The Mathematical Description of a Wave Video Lessons

Concept

# Problem: If two waves with equal amplitudes and wavelengths travel through a medium in such a way that a particular particle of the medium is at the crest of one wave and at the trough of the other wave at the same time, what will happen to that particle? A. The particle will cause beats as a result of the wave combination. B. The particle will move halfway to the crest due to reinforcement. C. The particle will vibrate with double amplitude due to resonance. D. The particle will remain stationary due to interference.

###### FREE Expert Solution

The two waves have the same wavelength, thus allowing interference to occur. The waves are 180 degrees out of phase.

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###### Problem Details

If two waves with equal amplitudes and wavelengths travel through a medium in such a way that a particular particle of the medium is at the crest of one wave and at the trough of the other wave at the same time, what will happen to that particle?

A. The particle will cause beats as a result of the wave combination.

B. The particle will move halfway to the crest due to reinforcement.

C. The particle will vibrate with double amplitude due to resonance.

D. The particle will remain stationary due to interference.