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Question

What conditions are required for two waves on a rope to interfere completely destructively?

Solution

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Interference is the interaction of two waves that pass through the same space. It can be destructive, when the resulting wave has a smaller amplitude than the original ones or when two waves cancel each other, or constructive when the resulting wave has a greater amplitude than the original ones.

To manage completely destructive interference, two waves should be the same, traveling towards each other whit the shift in phase of one period. Therefore, the two waves should be opposite. In this scenario, two waves will cancel each other so the resulting wave will be a straight line.

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