Speed of Light: Wave Frequency & Wavelength Explained

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SUMMARY

The discussion clarifies the relationship between frequency, wavelength, and velocity in electromagnetic waves. Specifically, when the frequency of wave A is twice that of wave B, the ratio of their wavelengths in a vacuum is 1/2. This is due to the constant speed of light, which necessitates that an increase in frequency results in a proportional decrease in wavelength. The equation frequency * wavelength = velocity is key to understanding this concept.

PREREQUISITES
  • Understanding of electromagnetic wave properties
  • Familiarity with the equation frequency * wavelength = velocity
  • Basic knowledge of the speed of light in a vacuum
  • Concept of wave frequency and wavelength ratios
NEXT STEPS
  • Study the implications of the speed of light on wave behavior
  • Explore the concept of electromagnetic spectrum and its components
  • Learn about wave-particle duality in quantum mechanics
  • Investigate practical applications of frequency and wavelength in telecommunications
USEFUL FOR

Students of physics, educators teaching wave mechanics, and professionals in telecommunications and optics will benefit from this discussion.

BoogieL80
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I was having a little trouble understanding a concept in my book. My book asked the following question:

The frequency of electromagnetic wave A is twice that of electromagnetic wave B. For these two waves, which is the ratio wavelengthA/wavelengthB of the wavelengths in a a vacuum?

The answer turned out to be that the ratio would equal 1/2 because both waves have the same speed. I was able to calculate the 1/2 in my ratio, but I didn't understand how both waves would have the same velocity. I know frequency * wavelenth = velocity. If frequency is twice as large in one wave, how can they have the same speed?
 
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Frequency * wavelength = velocity.

If velocity is fixed, then doubling frequency requires halving wavelength. That's what the question wanted you to realize.

- Warren
 

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