Give the values of the amplitude at a node an | vedclass

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(A) In a stationary wave formed by the superposition of two identical waves traveling in opposite directions,the displacement is given by $y = 2A \sin

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Node: $0$,Anti-node: $2A$

Vedclass · Answer

(A) In a stationary wave formed by the superposition of two identical waves traveling in opposite directions,the displacement is given by $y = 2A \sin(kx) \cos(\omega t)$.At a node,the amplitude of vibration is zero because the displacement is always zero at these points,i.e.,$\sin(kx) = 0$.At an anti-node,the amplitude of vibration is maximum,which is $2A$,because the displacement is maximum at these points,i.e.,$|\sin(kx)| = 1$.

Give the values of the amplitude at a node and an anti-node in a stationary wave.

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