Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 21 - Superposition - Conceptual Questions: 7

Answer

(a) The tension should increase by a factor of 4 (b) The length of the string should decrease by a factor of 2

Work Step by Step

(a) We know that $f = \frac{v}{\lambda}$. If the length of the string doesn't change, then $\lambda$ doesn't change. To play twice the frequency, the speed of the wave along the string must double. $v \propto \sqrt{T}$ To double the speed, we need to increase the tension $T$ by a factor of 4. (b) We know that $f = \frac{v}{\lambda}$. If the tension of the string doesn't change, then $v$ doesn't change. To play twice the frequency, the wavelength must be half the original wavelength. The wavelength of the fundamental frequency is $2L$. To have a wavelength of $L$, the length of the string must be $\frac{L}{2}$ which is half the original length. We need to decrease the length by a factor of 2.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.