Every object has a resonant frequency - the natural frequency at which something vibrates. Wine glasses, because of their hollow shape, are particularly resonant. If you run a damp finger along the rim of a glass, you might hear a faint, ghostly hum - the resonant frequency of the glass.
Or you can simply tap the glass and hear the same frequency. To shatter the glass, a singer's voice has to match that frequency, or pitch, and the glass must have microscopic defects.
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