Question

An FM radio station broadcasts at 94.6 MHz. What is the wavelength of the corresponding radio waves?

Answer 1

`"velocity" = "frequency" xx "wavelength"`

`v=f*lambda`

Explanation:

The information you're given, 94.6 MHz is a frequency, so that is your `f`. Then, electromagnetic waves travel at the speed of light, c , which is `2.99 xx 10^8 m/s`

Converting 94.6 MHz to scientific notation `9.46xx10^7` `"cycles/sec"`.

So,

`2.99 xx 10^8 m/s = 9.46xx10^7 1/s xx lamda`

Then,

`{2.99xx10^8m/s}/{9.46xx10^7 1/s}="3.16 m"`