Question

A student has two tuning forks, one with a frequency of 349 Hz and the other with an unknown frequency. When struck together, the tuning forks produce three beats per second. What are all the possible frequencies of the unknown tuning fork?

Answer 1

Step-by-step explanation:

Given

Frequency of one of the tuning fork
`f_1=349\ Hz`

Suppose
`f_2` is the frequency of second tuning fork

Beat produced is the difference of frequency of two tuning forks

no of beats produced n=3 beats per second

`|f_1-f_2|=3`

`f_1-f_2=\pm 3`

`349-f_2=\pm 3`

case 1

`349-f_2=3`

`f_2=346\ Hz`

case 2

`349-f_2=-3`

`f_2=352\ Hz`