college physics

A violin string vibrates at 300 Hz when unfingered. At what frequency will it vibrate if it is fingered one-third of the way down from the end? (That is, only two-thirds of the string vibrates as a standing wave.) Please help!

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  1. The fundamental half-wavelength of the vibrating string will be decreased to 2/3 of the original value. Since the frequency of traveling waves in the string stays the same (wavelength x frequency = constant) , that makes the frquency higher by a factor 3/2. (450 Hz)

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