Chapter 26, Problem 51A

Two sounds, one at 240 Hz and the other at 243 Hz, occur at the same time. What beat frequency do you hear?

To determine

To Calculate: The beat frequency when two sounds occur at the same time.

Answer to Problem 51A

  $3Hz$

Explanation of Solution

Given:

The given frequencies are $f_1=240\text{ Hz}$ and $f_2=243\text{ Hz}$ .

Formula used:

Beat frequency:

  ${\mathrm{f}}_{beat}=\left|f_2-f_1\right|$

Calculation:

Substitute the given values:

  $\begin{array}{l}{f}_{beat}=\left|f_2-f_1\right|\\ =\left|243-240\right|\\ =3\end{array}$

Conclusion:

The beat frequency which we heard is $3Hz$ .