Chapter 15.2, Problem 23SSC

To determine

The frequency of first tuning fork.

Answer to Problem 23SSC

The frequency of first tuning fork is $395$ Hz or $389$ Hz.

Explanation of Solution

Given:

  $f_{beat}=3\text{ Hz}$

  $f_2=392\text{ Hz}$

Formula used:

  $f_1=f_2\pm f_{beat}$

Calculation:

The first tuning fork frequency is calculated as,

  $\begin{array}{l}{f}_1=f_2\pm f_{beat}\\ f_1=392\pm 3\\ f_1=395\text{ or }{f}_1=389\text{ Hz}\end{array}$

Conclusion:

  $f_1=395\text{ or }{f}_1=389\text{ Hz}$