Standing waves Definition and 249 Threads

I understand the equations for the nth harmonic and so on, but I really don't get how a standing wave is formed. My physics teacher said that an incident wave and an identical reflected wave interfering would cause a stationary wave, but I still don't understand how this happens. For example...

1)What is the difference between standing waves,beats and normal interference of any 2 waves ? 2)Is beats in sound waves same as interference in light waves ? 3)Why do we represent particle displacement with y and wave motion with x in longitudnal waves in which both particle and wave motion...

Homework Statement Please see the picture. Homework Equations How do they get this derivation? The Attempt at a Solution I know that lambda = 2L/n and f = nV/2L so I can somewhat rearrange it myself, but I do not know where the square root is coming from.

Do all frequencies produce standing waves or just the harmonics? My physics textbook stated that standing waves are form when two wave trains with equal amplitude and frequency meet each other in opposite directions. Does the common frequency of the wave trains have to be one of the harmonics...

my question is that why electrons revolve in a covalent bonded atom where the force of attraction of the other atom to which electron is shared when put forces of attraction on it.it means that they then should stuck at single point rather than revolving in the atom,my another question related...

Homework Statement Consider a situation in which a wave is traveling in the negative x-direction encounters a barrier and is reflected. Assume an ideal situation in which none of the energy is lost on reflection nor absorbed by the transmitting medium. This permits us to write both waves with...

Homework Statement A string of length 1.5m with its two ends clamped is vibrating in fundamental mode. Amplitude at the center of the string is 4mm. Find the distance between the points who have amplitude 2mm. Homework Equations y=Asinkxcoswt λ=2*L The Attempt at a Solution First of...

Equation of standing waves→ y=Asinkxcosωt What do i get if i differentiate the above equation with respect to "x" ? Do i get the rate of change of amplitude when i put t=0?

Homework Statement How to find the fundamental frequency of standing longitudinal waves?Are they similar to standing transverse waves? Homework Equations none The Attempt at a Solution I know pretty much about standing transverse waves in strings. But i am confused about standing...

Homework Statement A 160 g rope 4m long is fixed at one end and tied to a light string of same length to other end.Its tension is 400N. What is the wave length of first overtone? Homework Equations λ=v/f v=√(T/μ) μ=mass per unit length T=tension f=frequency The Attempt at a Solution...

Homework Statement Hello everyone, I am stuck with a basic concept.How do we can recognize if a given equation is wave or not?For example we know that the standing waves equation is y=2Acos(kx)sin(ωt). In my textbook there is a problem which says that two waves having only different amplitudes...

Homework Statement Consider a resonant tunneling diode structure (attached image). This shows 2 AIAs barriers of height 1.2 eV and width t = 2.4 nm, enclosing a well of width L = 4.4 nm. If the effective mass of the electron is taken as 0.9 times the free electron mass how many separate...

Homework Statement A string with a fixed frequency vibrator at one end forms a standing wave with 4 antinodes when under tension T1. When the tension is slowly increased, the standing wave disappears until tension T2 is reached with no resonances occurring between the two tensions. How many...

I don't completely understand how equation 4.4.4 was derived and determined. I understand the derivation behind the basic wave equation 4.3.4 but not what happened in 4.4.4. Why is there a need for all the negative signs ? Would a simple phase change suffice ? Please do be a bit detailed in...

If electron waves weren't standing waves in Bohr's circular orbit, why and how would the waves interfere ?

The figure shows an aluminum wire of length L 1 = 60.0 cm, cross-sectional area 1.00 x 10-2 cm2, and density 2600 kg/m3, joined to a steel wire of density 7.80 g/cm3 and the same cross-sectional area. The compound wire, loaded with a block of mass 10.0 kg, is arranged so that the distance L...

Homework Statement The 4th node of a standing wave occurs at a position of 4.10 meters. Where is the 2nd antinode? Homework Equations nodes occur at: x=n*(λ/2) antinodes: x=(n+.5)*(λ/2) The Attempt at a Solution n=4?? 4.1m=2λ→λ=2.05m now n=2? x=(2+.5)*(λ/2)≈2.56m wrong! x=1.54m

I'm working on my physics lab and I'm confused by the equation that they provide. μ=\frac { 1 }{ { (2Lslope) }^{ 2 } } What exactly does slope represent here? Also, what is the typical linear mass density of a string? I'm getting 0.673 grams per meter. Is this right? Edit: Never mind about...

Hi, I am working on my notes dealing with standing waves and I was wondering would a graph of the equaion y(x,t)= 2Acos(ωt)sin(kx) just a regular wave? Also I was wondering why are standing waves called standing waves. I am sorry if this is the wrong forum.

A small loudspeaker connected to a signal generator emits a sound of frequency 425 Hz. It is fixed above a long glass tube that is filled with water and has a drain at the bottom so that the water can be slowly released from it. When the level has fallen 20cm from the top of the tube, a standing...

Homework Statement A string 40.0cm long of mass 8.50g is fixed at both ends and is under a tension of 425N. When the string is vibrating in its third overtone, you observe that it causes a nearby pipe, open at both ends, to resonate in its third harmonic. The speed of sound is 344m/s. a) How...

Homework Statement Two optically flat glass plates, 16.0 cm long, are in contact at one end and separated by 0.0200 mm at the other end. The space between the plates is occupied by oil with index of refraction 1.45. The index of refraction of the glass plates is 1.55. The plates are...

My (probably misguided) intuition says the following : 'Take a closed loop of wire and bend it into any arbitrary shape so that it lies flat on a table. stretch a membrane over it (i.e. a soap membrane say). Then, I should be able to vibrate it at just the right frequency to generate (at least)...

