Understanding the Concept of Waves - High School Physics

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Question

Two waves, each with an amplitude of are superimposed with constructive interference such that they are in phase. What is the resultant amplitude?

Answer

When two waves are superimposed, the interference can either be constructive or destructive. In this case, the interference is constructive and the waves are in phase, which means we add the amplitudes together.

Since each wave has an amplitude of , our new amplitude will be .

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Question

Two waves, one with an amplitude of and the other of are superimposed with destructive interference. What is the resultant amplitude?

Answer

When two waves are superimposed, the interference can be either constructive or destructive. In this case the interference is destructive, which means our resultant amplitude will be the difference of the two given amplitudes.

That means our new amplitude will be .

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Question

Two identical waves are superimposed with destructive interference. What will happen to the resulting wave?

Answer

When two waves are superimposed with destructive interference, they cancel each other out. Since these two waves are identical, they will completely cancel each other out and there will be no wave. It will be still.

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