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

On the planet Arrakis a male ornithoid is flying toward his mate at 25m/swhile singing at a frequency of 1200  Hz. If the stationary female hears a tone of 1240  Hz, what is the speed of sound in the atmosphere of Arrakis?

Short Answer

Expert verified

Sound travels at a speed of 775 m/s.

Step by step solution

01

Given data

Speed of the male ornithoid is 25  m/s

Frequency while singing by male is1200  Hz

Frequency heard by the female is 1240  Hz

02

Doppler’s effect

The Doppler’s effect is given by the formula,

fL=v+vLv+vSfS

where

  • role="math" localid="1655813921062" fLis the frequency of the wave that is heard by the listener.
  • vis the wave speed.
  • vLis the listener’s speed.
  • vsis the sound source’s speed.
  • fsis the sound source’s frequency.
03

Consider the male is moving towards the listener

fL=v+vLv+vSfS1240 Hz=v+0v25 m/s×1200 Hzvv25 m/s=3130v=775 m/s

So, the speed of the sound in the atmosphere is 775 m/s.

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

Study anywhere. Anytime. Across all devices.

Sign-up for free