Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 28 - Physical Optics: Interference and Diffraction - Problems and Conceptual Exercises - Page 1004: 6

Answer

Please see the work below.

Work Step by Step

We know that $\lambda=\frac{v}{f}$ $\implies \lambda=\frac{343m/s}{185 Hz}$ $\lambda=1.85m$ Now the distance from source 1 to student B is given as $l_2=\sqrt{(3.0)^2+(1.5)^2}$ $l_2=3.35m$ The distance from source 1 to student is A is $l_1=1.5$ $l_2-l_1=3.35-1.5=1.85m$ The ratio of path difference to the wavelength is given as $\frac{l_2-l_1}{\lambda}=\frac{1.85m}{1.85m}=1$ Since the difference is 1 wavelength, the tone heard at location B is minimum.
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