The moment of inertia of a semicircular plate of radius $R$ and mass $M$ about an axis $AA'$ in its plane passing through its centre is given by:

  • A
    $\frac{MR^2}{2}$
  • B
    $\frac{MR^2}{4} \cos^2 \theta$
  • C
    $\frac{MR^2}{4} \sin^2 \theta$
  • D
    $\frac{MR^2}{4}$

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What is the unit of moment of inertia in the $MKS$ system?

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