Q57PE - College Physics (Urone)

Question

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?

Step-by-Step Solution

Answer

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

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

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

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