In a standing wave on a string :- | vedclass

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Question

(A) In a standing wave, the displacement of a particle at position $x$ is given by $y(x, t) = 2A \sin(kx) \cos(\omega t)$.All particles pass through t

Vedclass · Accepted Answer

In one time period all the particles are simultaneously at rest once.

Vedclass · Answer

(A) In a standing wave, the displacement of a particle at position $x$ is given by $y(x, t) = 2A \sin(kx) \cos(\omega t)$.All particles pass through their mean position simultaneously at $t = \frac{T}{4}, \frac{3T}{4}, ...$ and are at rest at their extreme positions simultaneously at $t = 0, \frac{T}{2}, T, ...$.Thus, all particles are at rest simultaneously twice in one time period.However, particles in adjacent loops are in opposite phases. If particles in the first loop $(0 Therefore, all particles can never be at their positive extremes simultaneously.

In a standing wave on a string $:-$

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