A circular disc $X$ of radius $R$ is made from an iron plate of thickness $t$, and another disc $Y$ of radius 4R is made from an iron plate of thickness $\frac{t}{4}$. Then the relation between the moment of inertia $\mathrm{I}_{\mathrm{X}}$ and $\mathrm{I}_{\mathrm{Y}}$ is (1) $\mathrm{I}_{\mathrm{Y}} = 32\mathrm{I}_{\mathrm{x}}$ (2) $\mathrm{I}_{\mathrm{Y}} = 16\mathrm{I}_{\mathrm{X}}$ (3) $\mathrm{I}_{\mathrm{Y}} = \mathrm{I}_{\mathrm{X}}$ (4) $\mathrm{I}_{\mathrm{Y}} = 64\mathrm{I}_{\mathrm{X}}$
A circular disc $X$ of radius $R$ is made from an iron plate of thickness $t$, and another disc $Y$ of radius 4R is made from an iron plate of thickness $\frac{t}{4}$. Then the relation between the moment of inertia $\mathrm{I}_{\mathrm{X}}$ and $\mathrm{I}_{\mathrm{Y}}$ is\\
(1) $\mathrm{I}_{\mathrm{Y}} = 32\mathrm{I}_{\mathrm{x}}$\\
(2) $\mathrm{I}_{\mathrm{Y}} = 16\mathrm{I}_{\mathrm{X}}$\\
(3) $\mathrm{I}_{\mathrm{Y}} = \mathrm{I}_{\mathrm{X}}$\\
(4) $\mathrm{I}_{\mathrm{Y}} = 64\mathrm{I}_{\mathrm{X}}$