A tuning fork $A$ of unknown frequency produces $5\, beats/s$ with a fork of known frequency $340\, Hz$. When fork $A$ is filed, the beat frequency decreases to $2\, beats/s.$ What is the frequency of fork $A$ ? (in $Hz$)
JEE MAIN 2021, Medium
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Initially beat frequency $=5 \,Hz$
so, $\rho_{ A }=340 \pm 5=345\, Hz ,$ or $335\, Hz$
after filing frequency increases slightly
so, new value of frequency of $A >\rho_{ A }$
Now, beat frequency $=2\, Hz$
$\Rightarrow$ new $\rho_{ A }=340 \pm 2=342\, Hz ,$ or $338 \,Hz$
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