Two in-phase loudspeakers, 15.0 m apart, are setup in an open field to avoid ref

ID: 2097263 • Letter: T

Question

Two in-phase loudspeakers, 15.0 m apart, are setup in an open field to avoid reflections from

objects. Each speaker is producing 250 Hz tones and the speed of sound is 340 m/s. A person

stands at the midpoint between the speakers. (a) What does this person hear, constructive or

destructive interference? Why? (b) They now walk towards one of the speakers. How far from

the center must they walk before they first hear the sound become a minimum intensity? (c)

How far must they walk from the center before they first hear a sound intensity maxima? (d)

Repeat (a) through (c) if the speakers are 180

a) constructive because path difference of rays from both the speakers is zero.

b) 2*d=0.5*lambda

==> d=0.25*250/340=0.184 m

c) d=2*0.184=0.368 m

1) destructive

2) d=2*1.84=0.368 m

3) d=0.184 m

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