Cello Plays a Note of Frequency $220 \mathrm{~Hz}$ Using a Length $L$

cello plays a note of frequency $220 \mathrm{~Hz}$ using a length $L$ of one of its strings. What length of the same string must be used in order to play a fundamental frequency of $256 \mathrm{~Hz}$ ? Assume in each case that the note played is the fundamental frequency of the string at the given length and that the tension $\mathrm{T}$ and mass per unit length are not changed when selecting a different length of the same string.

A) $1.72 \mathrm{~L}$
B) $0.86 \mathrm{~L}$
C) $0.43 \mathrm{~L}$
D) $0.58 \mathrm{~L}$
E) $2.32 \mathrm{~L}$
F) $1.16 \mathrm{~L}$