Two rods each of mass $m$ and length $\ell$ are joined at their centers to form a cross. What is the moment of inertia of the cross about an axis passing through the common center and perpendicular to the plane formed by them?

  • A
    $\frac{m\ell^2}{12}$
  • B
    $\frac{m\ell^2}{6}$
  • C
    $\frac{m\ell^2}{3}$
  • D
    $\frac{m\ell^2}{2}$

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