The central axis that a listener be at the first diffraction minimum is 41.2 m.
How can the speed of sound waves be determined given their frequency and wavelength?
As with all waves, the relationship between the speed of sound, its frequency, and its wavelength is given by v w = f, where v w denotes the sound's speed, f denotes its frequency, and denotes its wavelength.
Light or sound waves are and dispersed around an object in diffraction. Light and music both use waves to transport energy. when a sound or light wave with an .
To calculate
The first minimum should be at a point y away from the speaker and perpendicular to the central axis.
Following that,
=y/(D 2+y 2) 1 / 2 = m / a = / a (for m=1)
As a result,
y= (a / ) 21 D 2D = (0.300m)(3000Hz) / (343m/s) 2−1100 m \ s = 41.2m.
Therefore, the central axis that a listener be at the first diffraction minimum is 41.2 m.
To know more about diffraction, refer: brainly.com/question/21995826
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[NOTE: THIS IS AN INCOMPLETE QUESTION. THE COMPLETE QUESTION IS: Sound waves with frequency 3000Hz and speed 343m/s diffract through the rectangular opening of a speaker cabinet and into a large auditorium of length d=100m. The opening, which has a horizontal width of 30.0cm, faces a wall 100m 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.)]
