A standing wave is established on a stretched string fixed at both ends

PHYSICS · Single correct · CBSE · Physics · Waves · Waves

Problem

A standing wave is established on a stretched string fixed at both ends. Which statement best explains why the displacement of the string at a node remains zero at all times? (a) Tension is maximum at a node, forcing that point to stay at its equilibrium position. (b) Energy cannot exist at a node, so the string is physically prevented from moving there. (c) At a node, the two traveling waves have equal amplitudes but opposite displacements for every instant, so their superposition is always zero. (d) Destructive interference occurs only once each cycle at a node, but the string stays at rest there for the whole time due to its inertia.

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