What is the lowest frequency for a microphone interference maximum?

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The discussion centers on calculating the lowest frequency that results in an interference maximum for a microphone positioned between two speakers oscillating out of phase. The speakers are 0.537 m apart, and the microphone is 2.00 m from their midpoint. The key to solving this problem involves understanding the principles of wave interference and the relationship between distance and frequency. Participants are encouraged to share their approaches and calculations to arrive at the solution. The focus remains on the physics of sound waves and their interference patterns.
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A microphone is located on the line connecting two speakers that are 0.537 m apart and oscillating 180° out of phase. The microphone is 2.00 m from the midpoint of the two speakers. What is the lowest frequency that produces an interference maximum at the microphone's location?
 
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Hi rsu,

rsu said:
A microphone is located on the line connecting two speakers that are 0.537 m apart and oscillating 180° out of phase. The microphone is 2.00 m from the midpoint of the two speakers. What is the lowest frequency that produces an interference maximum at the microphone's location?

What have you tried so far?
 
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