Chapter 2: Q44E (page 541)

In Example $16.18$ (Section $16.8$ ), suppose the police car is moving away from the warehouse at $20 m / s$ . 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 $267 Hz$ .

Step by step solution

Step 1:Given data

Speed of the car going away is $20 m / s$

Doppler’s effect

The Doppler’s effect is given by the formula,

$f_{L} = \frac{v + v_{L}}{v + v_{S}} f_{S}$

where

$f_{L}$ is the frequency of the wave that is heard by the listener.
$v$ is the wave speed.
$v_{L}$ is the listener’s speed.
$v_{s}$ is the sound source’s speed.
$f_{s}$ is the frequency of the source of sound.

Consider warehouse as a listener

$\begin{matrix} f_{W a r e h o u s e} = \frac{v + v_{L}}{v + v_{S}} f_{S} \\ = \frac{344 m / s + 0}{344 m / s + 20 m / s} \times 300 Hz \\ = 283.52 Hz \end{matrix}$

Consider the driver as listener

$\begin{matrix} f_{d r i v e r} = \frac{v + v_{L}}{v + v_{S}} f_{S} \\ = \frac{344 m / s - 20 m / s}{344 m / s + 0} \times 283.52 Hz \\ = 267 Hz \end{matrix}$

So, the driver hears a frequency of $267 Hz$ .

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

Short Answer

Step by step solution

Step 1:Given data

Doppler’s effect

Consider warehouse as a listener

Consider the driver as listener

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Most popular questions from this chapter

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

Short Answer

Step by step solution

Step 1:Given data

Doppler’s effect

Consider warehouse as a listener

Consider the driver as listener

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Linear Momentum

Magnetism and Electromagnetic Induction

Circular Motion and Gravitation

Fluids

Modern Physics

Mechanics and Materials

Study anywhere. Anytime. Across all devices.

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