1d wave equation

29721 best questions for 1d wave equation

We've collected 29721 best questions in the «1d wave equation» category so you can quickly find the answer to your question!

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Those interested in the 1d wave equation category often ask the following questions:

☑️ What are the solutions of the 1d wave equation?

  • In other words, solutions of the 1D wave equation are sums of a right traveling function F and a left traveling function G. "Traveling" means that the shape of these individual arbitrary functions with respect to x stays constant, however the functions are translated left and right with time at the speed c.

☑️ Derive schrodinger wave equation?

That's really too complicated for a short answer, of a few paragraphs, here. YouTube has some introductory videos about the topic, for example, from a "Dr PhysicsA"; a search on YouTube for "Dr Physics Schrödinger Wave Equation" will let you find them.

☑️ De broglie wave equation?

De Broglie wave equation

  • The de Broglie equation is an equation used to describe the wave properties of matter, specifically, the wave nature of the electron:​. λ = h/mv, where λ is wavelength, h is Planck 's constant, m is the mass of a particle, moving at a velocity v.

☑️ What is the equation for the wave equation?

  • Let us consider a plane wave with real amplitude E0and propagating in direc- tion of the zaxis. This plane wave is represented by E(r,t) = E0cos[kz− ωt], where k = |k| = ω/c. If we observe this field at a fixed position z then we’ll measure an electric field E(t) that is oscillating with frequency f = ω/2π.

☑️ Is the wave equation a partial differential equation?

  • The wave equation is a partial differential equation. We discuss some of the tactics for solving such equations on the site Differential Equations. One of the most popular techniques, however, is this: choose a likely function, test to see if it is a solution and, if necessary, modify it. So, let's use what we already know.

Video from 1d wave equation

We’ve collected for you several video answers to questions from the «1d wave equation» category:

Video answer: The equation of a transverse wave propagating in a string is given by `y = 0.02 sin (x 30t)` w...

The equation of a transverse wave propagating in a string is given by `y = 0.02 sin (x 30t)` w...

Video answer: A transverse periodic wave on a string with a linear mass density

A transverse periodic wave on a string with a linear mass density

Video answer: Ap physics 1: waves 3: speed of transverse waves in a string

Ap physics 1: waves 3: speed of transverse waves in a string

Video answer: Waves 04 : speed of transverse wave on a string i wave velocity on a string i jee mains/neet

Waves 04 : speed of transverse wave on a string i wave velocity on a string i jee mains/neet

Top 29701 questions from 1d wave equation

We’ve collected for you 29701 similar questions from the «1d wave equation» category:

What does schrodinger wave equation mean?

  • It is an extremely powerful mathematical tool and the whole basis of wave mechanics. The Schrodinger equation is the name of the basic non-relativistic wave equation used in one version of quantum mechanics to describe the behaviour of a particle in a field of force.

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How to use the wave equation?

  • The above equation is known as the wave equation. It states the mathematical relationship between the speed (v) of a wave and its wavelength (λ) and frequency (f). Using the symbols v, λ, and f, the equation can be rewritten as v = f • λ

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What is the equation for wave?

  • The wave equation is a partial differential equation that may constrain some scalar function u = u (x 1, x 2, …, x n; t) of a time variable t and one or more spatial variables x 1, x 2, … x n.

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What is wave equation in physics?

  • wave equation. noun. Mathematics, Physics. any differential equation that describes the propagation of waves or other disturbances in a medium. Physics. any of the fundamental equations of quantum mechanics whose solutions are possible wave functions of a particle.

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What is de broglie wave equation?

In 1924, French scientist Louis de Broglie (1892–1987) derived an equation that described the wave nature of any particle. Particularly, the wavelength (λ) of any moving object is given by: λ=hmv. In this equation, h is Planck's constant, m is the mass of the particle in kg, and v is the velocity of the particle in m/s ...

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What is the schrodinger wave equation?

