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The fundamental frequency of a string stretched with a weight of 4 kg is 256 Hz. The weight required to produce its octave is

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4 kg wt

12 kg wt

16 kg wt

24 kg wt

answer is C.

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Detailed Solution

$\begin{array}{l} \frac{n_{1}}{n_{2}} = \sqrt{\frac{M_{1}}{M_{2}}} \Rightarrow \frac{n}{2 n} = \sqrt{\frac{4}{M_{2}}} \\ \Rightarrow M_{2} = 16 Kgwt \end{array}$

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