Finding the frequency and wavelength of an electromagnetic wave

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SUMMARY

The discussion centers on the behavior of electromagnetic waves as they transition from water to glass, specifically addressing the frequency, wavelength, and velocity of the waves. Participants conclude that while the frequency of the waves remains constant during this transition, the velocity and wavelength decrease due to the refractive index of glass, which is approximately 1.33. The calculations presented utilize the formula for wave propagation, confirming that the frequency remains unchanged while the wavelength adjusts according to the medium's properties.

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  • Understanding of electromagnetic wave properties
  • Knowledge of refractive index and its implications
  • Familiarity with wave equations and calculations
  • Basic principles of wave propagation in different media
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  • Learn about Snell's Law and its application in wave refraction
  • Explore the concept of wave frequency and its invariance during medium transitions
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Students in physics, educators teaching wave mechanics, and professionals in optics or materials science seeking to understand wave behavior in different media.

aChordate
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Homework Statement



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Homework Equations



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The Attempt at a Solution



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Do I set up a proportion to first find the frequency of the electromagnetic wave in glass?

1.33/(3.42*1014)=1.62/fglass= 4.17*1014
 
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aChordate said:

Homework Statement



View attachment 60137


Homework Equations



View attachment 60138

The Attempt at a Solution



View attachment 60138

Do I set up a proportion to first find the frequency of the electromagnetic wave in glass?

1.33/(3.42*1014)=1.62/fglass= 4.17*1014

Put the equations aside for a minute and imagine your wave propagating from water into glass. Can the frequency change?
 
I was wondering about that. I wouldn't think the frequency or the wavelength would change. Maybe it would just be slowed down??
 
aChordate said:
I was wondering about that. I wouldn't think the frequency or the wavelength would change. Maybe it would just be slowed down??

Pick a point in the water and imagine you have 100 waves/sec passing by. Now pick a point in the glass. You must also have 100 waves/sec passing by, otherwise some waves are getting lost somewhere in between. Can't happen. Now tell me again what can change.
 
So the frequency changes, but not the wavelength?
 
aChordate said:
So the frequency changes, but not the wavelength?

That's sort of the opposite of what I was trying to convey. If 100 waves/sec go in one end then 100 waves/sec must come out the other end, otherwise something is eating waves in between. That's not the picture. I'm trying to convince you the frequency can't change. So two other things must change.
 
Wavelength and velocity.

Glass would decrease the velocity and also decrease the wavelength (?)
 
aChordate said:
Wavelength and velocity.

Glass would decrease the velocity and also decrease the wavelength (?)

Sure!
 
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