# Find an FM Radio station's wavelength, frequency given

1. Sep 22, 2007

### aliaze1

[SOLVED] Find an FM Radio station's wavelength, frequency given

1. The problem statement, all variables and given/known data

An FM radio station broadcasts at a frequency of 101.3 MHz. What is the wavelength?

2. Relevant equations

Vsound = 343m/s @ 20 deg C
λ = v/f

3. The attempt at a solution

I used the formula λ = v/f and got something similar to 3.38 * 10 ^ -6 meters...kinda small, and the MHz/Hz difference doesnt matter since that is a decimal place thing, which doesn't change the value...anyways..the computer says the answer is 2.96 ....anybody know why?

so i moved on to the next subproblem:

What is the frequency of a sound source that produces the same wavelength in 20 deg C air?

The answer is 116 Hz , which makes sense once you use 2.96 and Vsound = 343 and manipulate the formula. And since the question asks about 20 deg C, I then thought that perhaps the first question was refering to 0 deg C, but still I didnt get 2.96, so it is still incorrect... what am I doing wrong?

Thanks!

Last edited: Sep 22, 2007
2. Sep 22, 2007

### Kurdt

Staff Emeritus
A radio station broadcasts radio waves which are EM waves not sound waves. Thus v for the radio station will be the speed of light.

3. Sep 22, 2007

### aliaze1

Oooooooooooooooo

......................oh lol

thanks!!!