Why Do Bounded Mediums Have Specific Eigenfrequencies?

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Discussion Overview

The discussion revolves around the reasons why bounded mediums exhibit specific eigenfrequencies, exploring the underlying mechanisms and assumptions related to oscillations in such systems. The scope includes theoretical explanations and conceptual clarifications regarding oscillatory behavior in physics.

Discussion Character

  • Exploratory, Conceptual clarification

Main Points Raised

  • One participant notes that bounded mediums oscillate at particular frequencies, seeking a proper explanation for this phenomenon.
  • Another participant suggests that performing a Fourier transformation on any oscillation reveals a set of resonance frequencies, indicating a mathematical basis for the observed behavior.
  • A further contribution proposes that the oscillations may arise from the thermal energy of the particles constituting the medium, although this remains speculative.
  • It is clarified that oscillations do not occur spontaneously; rather, they are induced when the medium is excited in some manner.

Areas of Agreement / Disagreement

Participants express varying degrees of understanding regarding the nature of oscillations in bounded mediums, with some confusion noted about the term "oscillates." There is no consensus on the specific mechanisms or definitions involved.

Contextual Notes

There is an indication of missing assumptions regarding the conditions under which oscillations occur, particularly the role of excitation and the definition of oscillation in this context.

saumya yadav
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in waves and oscillations i read that any bounded medium oscillates in a particular freuency...why is it so?i need a proper reason for this
 
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Please post your questions in new threads, not in existing threads about other topics. I splitted the thread.

Two arguments:
- you can perform a Fourier transformation on any oscillation, and you get a set of some resonance frequencies.
- every oscillation returns to its initial state eventually (not exactly true, but good enough here). Afterwards, it just repeats again and again, if you neglect damping.
 
what gives rise to these oscillations?thermal energy of constituting particles...?I guess.
 
saumya yadav said:
what gives rise to these oscillations?thermal energy of constituting particles...?I guess.
This may indicate that there is some confusion regarding the meaning of
"any bounded medium oscillates in a particular frequency"

"Oscillates" here does not mean that it spontaneously oscillates.
If you "excite" the medium somehow, this will induce oscillations (or waves).
 

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