  • The Schrödinger equation, sometimes called the Schrödinger wave equation, is a partial differential equation. It uses the concept of energy conservation (Kinetic Energy + Potential Energy = Total Energy) to obtain information about the behavior of an electron bound to a nucleus.

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What is the wave speed equation?

Wave speed wavelength times frequency.

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What is j in wave equation?

In equation 1.12, ω is the angular frequency of the sine wave (ω = 2πf ) and j denotes imaginary number . Metaxas (1996) shows detailed derivation of the general Maxwell's equations to obtain the above two equations for time-harmonic fields.

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What is the basic wave equation?

The basic wave equation is a linear differential equation and so it will adhere to the superposition principle. This means that the net displacement caused by two or more waves is the sum of the displacements which would have been caused by each wave individually.

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What is one dimensional wave equation?

What is the general wave equation?

  • The general equation describing a wave is: y(x,t) = A sin(kx - wt) Let's say that for a particular wave on a string the equation is: y(x,t) = (0.9 cm) sin[(1.2 m -1)x - (5.0 s -1)t] (a) Determine the wave's amplitude, wavelength, and frequency. (b) Determine the speed of the wave.

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What is the general wave equation?

  • The general equation describing a wave is: y(x,t) = A sin(kx - wt) Let's say that for a particular wave on a string the equation is: y(x,t) = (0.9 cm) sin[(1.2 m -1)x - (5.0 s -1)t] (a) Determine the wave's amplitude, wavelength, and frequency. (b) Determine the speed of the wave.

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How to derive schrodinger wave equation?

  • One-dimensional Schrodinger equation As shown above, free particles with momentum p and energy E can be represented by wave function ψ p using the constant C as follows. ψ p (x, t) = C e x p [ i ħ (p x − E t)] From the superposition principle, the general wave function ψ is the sum of C a ψ a, C b ψ b, C c ψ c, ….

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Which equation best describes wave graphs?

What is the formula for wave equation?

  • wave equation. n. ( General Physics ) physics a partial differential equation describing wave motion. It has the form ∇ 2φ = (1/c 2) × (∂ 2φ/∂t 2), where ∇ 2 is the Laplace operator , t the time, c the speed of propagation, and φ is a function characterizing the displacement of the wave.

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What is y in wave equation?

The disturbance Function Y represents the disturbance in the medium in which the wave is travelling. And it is a function of x-position and t-time. The fxn Y says about the disturbance at position 'x' from refrence and time 't' . 'A' represents the maximum disturbance.

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What does schrodinger wave equation state?

Schrodinger equation provides relation between particles involved in the event, its energy and wave function (its derivatives).

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What is the universal wave equation?

v = f

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Who discovered the electron wave equation?

Assuming that matter (e.g., electrons) could be regarded as both particles and waves, in 1926 Erwin Schrödinger formulated a wave equation that accurately calculated the energy levels of electrons in atoms.

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How to calculate wave speed equation?

Wave speed is related to wavelength and wave frequency by the equation: Speed = Wavelength x Frequency. This equation can be used to calculate wave speed when wavelength and frequency are known.

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Is the wave packet solution of a wave equation?

  • Each component wave function, and hence the wave packet, are solutions of a wave equation. Depending on the wave equation, the wave packet's profile may remain constant (no dispersion, see figure) or it may change (dispersion) while propagating.

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How do you find a wave equation?

  1. To find the amplitude, wavelength, period, and frequency of a sinusoidal wave, write down the wave function in the form y(x,t)=Asin(kx−ωt+ϕ).
  2. The amplitude can be read straight from the equation and is equal to A.
  3. The period of the wave can be derived from the angular frequency (T=2πω).

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How do you write a wave equation?

  1. To find the amplitude, wavelength, period, and frequency of a sinusoidal wave, write down the wave function in the form y(x,t)=Asin(kx−ωt+ϕ).
  2. The amplitude can be read straight from the equation and is equal to A.
  3. The period of the wave can be derived from the angular frequency (T=2πω).

