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I know that Electromagnetic waves undergoes a phase shift when reflected from a denser optical medium. Does this conclusion also hold for other mechanical waves like sound wave reflecting from water surface?

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Whenever a wave travelling from rarer medium is incident on an interface seperating it from a denser medium and undergoes reflection it gets a phase change of π .This is valid for both light and sound . Wikipedia link for further reading and diagrams :- httpss://en.m.wikipedia.org/wiki/Reflection_phase_change