Both drawings show the same square, each of which has a side of length L=0.75 m. An observer O is stationed at one corner of each square. Two loudspeakers are locate at corners of the square, as in either drawing 1 or drawing 2. The speakers produce the same single-frequency tone in either drawing and are in phase. The speed of sound is 343 m/s. Find the single smallest frequency that will produce both constructive interference in drawing 1 and destructive interference in drawing 2.

Question

In drawing 1, the two speakers are at opposite corners; that is, a line segment between them would be the hypotenuse of a right triangle, and the distance can be calculated to be 1.06m. The observer is at a third corner, 0.75 m from both speakers.
In drawing 2, the two speakers are adjacent to each other. The distance between them is 0.75 m. The observer is 0.75 m from one speaker, and 1.06 from the other.

Answer 1

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