Sound waves with frequency 3000 Hz and speed 343 m/s diffract through the rectangular opening of a speaker cabinet and into a large auditorium of length d = 100 m.The opening, which has a horizontal width of 30.0 cm, faces a wall 100 m away. Along that wall, how far from the central axis will a listener be at the first diffraction minimum and thus have difficulty hearing the sound? (Neglect reflections.)

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter27: Wave Optics
Section: Chapter Questions
Problem 27P
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Sound waves with frequency
3000 Hz and speed 343 m/s diffract
through the rectangular opening of
a speaker cabinet and into a large
auditorium of length d = 100 m.The
opening, which has a horizontal
width of 30.0 cm, faces a wall 100 m
away. Along that wall,
how far from the central axis will a
listener be at the first diffraction minimum and thus have difficulty
hearing the sound? (Neglect reflections.)

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