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What is the formula for wave equation?

  • wave equation. n. ( General Physics ) physics a partial differential equation describing wave motion. It has the form ∇ 2φ = (1/c 2) × (∂ 2φ/∂t 2), where ∇ 2 is the Laplace operator , t the time, c the speed of propagation, and φ is a function characterizing the displacement of the wave.

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How to calculate wave equation in physics?

  • Rearranging the equation yields a new equation of the form: Speed = Wavelength • Frequency. The above equation is known as the wave equation. It states the mathematical relationship between the speed (v) of a wave and its wavelength (λ) and frequency (f). Using the symbols v, λ, and f, the equation can be rewritten as. v = f • λ

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Where does the wave equation come from?

Waves on a String

We assume the amplitude of oscillation remains small enough that the string tension can be taken constant throughout. The wave equation is derived by applying F=ma to an infinitesimal length dx of string (see the diagram below).

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Which is the correct equation for wave?

A wave function is any function such that f(x,t)=f(x−vt). f ( x , t ) = f ( x − v t ) .

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What is the equation for wave frequency?

  • The formula for frequency, when given wavelength and the velocity of the wave, is written as: f = V / λ In this formula, f represents frequency, V represents the velocity of the wave, and λ represents the wavelength of the wave.

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What is the equation of sine wave?

  • In our math class, we are discussing about the trigonometric waves, specifically, the Sine Wave. The Sine wave is the graph that is formed if the function contains a sine function. The General Formula of the Sine wave is: y=AsinB(x-C)+D where x is the angle or theta.

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What is the wave equation of light?

  • Any wave, whether a smechanical wave or a light wave, will have a wavelength-frequency-speed relationship which follows the wave equation: v = f • λ where v represents the speed (or velocity) of the wave, f represents the frequency of the wave, and λ represents the wavelength of the wave.

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What is the period of wave equation?

  • The wave period is the time for two consecutive crests to pass a fixed point. The wave speed, C, can be calculated by dividing the wavelength by the wave period (C=L/T) since a wave travels one wave length each wave period.

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What does the schrodinger wave equation show?

The Schrödinger wave equation shows the interactions between particles and potential fields (i.e., electrons within atoms) by describing the behavior of such a system. Elaborating a little more, a particle is described by what is called a wavefunction. This wavefunction has a space (x,y,z) and time (t) dependency and is continuous, finite and single valued. Therefore the Schrödinger wave partial differential equation shows how the wavefunction of a system behaves over time.

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A dispersive wave equation using nonlocal elasticity?

  • A dispersive wave equation using nonlocal elasticity was proposed by Challamel, Rakotomanana, & Marrec, 2009.They developed a mixture theory of a local and nonlocal strain. Nonlocal scale effects on ultrasonic wave characteristic of nanorods were studied by Narendar and Gopalakrishnan (2010) using nonlocal Love rod theory.

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Schrodinger wave equation for hydrogen atom solution?

schrodinger wave equation for hydrogen atom solution

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What is the equation for wave velocity?

The wave moves with a constant velocity vw , where the particles of the medium oscillate about an equilibrium position. The constant velocity of a wave can be found by v=λT=ωk. v = λ T = ω k .

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A transverse wave on a string equation?

The type of wave that occurs in a string is called a transverse wave… The speed of a wave is proportional to the wavelength and indirectly proportional to the period of the wave: v=λT v = λ T . This equation can be simplified by using the relationship between frequency and period: v=λf v = λ f .

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How to calculate wavelength from wave equation?

Wavelength can be calculated using the following formula: wavelength = wave velocity/frequency. Wavelength usually is expressed in units of meters. The symbol for wavelength is the Greek lambda λ, so λ = v/f.

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What is the wave equation for light?

Like all other electromagnetic waves, it obeys the equation c = fλ, where c = 3 × 108 m/s is the speed of light in vacuum, f is the frequency of the electromagnetic waves, and λ is its wavelength. The range of visible wavelengths is approximately 380 to 760 nm.

