A tuning fork $A$ produces $4$ beats/sec with another tuning fork $B$ of frequency $320 Hz$. On filing the fork $A$, $4$ beats/sec are again heard. The frequency of fork $A$, after filing is ....$Hz$
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(a) $nA = ?, nB =$ Known frequency $= 320 Hz$
$x = 4$ bps, which remains same after filing.
Unknown fork $A$ is filed so $nA\uparrow$
Hence $nA\uparrow -nB = x$ Wrong
$nB -nA\uparrow = x$ Correct
==> $nA = nB -x = 320 -4 = 316 Hz$.
This is the frequency before filing.
But in question frequency after filing is asked which must be greater than $316 Hz$, such that it produces $4$ beats per sec. Hence it is $324 Hz.$
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