When an oscillator completes 100 oscillation its amplitude reduced to $\frac{1}{3}$ of initial value. What will be its amplitude, when it completes 200 oscillation : -

Question

( A ) $\frac{1}{9}$
( B ) $\frac{2}{3}$
( C ) $\frac{1}{6}$
( D ) $\frac{1}{8}$