Understanding Wavelength & Frequency: c vs. v

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Discussion Overview

The discussion revolves around the equations relating wavelength and frequency in the context of wave propagation, specifically addressing the distinction between the symbols \(c\) and \(v\). It also touches on the penetration of different wavelengths through materials, exploring the conditions under which shorter or longer wavelengths may penetrate deeper.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant expresses confusion regarding the equations \(f = \frac{v}{\lambda}\) and \(f = \frac{c}{\lambda}\), seeking clarification on when to use each.
  • Another participant suggests that \(v\) refers to a particle or wave at any velocity, while \(c\) is specifically for light in a vacuum.
  • A question is raised about the applicability of \(c\) when considering other sources of waves, such as the electromagnetic spectrum.
  • There is a discussion about the penetration of short versus long wavelengths, with one participant noting that while short wavelengths have more energy, the penetration depth is not universally determined and depends on material properties.
  • Another participant challenges the assertion that short wavelengths generally penetrate deeper, indicating that it varies based on material, surface conditions, and frequency ranges.
  • A further comment highlights that the transmission characteristics of materials can lead to exceptions, using glass as an example where UV light (shorter wavelength) does not penetrate despite its energy.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the relationship between wavelength, frequency, and penetration depth, with multiple competing views presented regarding the conditions affecting these phenomena.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about material properties and the generalization of wavelength penetration, which are not universally applicable.

Air
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Hello, I confused as there are 2 very similar equation but I do not know when to use each of them. They are:

[itex]f = \frac{v}{\lambda}[/itex] and [itex]f = \frac{c}{\lambda}[/itex].

What is the difference between [itex]c[/itex] and [itex]v[/itex] and when can the appropriate one be used? :confused:
 
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Er... one is for a particle or wave at any velocity v, while the other is when v=c (i.e. light in vacuum).

Zz.
 
Also, can [itex]c[/itex] also be used when we are considering other source of waves (e.g. electromagnetic spectrum)?
 
When I use the word "light", I do mean the EM wave, not just "visible light".

Zz.
 
Why do short wavelengths usually penetrate deeper then long wavelengths ?
(I know it has more energy, but I'm looking for more detailed explanation after reading the FAQ).
 
GT1 said:
Why do short wavelengths usually penetrate deeper then long wavelengths ?
(I know it has more energy, but I'm looking for more detailed explanation after reading the FAQ).
Said that way it's not true, in general: it depends on material, its surface conditions, and on the range of frequencies; in some cases it could be the opposite.
 
lightarrow said:
Said that way it's not true, in general: it depends on material, its surface conditions, and on the range of frequencies; in some cases it could be the opposite.

So if choose randomly 10000 materials only on 50% of the cases the short wavelengths will penetrate deeper ?
 
GT1 said:
So if choose randomly 10000 materials only on 50% of the cases the short wavelengths will penetrate deeper ?

Look at one of the most common material on hand - ordinary, transparent glass that you can buy at a store. It allows for the transmission of almost all visible light spectrum, but it doesn't allow UV to penetrate. And UV has a shorter wavelength than visible light.

Your question can't be answered because almost all materials have a finite bandwidth of absorption and/or transmission. This means that there isn't usually a "trend". While some wavelengths smaller than something may get transmitted, other that are smaller or longer may not.

Zz.
 

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