Solve Wave Speed Equation: Frequency, Wavelength & 3x108

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SUMMARY

The wave speed equation, defined as Speed = Frequency x Wavelength (v = fλ), is fundamental in understanding electromagnetic (EM) waves. The speed of all EM waves is consistently 3 x 108 m/s. To find the wavelength of a radio frequency, such as 92.2 x 106 Hz, one must rearrange the equation to λ = v/f and substitute the known values. This straightforward calculation allows for the determination of wavelength, reinforcing the relationship between frequency and wave speed.

PREREQUISITES
  • Understanding of the wave speed equation (v = fλ)
  • Basic knowledge of electromagnetic spectrum frequencies
  • Familiarity with unit conversion (Hz to m)
  • Concept of wave velocity as the speed of light (3 x 108 m/s)
NEXT STEPS
  • Practice calculations using the wave speed equation with different frequencies
  • Explore the relationship between frequency and wavelength in various EM wave types
  • Learn about the implications of wave speed in communication technologies
  • Investigate real-world applications of the wave speed equation in physics
USEFUL FOR

Students beginning their studies in physics, educators teaching wave mechanics, and anyone interested in the principles of electromagnetic waves and their applications.

garyadamson
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I was hoping somebody could help me with the "wave speed" equation relating to the EM spectrum.

The equation is:
Speed = Frequency x wavelength (v=fλ)

I believe the speed of all EM waves is 3 x 108

this all seems simple enough, however i find putting this into practice somewhat complicated.

For instance; "A radio frequency has a frequency of 92.2 x 106 Hz. Find its wavelength" How would I go about tackling such a question? If anybody could give me a step by step guide I'd be eternally greatful!

Thanks
 
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Well, rearrange the equation, to give \lambda=\frac{v}{f}, then plug in the numbers.
 
Hmmmm...

Thanks, but what exactly must I do. Any chance of a step by step guide of how you'd do it?
 
Well, that pretty much tells you! You rearrange the formula, then put in the value of v and the value of f. You divide the value of v by the value of f and you have \lambda. What particular part don't you understand?
 
Thanks, I think I was just going through a phase of thinking too hard without taking a step back and lookinga at the bigger picture. I fully understand now!
 
I am sorry for interuptting but i am now starting physics in form 4 but don't seem to understand ...watching the question you used as a example ...what is v then
 
v is the velocity of the wave, which for any electromagnetic wave (light, radio, micro, gamma, etc) is c, the speed of light (3x10^8 m/s).
 
orrr ok...thankssss...now understand...
 

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