Final answer:
Pure destructive interference involves two identical waves that are out of phase, resulting in zero amplitude. A student can demonstrate this with two sound sources placed to ensure they emit sound waves precisely out of phase and correctly positioned relative to the observer in a controlled environment.
Step-by-step explanation:
Creating a situation of pure destructive interference is theoretically possible but practically challenging. Destructive interference occurs when two identical waves are superimposed exactly out of phase, meaning their crests align with the troughs of the other, canceling each other out.
This results in zero net amplitude, or complete cancellation of the waves. To demonstrate destructive interference using two sound sources, a student must ensure that the sound sources emit waves with the same frequency and amplitude, and that they are out of phase by π radians (180 degrees).
The setup also requires precise positioning of the sources and the observer to maintain the path difference that ensures destructive interference. Environmental factors, such as reflections and diffraction, must also be controlled to observe pure destructive interference.
For instance, in an experiment using speakers as sound sources, the student would have to place the speakers a certain distance apart such that the sound waves from each speaker arrive at the observation point out of phase. In a controlled environment, where external noise and reflections are minimized, they may be able to create a quiet zone where the sound waves consistently cancel out, demonstrating pure destructive interference.