Speakers 1 and 2 are 18 m apart. Both emit identical triangular sound waves with

Question

Speakers 1 and 2 are 18 m apart. Both emit identical triangular sound waves with lamda = 4m and phi = pi/2rad. Point B is r1 = 24 m from speaker 1.

a. What is distance r2 from speaker 2 to B?

b. Draw the wave from speaker 2 along the dashed line to just past point A.

c. At B, is wave 1 a crest, trough, or zero? At B, is wave 2 a crest, trough, or zero?

d. What is the path length difference delta r = r2 -r1? What is the ratio delta r / lamda?

e. Is the interference at point B constructive, destructive, or in between?

15. 1 are 18 m apart. Both emit identical #1A 4 m 8 m 12 m 16 m 20 m. B Speakers and 2 triangular sound waves with 4 m and po TT/2 rad. Point B is r 24 m from speaker 1. a. What is distance r from speaker 2 to B? 18 m #2 b. Draw the wave from speaker 2 along the dashed line to just past point A. c. At B, is wave 1 a crest, trough, or zero? At B, is wave 2 a crest, trough, or zero? d. What is the path length difference Ar r? What is the ratio Arl)? e. Is the interference at point B constructive, destructive, or in between?

Explanation / Answer

a) r2 = (182 + 202)1/2 = 26.9m

c) wave 1 is crest

wave 2 is trough

d) path difference = 26.9 - 24 = 2.9m

ratio = 0.725

e) in between

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