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Physics / Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) 4 / Chapter 33 / Problem 33.66

Physics for Scientists and Engineers: A Strategic Approach, Standard Edition (Chs 1-36) | 4th Edition | ISBN: 9780134081496 | Authors: Randall D. Knight (Professor Emeritus)

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Because sound is a wave, its possible to make a

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QUESTION:

Because sound is a wave, its possible to make a diffraction grating for sound from a large board of sound-absorbing material with several parallel slits cut for sound to go through. When 10 kHz sound waves pass through such a grating, listeners 10 m from the grating report loud spots 1.4 m on both sides of center. What is the spacing between the slits? Use 340 m/s for the speed of sound.

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QUESTION:

Because sound is a wave, its possible to make a diffraction grating for sound from a large board of sound-absorbing material with several parallel slits cut for sound to go through. When 10 kHz sound waves pass through such a grating, listeners 10 m from the grating report loud spots 1.4 m on both sides of center. What is the spacing between the slits? Use 340 m/s for the speed of sound.

ANSWER:

Step 1 of 4

Knowing the speed of the sound and the frequency we can find the wavelength of the sound where

Hence, substituting the givens we find that the wavelength is equal to

And knowing the distance separating the first order maxima and the central maxima , and the distance between the line of observation "the horizontal line parallel to the plane of the diffraction grating and along which the observe is walking to hear the sound" and the sound diffraction grating .

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