Is there a fractional frequency of light?

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Discussion Overview

The discussion revolves around the concept of fractional frequencies of light within the electromagnetic wave spectrum, exploring the implications of a continuous spectrum and the nature of monochromatic light sources, particularly lasers. Participants examine the relationship between frequency, wavelength, and the practicalities of producing interference patterns.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • Some participants propose that if the electromagnetic wave spectrum is continuous, then there should be infinite possible wavelengths and fractional frequencies, such as 25.2 Hz.
  • Others argue that any frequency is allowed, and the Doppler effect can finely adjust the frequency and wavelength of light emitted from a laser.
  • It is noted that there is no perfectly monochromatic light source, as all sources emit light over a certain bandwidth, including lasers, which produce peaks rather than lines in the spectrum.
  • One participant discusses how numerical values can appear different based on the choice of units, suggesting that exact non-fractional values may be artifacts of these choices.
  • Concerns are raised about the accuracy of numerical conversions, with some participants questioning the validity of equating 25.2 Hz with 25200 kHz, suggesting it may be an error rather than a unit choice issue.
  • There is a discussion about the importance of clarity in distinguishing between valid unit conversions and errors in numerical representation.

Areas of Agreement / Disagreement

Participants express differing views on the existence and implications of fractional frequencies, the nature of monochromatic light, and the significance of numerical values based on unit choices. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Limitations include potential misunderstandings regarding unit conversions and the implications of numerical values, as well as the dependence on definitions of monochromaticity and frequency.

Mustafa Bayram
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If emw spectrum is continuous, possible wavelengths should be infinite and there should be fraction of frequencies like 25,2 hertz. Well is there a fractional frequency of light?
In high school when we are teaching interference of light we say "only the same wavelength of lights interfere with each other because of that we are using a monochromatic light source". If the spectrum is infinite, the only way to have monochromatic light and see the interference pattern becomes lasers.
 
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There are fractional frequencies - any frequency is allowed.
Even with a laser, I could move the laser device towards you or away from you and the Doppler effect would finely adjust the frequency and wavelength.

As a matter of practicality, lasers are the way to produce interference patterns with light.
 
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Mustafa Bayram said:
If emw spectrum is continuous, possible wavelengths should be infinite and there should be fraction of frequencies like 25,2 hertz. Well is there a fractional frequency of light?
In high school when we are teaching interference of light we say "only the same wavelength of lights interfere with each other because of that we are using a monochromatic light source". If the spectrum is infinite, the only way to have monochromatic light and see the interference pattern becomes lasers.
There is no such thing as a perfectly monochromatic source: all sources send out light over a certain bandwith; this also includers lasers. That is, the spectrum of light contains "peaks" rather than "lines".,
 
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Mustafa Bayram said:
there should be fraction of frequencies like 25,2 hertz
Sure. 25.2 hertz is 25200 kHz, or 25200000 megahertz…. and those numbers would look completely different if we reported the frequency in cycles per fortnight instead of cycles per second.

Exact non-fractional values and remarkable numerical correlations between otherwise unrelated quantities are most often artifacts of our choice of units, with no physical significance.
 
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Nugatory said:
25.2 hertz is 25200 kHz, or 25200000 megahertz ...
Misplaced decimal points?
 
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Hyperfine said:
Misplaced decimal points?
No, an example of how choice of units definitions affects numerical values.
 
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Nugatory said:
correlations between otherwise unrelated quantities are most often artifacts of our choice of units, with no physical significance.
what he said (very small).jpg
 
phinds said:
No, an example of how choice of units definitions affects numerical values.
Then remove the word "is". As stated it equates 25.2 Hz with 25200 KHz. That is not a choice of units, it is simply an error.
 
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Hyperfine said:
Then remove the word "is". As stated it equates 25.2 Hz with 25200 KHz. That is not a choice of units, it is simply an error.
Of course it's an error - responding quickly while on the road. The general point about units is valid, the numbers are wrong.
 
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Nugatory said:
Of course it's an error - responding quickly while on the road. The general point about units is valid, the numbers are wrong.
Exactly. My concern was that distinction may well not be so obvious within a class B thread. Thus I pointed it out.
 
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