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Chapter 2: Q44E (page 541)

In Example 16.18 (Section 16.8), suppose the police car is moving away from the warehouse at 20鈥夆赌�m/s . What frequency does the driver of the police car hear reflected from the warehouse?

Short Answer

Expert verified

The driver will hear a frequency of 267鈥塇锄.

Step by step solution

01

Step 1:Given data

Speed of the car going away is 20m/s

02

Doppler’s effect

The Doppler鈥檚 effect is given by the formula,

fL=v+vLv+vSfS

where

  • fLis the frequency of the wave that is heard by the listener.
  • vis the wave speed.
  • vLis the listener鈥檚 speed.
  • vsis the sound source鈥檚 speed.
  • fsis the frequency of the source of sound.
03

Consider warehouse as a listener

fWarehouse=v+vLv+vSfS=344鈥夆赌塵/s+0鈥�344鈥尘/s+20鈥尘/s脳300鈥塇锄=283.52鈥塇锄

04

Consider the driver as listener

fdriver=v+vLv+vSfS=344鈥尘/s鈭�20鈥尘/s344鈥尘/s+0脳283.52鈥塇锄=267鈥塇锄

So, the driver hears a frequency of 267鈥塇锄.

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