Questions tagged [resonance]

Resonance is a characteristic of physical systems having a structure that allows energy to flow between various states at a specific, oscillatory rate (resonant frequency). For a stable resonant system at steady state the internal energy is either fixed without losses or the rate of energy input is equal to the energy losses.

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How is the relationship between the end correction and the pipe diameter related to acoustic impedance?

I know that Levine and Schwinger calculated the exact value of the end correction by doing something with the acoustic impedance but I don't understand their calculations. I've looked at paisanco's ...
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How does an inverted cup make music in the bathroom?

A partially filled inverted cup immersed in a bucketful of water makes musical notes, when you turn on the tap and let the water fall continuously into the bucket. Whereas no music is made if you ...
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Why is the amplitude of a forced vibration lower above resonance than below? [duplicate]

Am I correct in thinking that for a given harmonic oscillator, with constant magnitude driving force, the resultant amplitude of the steady-state motion will be generally lower above resonance than ...
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381 views

Amplitude of oscillations in non-resonant forced vibrations

I am somewhat confused about the amplitude of forced vibrations at non-resonance driving frequencies. If I was to assume that there was no / negligible damping present, then at resonance, the ...
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432 views

Progressive and regressive wave combination to get the most general form of one dimensional standing wave

Te most general form of a (one dimension) standing wave is $$(A \mathrm{cos}(\omega t)+B \mathrm{sin}(\omega t))(C \mathrm{cos}(k x)+D \mathrm{sin}(k x))=G\mathrm{cos}(\omega t+\phi_1)\mathrm{cos}(kz+\...
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What degenerates mode in a fiber have in common? Do they have the same eigenvalues?

According to the definition degenerates modes in a optical fiber "have the same propagation constants". These modes can be combined to from the linearly polarized modes. This "constant" should be the ...
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Can there be resonance in electromagnetic waves?

So, resonance is created in sound waves when a body is made to vibrate by an external force at its natural frequency, the result is a build-up amplitude and higher intensity of sound. Similarly can we ...
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343 views

Window choice in single mode or multi mode optical fiber

Single mode fibers are typically used in third window, while multi mode fibers are used in first and second window, as in picture. Is there a correlation between the number of modes in the fiber and ...
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Boundary condition on $\mathbf{B}$ to describe resonant cavities from waveguides

In Jackson- Classical Electrodynamics when resonant cavities are discussed (8.6, page 252) (but also at page 7 here or at page 19 here) the explanation is made by saying that the solution is the same ...
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Standing waves in antenna: why is the current wave symmetric with respect to the centre?

In trasmitting antennas the current is described with a standing wave (in resonant configuration). Since the current must be zero at both ends of the antenna (it could not be otherwise) the mechanical ...
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Natural and Resonance frequencies of a damped oscillator

The damped oscillator equation is \begin{equation} m\ddot{x}+b\dot{x}+kx=0 \end{equation} And its solution has natural frequency $\omega_0$ \begin{equation} \omega_0=\sqrt{\frac{k}{m}-(\frac{b}{2m})...
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Factors which make Tuning fork sound loud and hold for longer duration

I want to demonstrate some activities related to sound and tuning fork among kids. I have a couple of these including C256Hz, C 380 Hz etc. When I put these on a wooden resonance box the sound ...
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Meaning of complex oscillation equation

I have the problem of a dampened harmonic oscillation (more concrete a "Pohl wheel" (here is an illustration of it)) whose motion is given by the following differential equation $$J\frac{d^2 \alpha}{d ...
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Driven oscillator solution intuition

For the sinusoidally driven oscillator given by: $$m\ddot{x} + b \dot{x} + kx = F_0 \cos(\omega t)$$ or $$\ddot{x} + 2\beta \dot{x} + \omega_0^2x = A \cos(\omega t)$$ The particular solution is: $...
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Why do scattered waves vanish when the wavenumber of the incident wave is an eigenvalue of the interior Dirichlet problem. Where has the energy gone?

