Two speakers sit 4.0m apart. Each is playing the same pure tone, of a single frequency sinusoidal sound wave. For simplicity, we can place these on the y-axis at y = +2.0m and at y = -2.0m. You stand on the centerline between the speakers, and 10.0m in front of them (this would be at y = 0m, x = 10.0m) At this location, you hear maximum intensity sound, a.k.a. constructive interference. You then walk in the +y direction until you hear a minimum intensity of sound, a.k.a. destructive interference. This happens when you reach y = 2.5m. (Your coordinates would now be x = 10.0, y = 2.5.) Interference is based on path length differences form different sources to the same detection point. Identify the paths from the two different speakers to the first observation point (10,0). How long is each of these paths?

Two speakers sit 4.0m apart. Each is playing the same pure tone, of a single frequency sinusoidal sound wave. For simplicity, we can place these on the y-axis at y = +2.0m and at y = -2.0m. You stand on the centerline between the speakers, and 10.0m in front of them (this would be at y = 0m, x = 10.0m) At this location, you hear maximum intensity sound, a.k.a. constructive interference. You then walk in the +y direction until you hear a minimum intensity of sound, a.k.a. destructive interference. This happens when you reach y = 2.5m. (Your coordinates would now be x = 10.0, y = 2.5.) Interference is based on path length differences form different sources to the same detection point. Identify the paths from the two different speakers to the first observation point (10,0). How long is each of these paths?