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

Question :(I) If you were to build a pipe organ with open-tube pipes spanning the range of human hearing (20 Hz to 20 kHz), what would be the range of the lengths of pipes required?

Short Answer

Expert verified

The pipe length varies from 8.65m to 8.65ร—10โˆ’3m with the frequencies 20Hz to 20000Hz.

Step by step solution

01

Step-1:- Understanding the frequency of an open pipe

The frequency of an open pipe gets influenced by the difference in speed of the wave and the wavelength.

02

Step-2:-Given data

The lowest frequency range of human hearing is fmin=20Hz.

The highest frequency range of human hearing is fmax=20000Hz.

03

Step-3:-Calculation of the pipe length

The length of the pipe for the minimum frequency is calculated as,

l1=ฮฝ2fmin=346m/s2ร—(20Hz)=8.65m

The length of the pipe for the maximum frequency is calculated as,

l2=ฮฝ2fmax=346m/s2ร—(20000Hz)=8.65ร—10โˆ’3m

The range of the lengths of pipes is 8.65m to 8.65ร—10โˆ’3m.

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