Given,$3^{49}(x+iy)=(\large\frac{3}{2}+\frac{\sqrt 3}{2})^{100}$$\quad y\in N$ and $x=ky$,then value of k is

Question

$\begin{array}{1 1}(A)\;-\large\frac{1}{3}&(B)\;-\large\frac{1}{\sqrt 3}\\(C)\;2\sqrt 2&(D)\;\large\frac{1}{4}\end{array}$