m} \end{gathered}$

Therefore the wavelength is 379.747 meters.