28.The fundamental frequency of a stretched string with a weight of 9kg is 289Hz.The weight required to produce its octave is ----------

Understand the following:
Frequency in stretched strings is given by
Fundamental frequency f=12lFm/l
Hence
fαF

The ratio between the frequencies of successive octaves is 1:2.
Thus
f1f2=F1F212=90F2F2=360N
Hence the weight required is 36 kg

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