In stationary waves,all particles between two | vedclass

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(D) In a stationary wave,all particles between two consecutive nodes oscillate with the same frequency. Since they are in the same phase,they all reac

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At the same time with different velocities

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(D) In a stationary wave,all particles between two consecutive nodes oscillate with the same frequency. Since they are in the same phase,they all reach their mean position at the same time. However,the amplitude of vibration for each particle depends on its position $x$ relative to the nodes,given by $A(x) = A_0 \sin(kx)$. Since the velocity of a particle in simple harmonic motion is given by $v = \omega \sqrt{A^2 - y^2}$,at the mean position $(y = 0)$,the velocity is $v = \omega A$. Because the amplitude $A$ varies for different particles between the nodes,the maximum velocity at the mean position is different for each particle. Therefore,all particles pass through the mean position at the same time but with different velocities.

In stationary waves,all particles between two consecutive nodes pass through the mean position:

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