One speaker is located at the origin and the other is located at (x,y)= (0,3.00 m).The speakers emit identical sound waves of wavelength 2.00 m which are initially in phase.Where does constructive interference occur?
A)x = 1.00 m
B)x = 1.25 m
C)x = 1.50 m
D)x = 2.00 m

Question

Quizplus · Accepted Answer

Constructive interference occurs at points where the path difference between the waves from the two sources is an integer multiple of the wavelength. Given the geometry, the path difference for a point along the x-axis is simply the difference in distance from each speaker to that point. Since one speaker is at the origin and the other is at (0, 3.00 m), for a point on the x-axis, the path difference is the difference in y-coordinates, which is 3.00 m for all points on the x-axis. However, the question seems to be misinterpreted as it doesn't align with the standard understanding of path difference and constructive interference. Constructive interference would typically depend on the difference in distance to the two points, which would vary along the x-axis and not be a constant 3.00 m. The correct interpretation should involve calculating the path difference based on the positions given and comparing it to the wavelength, but the provided information and choices suggest a misunderstanding or misstatement of the problem as it stands.

One Speaker Is Located at the Origin and the Other