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

twice as long

what happened to "w" ?
who cares about the biggest answer? we want the correct answer.

would u please explain,thanks

To find the answer, we need to understand the relationship between the length of a musical instrument's wire/string and the pitch it produces. The pitch of a vibrating string is inversely proportional to its length. This means that when the length of a string is halved, the pitch increases by one octave (i.e., doubles in frequency).

Given that a taut wire of length 'w' emits a certain note, we are asked to determine the length needed to produce the same note but one octave lower. To do this, we should double the length of the original wire.

Calculating the lengths of the options provided, we have:

1) 2.3 x 8 = 18.4
2) 3.4 x 7 = 23.8
3) 4.5 x 6 = 27
4) 5.6 x 5 = 28
5) 6.7 x 4 = 26.8

Therefore, the option that provides the longest length is 5) 6.7 x 4 = 26.8.