1. 14 points My Notes Ask Your Teacher Two identical loudspeakers, Speaker 1 and

Question

1. 14 points My Notes Ask Your Teacher Two identical loudspeakers, Speaker 1 and Speaker 2, 1.5 m apart are emitting 1800 Hz sound waves into a room where the speed of sound is 340 m/s. Nora is standing 1.4 m directly in front of Speaker 1. (a) What is the wavelength of the sound waves? (b) How far is Nora away from Speaker 2? (c) What is the path length difference for sound reaching Nora from the two speakers? (give a positive value) (d) Using your answers from (a) and (c), is Nora standing in a point of maximum constructive interference, perfect destructive interference, or something in between? constructive interference O destructive interference something in between

Explanation / Answer

(A) wavelength = v / f

= 340 / 1800

= 0.189 m

(B) x2 = sqrt(1.4^2 + 1.5^2) = 2.052 m

(C) path diff = x2 - x1 = 0.652 m

(D) if path diff = (2n + 1) wavelength / 2

then destructive interference

path diff = n wavelength

0.652 / 0.189 = 3.5

hence destructive interference.

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