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Chapter 17: Q38PE (page 595)

A “showy” custom-built car has two brass horns that are supposed to produce the same frequency but actually emit 263.8 Hz and 264.5 Hz. What beat frequency is produced?

Short Answer

Expert verified

The beat frequency is 0.7 Hz.

Step by step solution

01

Given Data

The first frequency is \({f_1} = 263.8\;Hz\).

The second frequency is \({f_2} = 264.5\;Hz\).

02

Calculation of the beat frequency

The beat frequency is,

\({f_b} = \left| {{f_1} - {f_2}} \right|\)

Plugging the values,

\(\begin{aligned}{f_b} = \left| {263.8 - 264.5} \right|\\ = 0.7\end{aligned}\)

Therefore the beat frequency is 0.7 Hz.

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