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What is the de broglie wave equation?

To describe the de Broglie wave equation, we need to back up just a bit and look at something regarding fundamental particles. One of the curiosities of physics is the idea of wave-particle duality. When we inspect a fundamental particle, like the electron for example, we find that it can be looked at either as a particle or as a wave. A particle has mass, and it has both momentum and some amount of energy associated with it. Both momentum and energy are associated with matter. A wave, on the other hand, has both wavelength and frequency characteristic of that wave. Frequency and wavelength are associated with a wave. In wave-particle duality, the particle has to have a way its mass can be equated with the wave. And de Broglie stepped in to supply the equations that specify the relationship between the momentum and energy of a particle, and the frequency and wavelength of it's equivalent wave. Use the link below to check out the formula and learn more. These two equations are simple and easy, and it would be wise to look them over.

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What is the equation of a wave?

It states the mathematical relationship between the speed (v) of a wave and its wavelength (λ) and frequency (f). Using the symbols v, λ, and f, the equation can be rewritten as v = f • λ

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What is the equation of progressive wave?

The equation of a simple harmonic progressive wave is given by Y=asin2π(bt−cx). The maximum particle velocity will be twice the wave velocity if. A. c=πaB.

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How fast does a wave travel equation?

  • The speed of any electromagnetic waves in free spaceis the speed of lightc = 3*108 m/s. long as λf = c. When electromagnetic waves travel through a medium, the speed of the waves in the medium is v = c/n(λfree), where n(λfree) is the index

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What is a in equation of wave?

Rearranging the equation yields a new equation of the form: Speed = Wavelength • Frequency. The above equation is known as the wave equation. It states the mathematical relationship between the speed (v) of a wave and its wavelength (λ) and frequency (f).

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When was the electron wave equation written?

This is the Schrodinger equation from 1925-1926.

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What is a wave equation in physics?

  • wave equation. noun. Mathematics, Physics. any differential equation that describes the propagation of waves or other disturbances in a medium. Physics. any of the fundamental equations of quantum mechanics whose solutions are possible wave functions of a particle.

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Who developed the equation of wave mechanics?

Jean le Rond d'Alembert, Leonhard Euler, Daniel Bernoulli, Joseph-Louis Lagrange, and the quantum wave function: Erwin Schrödinger.

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What is the equation for wave speed?

wave speed= wave length * frequencyv=fa

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What is the equation for sound wave?

What equation is used to measure wave speed?

  • Summary Wave speed is the distance a wave travels in a given amount of time, such as the number of meters it travels per second. Wave speed is related to wavelength and wave frequency by the equation: Speed = Wavelength x Frequency… The equation for wave speed can be written to solve for wavelength or frequency if the speed and the other value are known. More items...

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What is the equation of am wave?

Power Calculations of AM Wave

Power of AM wave is equal to the sum of powers of carrier, upper sideband, and lower sideband frequency components. Where, vrms is the rms value of cos signal. vm is the peak value of cos signal.

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What is the equation of triangular wave?

That 1 Vrms triangle wave has a peak voltage of √3 V (≈1.732 V), and a peak-to-peak voltage of 2√3 V (≈3.464 V). Since finding a full derivation of the formulas for root-mean-square (Vrms) voltage is difficult, it is done here for you.

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What is the equation for wave motion?

  • wave equation. n. ( General Physics ) physics a partial differential equation describing wave motion. It has the form ∇ 2φ = (1/c 2) × (∂ 2φ/∂t 2), where ∇ 2 is the Laplace operator , t the time, c the speed of propagation, and φ is a function characterizing the displacement of the wave.

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Where does the wave equation and wave speed come from?

  • The wave equation and wave speed - Physclips waves and sound Travelling waves and the wave equation. Where it comes from, how to solve, speed of a wave. The wave equation and wave speed. This is a support page to the multimedia chapter Travelling Waves II in the volume Waves and Sound. It gives background information and further details.

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