Why Do Bounded Mediums Have Specific Eigenfrequencies?

AI Thread Summary
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
Messages
4
Reaction score
0
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
 
Physics news on Phys.org
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).
 

Thread 'The Effect of Linear and Rotational Motion on Measured Weight'

Consider an extremely long and perfectly calibrated scale. A car with a mass of 1000 kg is placed on it, and the scale registers this weight accurately. Now, suppose the car begins to move, reaching very high speeds. Neglecting air resistance and rolling friction, if the car attains, for example, a velocity of 500 km/h, will the scale still indicate a weight corresponding to 1000 kg, or will the measured value decrease as a result of the motion? In a second scenario, imagine a person with a...
View full post »

Thread 'Coulomb gauge implies instantaneous radial electric field?'

Scalar and vector potentials in Coulomb gauge Assume Coulomb gauge so that $$\nabla \cdot \mathbf{A}=0.\tag{1}$$ The scalar potential ##\phi## is described by Poisson's equation $$\nabla^2 \phi = -\frac{\rho}{\varepsilon_0}\tag{2}$$ which has the instantaneous general solution given by $$\phi(\mathbf{r},t)=\frac{1}{4\pi\varepsilon_0}\int \frac{\rho(\mathbf{r}',t)}{|\mathbf{r}-\mathbf{r}'|}d^3r'.\tag{3}$$ In Coulomb gauge the vector potential ##\mathbf{A}## is given by...
View full post »
Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (First part)'

Thread 'Griffith, Electrodynamics, 4th Edition, Example 4.8. (First part)'

I am reading the Griffith, Electrodynamics book, 4th edition, Example 4.8 and stuck at some statements. It's little bit confused. > Example 4.8. Suppose the entire region below the plane ##z=0## in Fig. 4.28 is filled with uniform linear dielectric material of susceptibility ##\chi_e##. Calculate the force on a point charge ##q## situated a distance ##d## above the origin. Solution : The surface bound charge on the ##xy## plane is of opposite sign to ##q##, so the force will be...
View full post »

Similar threads

Why are we only considering the first eigenfrequencies?
Replies
1
Views
2K
B Discover the Reason Why Light Moves Slower in Water | Fermilab Video Explanation
Replies
11
Views
2K
Why do unsupported beams have eigenfrequencies?
Replies
1
Views
4K
B How Do Oscillations and Particles Interact in Electromagnetic Fields?
Replies
9
Views
1K
I Are Real Numbers Essential in Scientific Measurements and Models?
2
Replies
85
Views
8K
A Why does the free end refraction occur after Brewster's angle in TM?
Replies
3
Views
2K
I How Does Changing Mass and Spring Force Affect Watch Oscillators?
Replies
11
Views
2K
I Speed of light after exiting a transparent medium
Replies
17
Views
2K
I Dispersion: Why are Sine-like Functions Fundamental?
Replies
6
Views
1K
I Can the energy in two waves cancel out? If so, why?
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top