1. Two speakers are 4.5 meters apart, in phase, and produce a single sound wave with #wavelength λ = 0.8m. Three points labelled A, B, and C are 4.0m, 8.0m, and 12.0m below the speaker on the left, as shown. Fill in the table with the required information, and indicate whether the point sees Constructive or Destructive interference. (Hint: remember the Pythagorean theorem!) 4.5m A B C 41 AL= L2 14-121 AL 2 T sh C/D 4m 4m 4m B с C Hint: Remember the Pythagorean Thorem: c²=a² + b² a b
1. Two speakers are 4.5 meters apart, in phase, and produce a single sound wave with #wavelength λ = 0.8m. Three points labelled A, B, and C are 4.0m, 8.0m, and 12.0m below the speaker on the left, as shown. Fill in the table with the required information, and indicate whether the point sees Constructive or Destructive interference. (Hint: remember the Pythagorean theorem!) 4.5m A B C 41 AL= L2 14-121 AL 2 T sh C/D 4m 4m 4m B с C Hint: Remember the Pythagorean Thorem: c²=a² + b² a b
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Condition for Constructive and Destructive interference:
Two waves that are in phase superimpose on each other to give a resultant wave. These waves form constructive interference if the path difference between them is an integral multiple of the wavelength of the resultant wave. Mathematically,
where and are the lengths of the path traveled by the waves and is the wavelength. Here
The waves form destructive interference if the path difference between them is a half-odd integral of the wavelength of the resultant wave. Mathematically,
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