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

Free

80.2K

Verified Solution

Question

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 DestructiveÂ Â You are 2.5? away from speakerA; 3? away from speaker B and at the speakers the waves are exactlyin phase.
Constructive DestructiveÂ Â You are 3? away from speaker A;2? away from speaker B and at the speakers the waves are exactlyout of phase.
Constructive DestructiveÂ Â You are 3? away from speaker A;2.5? away from speaker B and at the speakers the waves are exactlyout of phase.
Constructive DestructiveÂ Â 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 DestructiveÂ Â You are 3.5? away from speakerA; 3? away from speaker B and at the speakers the waves are exactlyin phase.
Constructive DestructiveÂ Â You are 2.5? away from speakerA; 3? away from speaker B and at the speakers the waves are exactlyout of phase.
Constructive DestructiveÂ Â You are 2? away from speaker A;3? away from speaker B and at the speakers the waves are exactly inphase.
Constructive DestructiveÂ Â 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)

path difference=3*lambda-2.5*lambda

=1/2*lambda

answer is: destructive

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

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

path difference=3*lambda-2*lambda

=1*lambda

answer is: constructive

part (B)

path difference=3.5*lambda-3*lambda

=1/2*lambda

answer is: destructive

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

path difference=3*lambda-2*lambda

=2*lambda

answer is: constructive

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

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member

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

Free

80.2K

Verified Solution

Question

Physics

Answer & Explanation Solved by verified expert

Get Answers to Unlimited Questions

Membership Benefits:

Other questions asked by students