Find an FM Radio station's wavelength, frequency given

Join the discussion
Registration is free. Start your own thread to ask a follow-up.
2 replies · 35K views
aliaze1
Messages
173
Reaction score
1
[SOLVED] Find an FM Radio station's wavelength, frequency given

Homework Statement



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

Homework Equations



Vsound = 343m/s @ 20 deg C
λ = v/f

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 doesn't 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 referring to 0 deg C, but still I didnt get 2.96, so it is still incorrect... what am I doing wrong?

Thanks!
 
Last edited:
Physics news on Phys.org
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.