A tuning fork of frequency of `512Hz` when sounded with unknown tunning fork produces `5` beats/sec. If arms of the unknown fork are filed then it produces only `3` beats/sec. Find the frequency of unknown tunning fork.

Explanation

To find the frequency of the unknown tuning fork, we can follow these steps:

### Step 1: Understand the Beat Frequency
The beat frequency is given by the formula:
\[ \text{Beat Frequency} = |f_1 - f_2| \]
where \(f_1\) is the frequency of the known tuning fork (512 Hz) and \(f_2\) is the frequency of the unknown tuning fork.
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