The moment of inertia of a rod of mass $M$ and length $L$ about an axis passing through its centre and perpendicular to it is $\frac{1}{12} ML^2$. The rod is bent in the middle so that the two halves make an angle of $60^o$. The moment of inertia of the bent rod about the same axis (passing through the original centre of the rod) would be:

• A
  $\frac{1}{48} ML^2$
• B
  $\frac{1}{12} ML^2$
• C
  $\frac{1}{24} ML^2$
• D
  $\frac{ML^2}{8\sqrt{3}}$