Frequency of a sonometer wire is $n.$ Now its tension is increased $4$ times and its length is doubled then new frequency will be
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(d) $n \propto \frac{1}{l}\sqrt T $
==> $\frac{{n'}}{n} = \sqrt {\frac{{T'}}{T}} \times \frac{l}{{l'}} = \sqrt 4 \times \frac{1}{2} = 1$
==> $n' = n$
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