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

Answer:

300 Hz and 240 Hz

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.