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 - Questions - Page 505: 5

Answer

We can rank the pipes according to their length: $E \gt A \gt D \gt C \gt B$

Work Step by Step

We can write an expression for the length of pipe A: $f = \frac{3v}{2L}$ $L = 1.5~\frac{v}{f}$ We can write an expression for the length of pipe B: $f = \frac{v}{4L}$ $L = 0.25~\frac{v}{f}$ We can write an expression for the length of pipe C: $f = \frac{3v}{4L}$ $L = 0.75~\frac{v}{f}$ We can write an expression for the length of pipe D: $f = \frac{5v}{4L}$ $L = 1.25~\frac{v}{f}$ We can write an expression for the length of pipe E: $f = \frac{7v}{4L}$ $L = 1.75~\frac{v}{f}$ We can rank the pipes according to their length: $E \gt A \gt D \gt C \gt B$
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