In order to double the frequency of the fundamental note emitted by a stretched string, the length is reduced to $\frac{3}{4}^{th}$ of the original length and the tension is changed. The factor by which the tension is to be changed is :

Question

( A ) $\frac{3}{8}$
( B ) $\frac{2}{3}$
( C ) $\frac{8}{9}$
( D ) $\frac{9}{4}$