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There are two speakers at the front of the room. Each is outputting a 250Hz pure...

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Physics

There are two speakers at the front of the room. Each isoutputting a 250Hz pure tone. For each of the following situations,will you hear constructive interference (a loud noise) ordestructive interference (soft or no noise). ? represents thewavelength of the 250Hz tone.
Constructive Destructive  You are 2.5? away from speakerA; 3? away from speaker B and at the speakers the waves are exactlyin phase.
Constructive Destructive  You are 3? away from speaker A;2? away from speaker B and at the speakers the waves are exactlyout of phase.
Constructive Destructive  You are 3? away from speaker A;2.5? away from speaker B and at the speakers the waves are exactlyout of phase.
Constructive Destructive  You are 2? away from speaker A;3? away from speaker B and at the speakers the waves are exactly inphase.

There are two speakers at the front of the room. Each isoutputting a 250Hz pure tone. For each of the following situations,will you hear constructive interference (a loud noise) ordestructive interference (soft or no noise). ? represents thewavelength of the 250Hz tone.
Constructive Destructive  You are 3.5? away from speakerA; 3? away from speaker B and at the speakers the waves are exactlyin phase.
Constructive Destructive  You are 2.5? away from speakerA; 3? away from speaker B and at the speakers the waves are exactlyout of phase.
Constructive Destructive  You are 2? away from speaker A;3? away from speaker B and at the speakers the waves are exactly inphase.
Constructive Destructive  You are 6? away from speaker A;5? away from speaker B and at the speakers the waves are exactlyout of phase.

Answer & Explanation Solved by verified expert
4.4 Ratings (762 Votes)


the condition for constructive interference,


path difference=n*lambda (where, n=0, 1, 2, 3 ...)


the conditon for destructive interference,


path difference=(2n-1)*lambda/2 (where, n=1, 2, 3 ...)


part (A)


a)

path difference=3*lambda-2.5*lambda


=1/2*lambda


answer is: destructive

b)

path difference=3*lambda-2*lambda


=1*lambda


here,


waves are in out of phase


path difference=lambda+lambda/2


=3/2*lambda


answer is: destructive

c)

path difference=3*lambda-2.5*lambda


=1/2*lambda


here,


waves are in out of phase


path difference=lambda/2+lambda/2


=1*lambda


answer is: constructive

d)

path difference=3*lambda-2*lambda


=1*lambda


answer is: constructive

part (B)


a)

path difference=3.5*lambda-3*lambda


=1/2*lambda


answer is: destructive

b)

path difference=3*lambda-2.5*lambda


=1/2*lambda


here,


waves are in out of phase


path difference=lambda/2+lambda/2


=1*lambda


answer is: constructive

c)

path difference=3*lambda-2*lambda


=2*lambda


answer is: constructive

d)

path difference=6*lambda-5*lambda


=1*lambda


here,


waves are in out of phase


path difference=lambda+lambda/2


=3/2*lambda


answer is: desstructive
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