The eccentricity of the hyperbola whose latus rectum is $8$ and conjugate axis is equal to half the distance between the foci is

Question

$\begin{array}{1 1}(A)\;\frac{4}{3}\\(B)\;\frac{4}{\sqrt 3} \\(C)\;\frac{2}{\sqrt 3} \\(D)\;\text{none of these} \end{array}$