Here's why:
* Destructive interference occurs when two waves with the same frequency and amplitude meet, but their crests align with troughs. This means the waves are exactly out of phase.
* Displacement refers to the distance an object moves from its equilibrium position.
* When two waves interfere destructively, their individual displacements cancel each other out at the point of interference.
Imagine two waves, one going up (positive displacement) and the other going down (negative displacement) at the same time and place. The combined effect is that they cancel each other out, resulting in zero displacement.
This principle is the basis for noise cancellation technologies, where sound waves are used to cancel out unwanted noise.
