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Answer :
Final answer:
The question is about wave interference, specifically constructive interference. The path difference between the two speakers is calculated to be 5.00 m, and because this is the first interference maximum, it means there's one complete wave within this path difference, which means the wavelength is 1.00 meter. The correct answer is a) 1.00 meter
Explanation:
The question is asking about the physics concept known as wave interference, more specifically about constructive interference. This concept is used when two or more waves combine to result in a wave of greater, lesser, or the same amplitude. Constructive interference occurs when the crests and troughs of two waves meet and the amplitudes add together. In this scenario, where there are two speakers and a person, it represents areas of constructive interference. The path difference between the waves from the two speakers equals a multiple of the wavelength.
To determine the wavelength, the path difference, which is the absolute difference between these distances needs to be calculated, so |13.00 m - 8.00 m| = 5.00 m. Because this is the first (n = 1) interference maximum (constructive), there's only one complete wave within this path difference. Therefore, the answer is a) 1.00 meter
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