Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Two loudspeakers, Aand B, are driven by the same amplifier and emit sinusoidal waves in phase. The frequency of the waves emitted by each speaker is 172Hz. You are 8.00​ mfrom role="math" localid="1655809995061" A. What is the closest you can be to Band be at a point of destructive interference?

Short Answer

Expert verified

The closet distance from B is 1m.

Step by step solution

01

Given Data

Frequency of sound emitted: f=172 Hz

The distance of observer from A:l=8 m

02

Condition of destructive interference

Condition of destructive interference is Δl=n2λ , (n=1,3,5,7,9,...)whereΔl is the path difference andλ is the wavelength of the sound emitted from the speakers.

03

Use the condition

Given thatf=172 Hz and we know that the speed of sound in air isv=344 m/s .

So,

λ=vf=344 m/s172 Hz=2 m

The two speakers are 8mapart. Let the distance from B is x. So, we can write Δl=8x.

Now,

8x=n2λ8x=n2×28x=nx=8n

From the given values of n, for n=7, we get the closest distance.

Hence, the closest distance from B is 1m.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free