Find an FM Radio station's wavelength, frequency given

Click For Summary
SUMMARY

The discussion centers on calculating the wavelength of an FM radio station broadcasting at a frequency of 101.3 MHz. The correct formula for wavelength is λ = v/f, where v is the speed of light (approximately 3 x 10^8 m/s for radio waves). The wavelength calculated using this formula is approximately 2.96 meters, contrasting with an incorrect initial calculation of 3.38 x 10^-6 meters. Additionally, the frequency of a sound source producing the same wavelength in 20°C air is determined to be 116 Hz.

PREREQUISITES
  • Understanding of electromagnetic wave properties
  • Familiarity with the formula λ = v/f
  • Knowledge of the speed of light (approximately 3 x 10^8 m/s)
  • Basic concepts of sound wave frequency and wavelength
NEXT STEPS
  • Research the speed of light in various media
  • Learn about electromagnetic wave propagation
  • Explore the differences between sound waves and electromagnetic waves
  • Study the effects of temperature on sound wave speed
USEFUL FOR

Students in physics, radio frequency engineers, and anyone interested in understanding the principles of wave mechanics and radio broadcasting.

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.
 
Oooooooooooooooo

......oh lol

thanks!
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 5 ·
Replies
5
Views
11K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 6 ·
Replies
6
Views
4K
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 5 ·
Replies
5
Views
6K
  • · Replies 6 ·
Replies
6
Views
7K
Replies
9
Views
6K
  • · Replies 7 ·
Replies
7
Views
6K