A T joint is formed by two identical rods A and B each of mass m and length L in the XY plane as shown. Its moment of inertia about axis passing through A and perpendicular to the plane of the joint,

1.  $\frac{2{\mathrm{mL}}^{2}}{3}$

2.  $\frac{{\mathrm{mL}}^{2}}{12}$

3.  $\frac{{\mathrm{mL}}^{2}}{6}$

4.  None of these