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If the spherical planet of mass ' $\mathrm{M}^{\prime}$ and radius 'R' suddenly shrinks to half its size, its mass reduces to half. The new moment of inertia of the planet about its diameter is
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$\frac{\mathrm{MR}^{2}}{20}$
$\mathrm{I}_{1}=\frac{2}{5} \mathrm{MR}^{2}$
$\mathrm{I}_{2}=\frac{2}{5} \frac{M}{2} \times\left(\frac{R}{2}\right)^{2}=\frac{2}{5} \times \frac{M}{2} \times \frac{R^{2}}{4}=\frac{M R^{2}}{20}$
$\mathrm{I}_{2}=\frac{2}{5} \frac{M}{2} \times\left(\frac{R}{2}\right)^{2}=\frac{2}{5} \times \frac{M}{2} \times \frac{R^{2}}{4}=\frac{M R^{2}}{20}$
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