A violin A-string 0.33 m long vibrates at a fundamental frequency of 440 Hz. Where should your finger press the string against the finger board so that its decreased length causes it to vibrate at (a) five-fourths times the original frequency and (b) four-thirds times the original frequency?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter14: Superposition And Standing Waves
Section: Chapter Questions
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A violin A-string 0.33 m long vibrates at a fundamental frequency of 440 Hz. Where should your finger press the string against the finger board so that its decreased length causes it to vibrate at (a) five-fourths times the original frequency and (b) four-thirds times the original frequency?

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