The fundamental frequency of a string stretched with a weight of $4 kg$ is $256 Hz$. The weight required to produce its octave is .... $kg \,wt$
Medium
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(d) $n = \frac{1}{{2l}}\sqrt {\frac{T}{m}} $
==> $n \propto \sqrt T $ For octave, $n' = 2n$
==> $\frac{{n'}}{n} = \sqrt {\frac{{T'}}{T}} = 2$
==> $T' = 4T = 16kg{\rm{ - }}wt$
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