Three identical thin rods each of mass \( m \& \) length \( l \) ar...

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Three identical thin rods each of mass \( m \& \) length \( l \) are placed along \( x, y \& z \)-axis respectively they are placed such that, one end of each rod is at origin ' \( O \) '. Then moment of inertia of this system about \( z \)-axis is
(1) \( \frac{3 \ell^{2}}{3} \)
(2) \( \frac{2 m \ell^{2}}{3} \)
(3) \( m l^{2} \)
(4) \( \frac{m \ell^{2}}{4} \)
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