Hi, I'm hoping somebody can help me understand something. I'm studying transmission lines and I'm confused about SWR and standing waves on a transmission line. According to my book the voltage on the transmision line is the super position of an incident and reflected voltage wave given by...

Are particles considered to be standing waves? Or only in certain situations such as an electron in its atomic/molecular orbital?

Hi I'm not too sure where to post this but since I am, after all, doing a project under the EE department, I thought this might be the best place. I'm new to acoustics, so what I know is rather minimum. I'm trying to look for ultrasonic transducers that can manipulate objects...

Homework Statement During the experiment you will be collecting data similar to that in the table below. The experimental set up is the same as that described in your lab manual. Complete this table. Assume that the frequency is 50 Hz, and is known accurately. this is the data given. 1...

Suppose I have a rigid circular metal plate that takes sound X microseconds to cross. What frequency would I have to vibrate that plate to get standing waves that form seven concentric circles? The obvious answer is 14X but I'm not sure. BTW, this is not homework.

I always hear a difference between transverse and longitudinal waves, and, standing and traveling waves, but for me, transverse and standing waves looks very similar; and i can't seem to find out what is the difference. Both has nodes and antinodes, thus the change in amplitude as you go...

What is the wavelength of the interfering waves? Homework Statement Standing waves are produced in a string by sources at each end with a frequency of 10.0 Hz. The distance between the third node and the sixth node is 54 cm. a) What is the wavelength of the interfering waves? b) What is...

what does determine the harmonic number in standing waves?

hi could somebody explain to me how organ pipes work? so far, i figured out that there are standing waves in an organ pipe, that are determined by the length and the question of whether there is a closed or open end. but what determines the intensity between these possible frequences(e.g...

Please Help! Whenever i read standing waves, the interference patten can be seen as attached pictures. I want to know how this pictures can be taken? How lights can be interfered?

In Lewis Epstein’s book Thinking Physics, he says that, since an electron behaves as a standing wave around the nucleus (exhibiting no known position changes, and thus no acceleration and no emission of radiation), something has to push part of the wave into a lower orbit to get the radiation...

Homework Statement Why it is the antinode at the open end? Homework Equations The Attempt at a Solution

[b]1. A banjo string 36.0 cm long oscillates in a standing wave pattern. It resonates in its fundamental mode at a frequency of 250 Hz. What is the tension in the string if 80.0 cm of the string has a mass of 0.75 grams? Homework Equations k=2pi/lamda velocity=sqrt(F_tension/miu)...

•• Working for a small gold mining company, you stumble across an abandoned mine shaft that, because of decaying wood shoring, looks too dangerous to explore in person. To measure its depth, you employ an audio oscillator of variable frequency. You determine that successive resonances are...

Hi, Question: Describe how you would arrange for a string that is et under tension, with both ends fixed, to vibrate in its second harmonic mode. Ok, the string has a speed, v, and wavelength, w, which give it a fundamental frequency, f. If we want the second harmonic, we have to change...

Hello, was wondering a couple of details on the wave nature of electrons and the state of the art in this field. In particular: Is it practical and possible (easily) to create a cm sized electron interference pattern (fringes are in the cm size magnitude). I have so far seen Low Energy...

Homework Statement A standing wave has been created on a string of length 1.5m. The frequency of the wave is 25Hz. The ends of the string are nodal points and there are 3 antinodes. A)What is the wavelength of the standing wave? B)If the maximum amplitude of the wave is 5cm, write complete...

Is the second harmonic produced by middle c on the organ the same as the C note in the following octave? just a little confusion

Homework Statement A person hums into the top of a well and finds that standing waves are established at frequencies of 42, 70 and 98 Hz. The frequency of 42 Hz is not necessarily the fundamental frequency. The speed of sound is 343m/s. How deep is the well? Homework Equations just harmonic...

ok so i have a major confusion and its really getting to me. So from what i understand of harmonics, the length of the medium is always fixed and only the frequency changes. Is this right? Then why, on organ pipes for example.Assume open open configuration. Say I play a middle tone note C...

A violinist places her finger so that the vibrating section of a 1.0g/m string has a length of 30cm, then she draws her bow across it. A listener nearby in a 20 degrees celcius room (speed of sound at this temperature in air is 343 m/s) hears a note with a wavelength of 40 cm. What is the...

1.) A string, stretched between two fixed posts, forms standing-wave resonances at 325Hz and 390Hz. What is the largest possible value of its fundamental frequency? I have no idea on how to solve this problem, any assistance would be greatly appreciated.

Hello Forum, it is well know that the sum of two identical sinusoidal waves propagating in opposite direction, with zero relative phase, create a standing wave: Phi1(x,t)=sin(kx+wt+theta1) Phi2(x,t)=sin(kx-wt+theta2) with theta1=theta2, w1=w2 (same angular frequency)...

1. I am a mathematician trying to understand a physics experiment where an aluminum rod is held in the middle and struck with a mallet. The rod is then placed next to a microphone, the sound recorded and the frequency determined using Audacity. Working backwards, one determines the speed of...

Homework Statement In the arrangement shown in the figure, a mass can be hung from a string (with a linear mass density of μ=0.00182 kg/m) that passes over a light pulley. The string is connected to a vibrator (of constant frequency f), and the length of the string between point P and the...

Standing waves... Homework Statement If two waves differ only in amplitude and are propagated in opposite directions through a medium, will they produce standing waves. Is energy transported? Homework Equations The Attempt at a Solution About the first part i think they do...

Hello All, I have been trying to solve the following exercise but I can't get my head around it: Two loudspeakers are 24m apart and they produce sound at a frequency of 1000Hz, assume speed of sound is 330m/s, what is the distance between each node? I don't undertand it, should I imagine...