In a stationary wave, all the particles

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(A) In a stationary wave, the equation of the wave is given by $y = 2A \sin(kx) \cos(\omega t)$.Here, the term $2A \sin(kx)$ represents the amplitude

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except at nodes vibrate in $S$.$H$.$M$. of same period but of different amplitudes

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(A) In a stationary wave, the equation of the wave is given by $y = 2A \sin(kx) \cos(\omega t)$.Here, the term $2A \sin(kx)$ represents the amplitude of the particle at position $x$.Since the amplitude depends on the position $x$, different particles have different amplitudes.At nodes, $\sin(kx) = 0$, so the amplitude is zero, meaning particles at nodes are stationary.All particles (except at nodes) vibrate in Simple Harmonic Motion $(S.H.M.)$ with the same angular frequency $\omega$ (and thus the same period $T = 2\pi/\omega$), but with amplitudes that vary depending on their position $x$.

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