Final answer:
The wavelength is 2.00 m.
Step-by-step explanation:
Constructive interference occurs when the path difference between two sources equals an integral multiple of the wavelength. Destructive interference occurs when the path difference equals half of an odd multiple of the wavelength.
In this case, the person stands 3.00 m from one speaker and 4.00 m from another identical speaker.
To determine the wavelength, we need to find the path difference between the two sources.
The path difference can be calculated using the equation:
path difference = distance between speakers - distance from one speaker.
So, the path difference is
4.00 m - 3.00 m = 1.00 m.
Since there is destructive interference at n = 1, the path difference must equal half of the wavelength.
Therefore, the wavelength = 2 * path difference = 2 * 1.00 m = 2.00 m.