Four identical rods are joined end to end to form a square. The mass of each rod is M. The moment of inertia of the system about an axis passing through the point  of intersection of diagonals and perpendicular to the plane of the square is

• A

  $\frac{4{\mathrm{ML}}^2}{3}$

• B

  $\frac{13{\mathrm{ML}}^2}{3}$

• C

  $\frac{{\mathrm{ML}}^2}{6}$

• D

  $\frac{13{\mathrm{ML}}^2}{6}$