I normally work with numerical computations for wave scattering, but I am now trying get a better understanding of the physical processes underlying the theory, in particular what happens to the ...
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Standing spherical wave solution

Let's say we have a spherically symmetric light wave $u(r,t,\theta,\phi)= u(r,t)$ that satisfies the following wave equation with spherically symmetric potential $V(r)=2/r^2$ (also set $c= 1$ so $\...
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Resonance condition in transmission line

In this document, a transmission line terminated at both ends with purely reactive loads is considered as an example for the Transverse Resonance Method. In order for this circuit to be resonant, ...
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Does an air column require an antinode at an end to produce a sound?

I have a general understanding of how everything works. I understand standing waves, and the difference between open- and closed-ended tubes. I understand that for closed-ended tubes, the tube must ...
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Meaning of “phase delay” in forced oscillations [duplicate]

I'm currently reading about forced oscillations, and in the book (A course in Classical Physics by Alessandro Bettini) I'm using, they start with the equation $$\frac{d^2x}{dt^2} + \gamma\frac{dx}{dt}...
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Real-Life RLC circuit - why so lopsided?

I am using a superconducting $RLC$-circuit for detecting weak electrical signals. The center-frequency is around 650 kHz, and the $Q$-value approximately 50k. I am trying to better understand my ...
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308 views

Acoustic resonance frequency of a cylinder with elastic walls under tension

I have to find the parameterized resonant frequency of this cylinder whose walls are elastic and have a tension T. The question asks to make any assumptions as necessary. I am not sure how to proceed. ...
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Can magnetic resonant inductive coupling work in magnetic resonance (specifically in NMR and MRI)?

Radiofrequencies are usually used to flip polarized nuclei in a magnetic field in NMR and MRI. These RF correspond to the Larmor frequency of those nuclei. Since the effect from the RF is usually due ...
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Why is a single string's vibration very weak but on the other hand, a guitar's string can be very loud?

A vibration on a string can theoretically be examined by the back and forth moving sound waves. The two reflecting boundary conditions capture some part of the vibration energy in the region which ...
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Can we split an atom using sound waves?

A glass breaks when a sound wave matches the frequency produced by glass when it vibrates. Can we use this phenomenon of resonance to split an atom?
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Conditions for forming a stationary wave?

Does it only require two waves of the same frequency / wavelength travelling in opposite directions? My teacher says that one wave needs to be reflected and then superimpose with this reflection for a ...
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We can have resonance with a fluid-gas system. Can we have resonance with a solid fluid system?

A gas bubble in a liquid, such as a simple air bubble in water can resonate when it is excited with an acoustic wave at the bubbles natural resonant frequency. So we have resonance effects in fluid-...
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Current at steady state through inductor

In the following circuit , the AC source is an ideal voltage source$(V\sin \omega t)$ . I/ my book it is written that the amplitude of steady state current through the inductor at resonance is $V\sqrt{...
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Sound due to guitar [closed]

My teacher told me that quality of sound depends on shape and size of guitar and its resonator. How does quality depend on that?
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301 views

What is the waveform for a Rubens' tube driven slightly off-resonance?

This video has a nice description of resonance inside a Rubens' tube, and it has some pretty nice visuals of the tube being driven at the precise resonance, as well as just above resonance: I rather ...
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Relationship between volume of water and resonant frequency

I am currently researching the relationship between the volume of water in an object, and the frequency at which resonance occurs. I have conducted an experiment in which I added volumes of water, ...
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How do you find length of organ pipe from successive harmonics?

If we had a pipe which could play two successive harmonics 240Hz and 280Hz, how long would it have to be? Open ended or closed ended? I know that $f_n=nf_1$ for open end and $f_n=nf_1 $for n is odd ...
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Resonance of van driving over speed bumps

An old van with an undamped suspension system drives over three speed bumps 10m apart at a speed of $2.5\text{m/s}$. The front of the van begins to resonate. State the natural frequency of the ...
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Closed Organ Pipe and heating it

My text wrote that: in a closed organ pipe as the temperature is increased then the number of beats may increase or decrease. But I think that number of beats should increase only why would that ...
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Phase Locking in Parallel RLC at Resonance Frequency

I understand the mathematics of RLC circuits at resonance frequency, but I am having some difficulty in coming to an intuitive grasp of the physics behind it. When the reactances of the inductor and ...
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365 views

Is the polar nature of water a factor in its resonance with microwaves?

