Question

An FM radio station broadcasts at 9.23 × 107 Hz. Given that the radio waves travel at 3.00 × 108 m/s, what is the wavelength of these waves?

Answer 1

Hey there smarty!

Let's consider this. So, this station here, they broadcast at 9.23 × 107 Hz.

There wave travels at 3.00 × 108 m/s.

By divided them both, (which this is what we would do), we would conclude to get the answer as (3.25 m).

Hope this helps you!

Answer 2

The wavelength of these waves is
`\lambda=3.25\ m`.

Step-by-step explanation:

The wavelength (
`\lambda`) of a periodic wave is the distance between consecutive points with the same phase, like crests.

We are told that the radio station broadcasts at a frequency of
`f=9.23x10^(7) Hz` and that the radio waves travel at a speed of
`v=3.0x10^(8)(m)/(s)`.

The wavelength (
`\lambda`) depends on the speed (
`v`) and the frequency (
`f`). We use the expression:

`\lambda=(v)/(f)`

Replacing those values we get that

`\lambda=(3.0x10^(8)(m)/(s))/(9.23x10^(7)(1)/(s))`

`\lambda=3.25\ m`