University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 15 - Mechanical Waves - Problems - Discussion Questions - Page 497: Q15.18

Answer

See explanation.

Work Step by Step

The fundamental frequency is given by equation 15.35. $$f_1=\frac{1}{2L}\sqrt{\frac{F}{\mu}}$$ By pressing the string in the middle, the violinist decreases the length L of the vibrating portion, by a factor of 2. The fundamental frequency is multiplied by 2, i.e., the new note is one octave higher.
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