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Music: In an orchestra, if the instruments playing are in phase, then the audience will hear a louder and richer sound.
Noise Cancelling: In noise cancelling headphones or walls, it creates a sound completely out of phase with the outside sound to cause destructive interference and cancel out the sound.

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Constructive interference is caused when two or more waves are in phase. This makes the sound louder.

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Destructive interference is caused by two or more waves being completely out of phase. This causes the noise to cancel out.

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There can also be a combination of the two, for example a 90 degree out of phase wave. This makes the sound sometimes louder and sometimes weaker.

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There can be different types of wave interference: constructive, destructive or a combination of the two like 90 degree out of phase.

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Wave interference works by having more than one speaker, of which the sound waves interact. This can create constructive or destructive interference depending on the position and other factors of the wave. You can move the speakers closer together or further away to produce different volumes of sound for example.

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https://getrevising.co.uk/revision-cards/waves-notes-and-revsion
https://brocku.ca/earthsciences/people/gfinn/optical/phase.htm
https://www.allaboutcircuits.com/textbook/alternating-current/chpt-1/ac-phase/