Question

Two tuning forks are sounded at the same time. which tuning forks will give rise to a beat frequency of 30 hz when sounded together with a 270 hz tuning fork?

Answer 1

300 Hz and 240 Hz

Step-by-step explanation:

Beat frequency formed by the tuning fork is given by :

`f_(beat)=f_1\pm f_2`

Here, the beat frequency,
`f_(beat)=30\ Hz`

The frequency of a tuning fork,
`f_2=270\ Hz`

If
`f_(beat)=f_1+f_2`

`f_1=f_(beat)-f_2`

`f_1=30-270`

`f_1=240\ Hz`

If
`f_(beat)=f_1-f_2`

`f_1=f_(beat)+f_2`

`f_1=30+270`

`f_1=300\ Hz`

So, the tuning forks will give rise to a beat frequency are 240 Hz and 300 Hz. Hence, this is the required solution.