Question
A crest of a wave with an amplitude of 3 meters intersects with another trough of a wave with an amplitude of 2 meters. What is the resulting amplitude?
6 meters
2 meters
1 meter
3 meters
6 meters
2 meters
1 meter
3 meters
Answers
GPT-4o mini
When a crest of one wave intersects with a trough of another wave, the resulting amplitude is determined by the principle of superposition. In this case, the crest of 3 meters and the trough of 2 meters will partially cancel each other out.
The crest has a positive amplitude of 3 meters, and the trough has a negative amplitude of 2 meters. To find the net amplitude, you subtract the trough's amplitude from the crest's amplitude:
\[ \text{Resulting Amplitude} = 3 \, \text{meters} - 2 \, \text{meters} = 1 \, \text{meter} \]
Therefore, the resulting amplitude is **1 meter**.
The crest has a positive amplitude of 3 meters, and the trough has a negative amplitude of 2 meters. To find the net amplitude, you subtract the trough's amplitude from the crest's amplitude:
\[ \text{Resulting Amplitude} = 3 \, \text{meters} - 2 \, \text{meters} = 1 \, \text{meter} \]
Therefore, the resulting amplitude is **1 meter**.