Moment of inertia of a uniform annular disc of internal radius $r$ and external radius $R$ and mass $M$ about an axis through its centre and perpendicular to its plane is
Moment of inertia of a uniform annular disc of internal radius $r$ and external radius $R$ and mass $M$ about an axis through its centre and perpendicular to its plane is
- A
$\frac{1}{2}M\left( {{R^2} - {r^2}} \right)$
- B
$\frac{1}{2}M\left( {{R^2} + {r^2}} \right)$
- C
$\frac{{M\left( {{R^4} + {r^4}} \right)}}{{2\left( {{R^2} + {r^2}} \right)}}$
- D
$\frac{1}{2}\frac{{M\left( {{R^4} + {r^4}} \right)}}{{\left( {{R^2} - {r^2}} \right)}}$
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