This schoolphysics webpage discusses some information regarding the heating of water using microwaves, and according to that page a common misconception that "Microwave ovens operate at a ...
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Resonance, intutive explanation [duplicate]

In the case of forced, undamped oscillations, why is the amplitiude of the steady state oscillations bigger, when the frequency of the driving force gets closer to the natuaral frequency of the ...
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720 views

Breit-Wigner curve derivation of energy dependence?

The Breit-Wigner cross section for resonant particle decay takes the form: $$\sigma_{fi}=\frac{\pi\hbar^2}{q^2} \frac{2j+1}{(2S_1+1)(2S_2+1)} \frac{\Gamma_i \Gamma_f}{(E-Mc^2)^2+\Gamma^2/4}$$ I am ...
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Why do bound states increase cross sections?

I know that resonances in particle physics are the creation of metastable bound states (i.e. particles). I also know that near such a resonance the decay width can be described by a Breit-Wigner curve....
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Resonance of a pipe closed back on itself

Would the math formula for resonant air columns open at both ends apply to a hollow tube shaped like a donut? No ends are closed because there are no ends. Would it be considered an infinitely long ...
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73 views

Length of Tubing to Cents/Semitones

Is there a formula for calculating the length of tubing needed to produce a note on an instrument (for those fairly well versed in brass instruments - and possibly others, but I don't know much about ...
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154 views

Simple harmonic resonance

I understand that the driver force will be in phase with the driven velocity at resonance. However, what will happen if I use the same force with the same frequency(resonance frequency) but applied it ...
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What does “relatively uniform resonant frequency” mean?

In the book What If? from Randall Munroe, the author writes: Q: Assuming a relatively uniform resonant frequency in a passenger jet, how many cats, meowing at what resonant frequency of said jet, ...
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Resonance in an LCR circuit

What's the significance of resonance in an LCR circuit? My book says something like this "Every system has a tendency to oscillate at a particular frequency. This frequency is known as the system'...
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How to mathematically prove that a linear system's vibration frequency is equal to frequency of the harmonic external force?

I was reading about "Vibration" on Wikipedia: Forced vibration: 'for linear systems, the frequency of the steady-state vibration response resulting from the application of a periodic, harmonic ...
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654 views

Breit-Wigner Peak - Not quite a Lorentzian?

The non-relativistic Breit-Wigner peak is given by: $$\sigma_{fi}=\frac{\pi\hbar^2}{q^2} \frac{2j+1}{(2S_1+1)(2S_2+1)} \frac{\Gamma_i \Gamma_f}{(E-Mc^2)^2+\Gamma^2/4}$$ where $q$ is the center of mass ...
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Standing waves in a phone pole [closed]

Consider a telephone pole having standing waves generated in its length by prevailing winds. If the length of the pole above the ground is 25m and the speed of sound through the pole is 75m/s what is ...
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Another way to define resonance?

Considering descriptive (and not necessarily applied) physics, would it be proper to define resonance as: "One of the fundamental means of storing energy" ? Of course there are other ways to store ...
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How does the viscosity of the liquid in a wine glass affect its resonance?

I believe the title is self explanatory. How does it affect for instance the resonant frequency of the wine glass?
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overstability vs resonance: what is the difference?

Reading about discs, I encountered the word 'overstability' that its difference with resonance is not clear to me. Does anyone know the difference?
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Why dosn't amplitude increase when drive frequency is above resonance?

Why doesn't amplitude increase when the frequency of external periodic force increases above the natural frequency of the vibrating object?

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