Wave Behavior

Objective: Explain boundary behavior and superposition.

At a boundary, wave energy can be reflected, transmitted, and absorbed in proportions dependent on the materials and wave type. Superposition states that overlapping wave displacements add; in-phase waves can interfere constructively and out-of-phase waves destructively. Destructive interference can reduce local amplitude without destroying total energy; energy is redistributed in space and time. A standing-wave pattern can form from overlapping waves traveling in opposite directions under suitable boundary conditions, with nodes of small amplitude. The speed and wavelength of a transmitted wave may differ across media, while frequency often remains set by the source. Diagrams should distinguish rays or fronts from actual material paths.

Objective: Apply wave behavior to calculations, evidence, and specified situations.

In the linear superposition model, overlapping wave displacements add algebraically. Constructive and destructive interference describe reinforcement and cancellation at a place and time. Reflection, transmission, and absorption can all occur at a boundary. A fixed-end string reflection is inverted in the ideal model. When a wave changes medium, source frequency remains constant while speed and wavelength may change. Real boundaries and large-amplitude waves can require more complex models.