Three thin rods each of length I and mass Mare placed along X, Y and Z axes in such a way that one end of each of the rods is at the origin as shown in fig

The moment of inertia of this system about Z-axis

• A

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

• B

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

• C

  $\frac{5{\mathrm{ML}}^2}{3}$

• D

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