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College Physics (Urone)
Found in: Page 592
College Physics (Urone)

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

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Short Answer

A car has two horns, one emitting a frequency of 199 Hz and the other emitting a frequency of 203 Hz. What beat frequency do they produce?

The beat frequency produced by the two horns is 4 Hz.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Introduction

We calculate beat frequency of two horns as we know that beat frequency is modulus of difference of two frequencies.

Step 2:  Given parameters and formula for beat frequency

Frequency of first horn \( = 199 Hz\)

Frequency of second horn \( = 203 Hz\)

Beat frequency \(f = \left| {{f_1} - {f_2}} \right|\)

Here,

\({f_1},{f_2}\) - frequency of 2 sources.

\(f\)- beat frequency.

Step 3:  Calculate beat frequency

Beat frequency of two horns is

\(\begin{align}{}f &= \left| {{f_1} - {f_2}} \right|\\f &= \left| {199 - 203} \right|Hz\\f &= 4Hz\end{align}\)

Therefore, the beat frequency produced by the two horns 4Hz.

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