Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 17 - Waves-II - Problems - Page 507: 15b

Answer

If the width $w$ of the terraces were smaller, the frequency would be higher.

Work Step by Step

The path length difference between each pulse is $\Delta L = 2w = 1.5~m$ We can find an expression for the number of pulses per second: $f = \frac{v}{\Delta L}$ $f = \frac{v}{2w}$ We can see that as the value of $w$ decreases, then the value of the frequency $f$ increases. Therefore, if the width $w$ of the terraces were smaller, the frequency would be higher.
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