In music, two notes are said to be an octave apart whenone note is exactly twice the frequency of the other. Suppose youhave a guitar string playing frequency f_0.
a) To increase the frequency by 4 octave(s), to 16f_0, by what factor would you have toincrease the tension?
\frac{T'}{T_0} = ?
b) To increase the frequency by 4 octave(s), to 16f_0, by what factor would you have todecrease the length?
\frac{L_0}{L'} = ?