math
a taut wire of length'w'emits a single note when plucked.if it were half as long it would emit the same note but one octave higher.how long should the same wire be to emit the same note but one octave lower?which gives the biggest answer?1)2.3x8 2)3.4x7 3)4.5x6 4)5.6x5 5)6.7x4
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The biggest answer would be 5) 6.7x4. This is because the octave of a note is directly related to its frequency, and the frequency of a note is inversely related to its length. As the length of the wire is reduced, the resulting frequency of its note increases. For a given frequency, the length of wire required is inversely proportional to the frequency; in other words, the longer the wire, the lower the frequency -- and the lower the octave.
