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

Answer: 16 kg wt
Explanation
  • The frequency of a stretched string is proportional to the square root of the tension.
  • To produce an octave (double frequency), the tension must increase fourfold.
  • Since the original tension is from 4 kg, the required tension is 4×4=16kg wt.
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