Question

A tuning fork produces $4$ beats per second with another tuning fork of frequency $256Hz$. the first one is now loaded with a little wax and the beat frequency is found to increase to $6$ per second. What was the original frequency of the tuning fork?

Answer 1

Frequency of tuning for A:

$n_1=256Hz$

No .of beats /sec m=4

Frequency of tuning for B:$n_2$=??

$n_2=n_1+m$

$n_2=256+4=260Hz$

or

$n_2=n_1-m$

$n_2=256-4$= 252 Hz

Now, as it is loaded with wax, its frequency will decrease.

As it produces 6 beats per second, The original frequency must be 252 Hz.

260Hz is not possible because on decreasing the frequency, the beats per second should decrease, Which is not possible.