Abdul Quadeer said:What is the exact meaning of the statement " In a standing wave, all the particles are in the same phase "?
Phase, ϕ = 2(pi)x/λ
If we consider the node as origin, different particles have different x values.
Then how come the phase is same for all?
K^2 said:They likely mean the time-dependent factor, since the displacement in the standing wave is given by
[tex]sin(\omega t)sin(kx)[/tex]
The phase of the second factor depends on position, but the phase of the first factor does not.
Every point in a loop(between adjacent nodes) is in phase with every other point in that loop and in antiphase with points in adjacent loops.
Abdul Quadeer said:What is the difference between the two phases?
Please explain what's wrong in the formula I gave?
A stationary wave, also known as a standing wave, is a type of wave that occurs when two waves with the same amplitude and frequency travel in opposite directions and interfere with each other. This results in points along the wave that appear to be standing still, while other points continue to oscillate.
The phase of a stationary wave refers to the position of a point on the wave in relation to its equilibrium position. It is typically measured in degrees or radians and is used to describe how much the wave has shifted from its starting point.
The phase of a stationary wave is not directly related to its amplitude. However, the amplitude of a stationary wave can change depending on the phase difference between the two interfering waves. When the phase difference is 0 or a multiple of 2π, the amplitude is at its maximum. When the phase difference is a multiple of π, the amplitude is at its minimum.
The phase of a stationary wave is important because it determines the interference pattern and the resulting amplitude of the wave. It also helps to describe the motion of individual particles within the wave and how they contribute to the overall wave pattern.
The phase of a stationary wave can be measured using a phase angle meter or by analyzing the displacement of particles in the wave. It can also be calculated using the wave equation and the known frequency and wavelength of the wave.