Why Do Bounded Mediums Have Specific Eigenfrequencies?

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Bounded media oscillate at specific frequencies due to the nature of their physical properties and the constraints imposed on them. Performing a Fourier transformation reveals a set of resonance frequencies that characterize these oscillations. These oscillations occur when the medium is excited, leading to a return to an initial state and subsequent repetition of the motion. The underlying cause of these oscillations can be linked to the thermal energy of the particles within the medium. Understanding this concept clarifies the distinction between spontaneous and induced oscillations in bounded systems.
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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