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 509: 47

Answer

The depth of the water surface in the well is $~~12.4~m$

Work Step by Step

We can find the speed of sound in the well: $v = \sqrt{\frac{B}{\rho}}$ $v = \sqrt{\frac{1.33\times 10^5~Pa}{1.10~kg/m^3}}$ $v = 347.7~m/s$ We can find the depth $L$ of the water surface in the well: $f = \frac{nv}{4L}$ $L = \frac{nv}{4f}$ $L = \frac{(1)(347.7~m/s)}{(4)(7.00~Hz)}$ $L = 12.4~m$ The depth of the water surface in the well is $~~12.4~m$
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