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What is equal width wave equation?
The equal width wave equation is a mathematical model used to describe the propagation of shallow water waves or wave-like phenomena in a medium where the wave profile maintains a constant shape as it travels. It is often expressed in the form of a partial differential equation that captures the evolution of wave height over time and space. This equation is particularly useful in fluid dynamics and nonlinear wave studies, as it allows for the analysis of solitons and other waveforms that do not change shape as they move.
How velocity of light is calculated?
The speed of light can be both calculated and measured. Light waves are formed by mutually interacting orthogonal electric and magnetic fields. Using properties of these electric and magnetic fields, you can arrange the equations of physics into a partial differential equation, called the "wave equation". This equation contains a constant in it, which is the wave-speed of light. It's value is found from other physical constants, and is about 3 106 km/sec. This value was measured in a vacuum and found to be within excellent agreement. James Clerk Maxwell first theoretically found the speed of light from what is now called the Maxwell equations.
Who is the creator of the wave equation?
Erwin Sherdinger
What is the equation for frequency wave speed and wave lenght?
Wavespeed = frequency x wavelength
What is the limitations of schrodinger wave equation?
The biggest limitation by far is that an exact solution is possible for only a small number of initial conditions. For example, one can figure out the solution for permitted states of one electron around a nucleus. However, there is no exact solution for even two electrons around a nucleus.
How do you show that a wave function is a solution to the time- independent Schrodinger equation for a simple harmonic oscillator?
To show that a wave function is a solution to the time-independent Schrödinger equation for a simple harmonic oscillator, you substitute the wave function into the Schrödinger equation and simplify. This will involve applying the Hamiltonian operator to the wave function and confirming that it equals a constant times the wave function.
What is the solution to the electromagnetic wave equation?
The solution to the electromagnetic wave equation is a wave function that describes the behavior of electromagnetic waves, such as light. This wave function includes both electric and magnetic fields that oscillate perpendicular to each other and to the direction of wave propagation.
What did Schrdinger's solution to the wave equation, which agreed with the Rydberg constant, prove?
Schrdinger's solution to the wave equation, which agreed with the Rydberg constant, proved that electrons in atoms have wave-like properties and their behavior can be described using quantum mechanics.
What is the meaning of Biot-Savar's equation?
1) What is the definition of dielectric permittivity on the basis of Maxwell equations? 2) What is Poisson equation of Electrostatics? Derive the Poisson equation from Maxwell equations. 3) Write the Biot-Savar equation. What is the meaning? 4) Derive a wave equation of a plain electromagnetic wave from Maxwell equation.
How does Maxwell found that electromagnetic radiations travel with the speed of light?
Light is a form electromagnetic radiation. Maxwell predicted the speed of an EM wave, and it was found to be identical to that of light.It arose in the form of constants in the wave equation that falls out of Maxwell's four equations that summarize the relationships among electrodynamic and magnetic fields.
How do you find the phase angle in a wave equation?
The phase angle in a wave equation can be found by comparing the equation to a standard form, such as (y = A \sin(\omega t + \phi)), where (\phi) is the phase angle. This angle represents the horizontal shift of the wave relative to a standard sine curve. You can determine the phase angle by comparing the equation to the standard form and identifying the value that corresponds to the horizontal shift in the wave.
How to find the equation of a sine wave?
To find the equation of a sine wave, you need to know the amplitude, period, and phase shift of the wave. The general form of a sine wave equation is y Asin(B(x - C)), where A is the amplitude, B is the frequency (related to the period), and C is the phase shift. By identifying these values from the given information or graph, you can write the equation of the sine wave.
How can you derive wave function?
The wave function in quantum mechanics is derived by solving the Schrödinger equation for a given physical system. The Schrödinger equation describes how the wave function evolves in time, and its solution provides information about the quantum state of the system. Different boundary conditions and potentials will lead to different wave functions.
How James Maxwell developed the theory that light wave is a form of electromagnetic wave?
James Maxwell developed the theory that light is an electromagnetic wave by combining the equations of electricity and magnetism, known as Maxwell's equations. He predicted that electromagnetic waves could travel through space at the speed of light and demonstrated that their properties matched those of light waves. His theory provided a unified description of electromagnetism and laid the foundation for modern physics.
What is meant by modes in optical fiber?
An optical modes refer to a specific solution of the Wave Equation which satiates the boundary conditions.
What is the difference between the standing wave equation and the traveling wave equation?
The standing wave equation describes a wave that appears to be stationary, with points of no motion called nodes. The traveling wave equation describes a wave that moves through a medium, transferring energy from one point to another.
What is the transverse wave velocity equation?
The equation for the velocity of a transverse wave is v f , where v is the velocity of the wave, f is the frequency of the wave, and is the wavelength of the wave.
