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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.

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