Three thin uniform rods each of mass \( M \) and length \( \mathrm{L} \) are placed along the th...

Three thin uniform rods each of mass \( M \) and length
\( \mathrm{L} \) are placed along the three axis of a cartesian coordinate system with one end of each rod at the origin. The M. I. of the system about \( z \)-axis is
(1) \( \frac{\mathrm{ML}^{2}}{3} \)
(2) \( \frac{2 \mathrm{ML}^{2}}{3} \)
(3) \( \frac{\mathrm{ML}^{2}}{6} \)
(4) \( \mathrm{ML}^{2} \)
(W)