Answer:
Explanation:
The wavelength of sound can be calculated using the formula: wavelength = velocity / frequency.
Thus, it becomes:
λ = 340 / 170
λ = 2 m.
When the person stands ideally in the center between the speakers, the sound waves reaching him are perfectly aligned (no path difference), resulting in maximum sound intensity.
As he moves closer to one of the speakers, his proximity to that speaker increases while the distance to the other speaker decreases, creating a path difference in the sound waves reaching his ears.
If he walks 0.5 m toward one speaker, the created path difference becomes:
0.5 x 2 = 1 m.
This path difference equals λ / 2, leading to destructive interference, resulting in minimal sound being audible.
As he continues walking a full 1 m, the created path difference totals 2 m.
This corresponds to a path difference of λ, causing constructive interference and maximum sound perception.
Finally, if he moves an additional 1.5 m, the resulting path difference increases to 3 m.
Thus, we arrive at a path difference of 3 λ / 2, producing destructive interference once more, leading to minimum sound being perceived again.
In summary, the man begins at a maximum intensity point, moves to minimum intensity, then back to a maximum, and ultimately ends at another minimum sound intensity position.
