The opening of a loudspeaker can be modeled as a circular hole through which sound waves propagate …

The opening of a loudspeaker can be modeled as a circular hole through which sound waves propagate into space. Determine the maximum diameter of the speaker such that the first diffraction minimum of sound is at least 45^∘ from the direction in which the speaker points. Perform the calculations for sound waves of frequency (a) 200 Hz, (b) 1000 Hz, and (c) 10,000 Hz. The speed of sound is 340 m / s.

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