A tuning fork gives $4$ beats with $50 cm$ length of a sonometer wire. If the length of the wire is shortened by $1 cm$, the number of beats is still the same. The frequency of the fork is
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$n \propto \frac{1}{l}$
$ \Rightarrow{n_1}{l_1} = {n_2}{l_2}$
$ \Rightarrow \,(n + 4)49 = (n - 4)50 \Rightarrow n = 396$
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