The discussion clarifies the concept of phase in standing waves, specifically addressing the statement that "all particles are in the same phase." It establishes that within a loop of a standing wave, all points are in phase with each other but are in antiphase with points in adjacent loops. The phase is defined by the equation ϕ = 2(pi)x/λ, where the time-dependent factor sin(ωt) remains constant across the loop, while the spatial factor sin(kx) varies with position. The distinction between phases in progressive and standing waves is also highlighted, emphasizing that in standing waves, all points between nodes reach their maximum simultaneously, resulting in zero phase difference.
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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
sin(\omega t)sin(kx)
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?